TSTP Solution File: ALG136+1 by Zenon---0.7.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG136+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 18:30:08 EDT 2022
% Result : Unsatisfiable 4.62s 4.83s
% Output : Proof 4.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG136+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % 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 : Wed Jun 8 18:25:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.62/4.83 (* PROOF-FOUND *)
% 4.62/4.83 % SZS status Unsatisfiable
% 4.62/4.83 (* BEGIN-PROOF *)
% 4.62/4.83 % SZS output start Proof
% 4.62/4.83 Theorem zenon_thm : False.
% 4.62/4.83 Proof.
% 4.62/4.83 assert (zenon_L1_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1f zenon_H20 zenon_H21.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.62/4.83 exact (zenon_H1e zenon_H23).
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.62/4.83 exact (zenon_H1f zenon_H25).
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.62/4.83 exact (zenon_H20 zenon_H27).
% 4.62/4.83 exact (zenon_H21 zenon_H26).
% 4.62/4.83 (* end of lemma zenon_L1_ *)
% 4.62/4.83 assert (zenon_L2_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H28 zenon_H29 zenon_H2a zenon_H2b zenon_H2c.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 4.62/4.83 exact (zenon_H29 zenon_H2e).
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 4.62/4.83 exact (zenon_H2a zenon_H30).
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 4.62/4.83 exact (zenon_H2b zenon_H32).
% 4.62/4.83 exact (zenon_H2c zenon_H31).
% 4.62/4.83 (* end of lemma zenon_L2_ *)
% 4.62/4.83 assert (zenon_L3_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H33 zenon_H34 zenon_H35 zenon_H36 zenon_H37 zenon_H38.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 4.62/4.83 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H35.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H34.
% 4.62/4.83 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 4.62/4.83 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H3c. apply refl_equal.
% 4.62/4.83 apply zenon_H3b. apply sym_equal. exact zenon_H3a.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 4.62/4.83 exact (zenon_H36 zenon_H3e).
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 4.62/4.83 exact (zenon_H37 zenon_H40).
% 4.62/4.83 exact (zenon_H38 zenon_H3f).
% 4.62/4.83 (* end of lemma zenon_L3_ *)
% 4.62/4.83 assert (zenon_L4_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H41 zenon_H42 zenon_H43.
% 4.62/4.83 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H41.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H42.
% 4.62/4.83 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 4.62/4.83 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H45. apply refl_equal.
% 4.62/4.83 apply zenon_H44. apply sym_equal. exact zenon_H43.
% 4.62/4.83 (* end of lemma zenon_L4_ *)
% 4.62/4.83 assert (zenon_L5_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H46 zenon_H47 zenon_H48.
% 4.62/4.83 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H46.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H47.
% 4.62/4.83 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 4.62/4.83 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H4a. apply refl_equal.
% 4.62/4.83 apply zenon_H49. apply sym_equal. exact zenon_H48.
% 4.62/4.83 (* end of lemma zenon_L5_ *)
% 4.62/4.83 assert (zenon_L6_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H4b zenon_H42 zenon_H41 zenon_H47 zenon_H46 zenon_H4c zenon_H4d.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H43 | zenon_intro zenon_H4e ].
% 4.62/4.83 apply (zenon_L4_); trivial.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H48 | zenon_intro zenon_H4f ].
% 4.62/4.83 apply (zenon_L5_); trivial.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 4.62/4.83 exact (zenon_H4c zenon_H51).
% 4.62/4.83 exact (zenon_H4d zenon_H50).
% 4.62/4.83 (* end of lemma zenon_L6_ *)
% 4.62/4.83 assert (zenon_L7_ : (~((e0) = (e0))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H52.
% 4.62/4.83 apply zenon_H52. apply refl_equal.
% 4.62/4.83 (* end of lemma zenon_L7_ *)
% 4.62/4.83 assert (zenon_L8_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H42 zenon_H53 zenon_H54.
% 4.62/4.83 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.62/4.83 cut (((e3) = (e3)) = ((e0) = (e3))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H54.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H55.
% 4.62/4.83 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.62/4.83 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 4.62/4.83 congruence.
% 4.62/4.83 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H57.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H42.
% 4.62/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.62/4.83 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 4.62/4.83 congruence.
% 4.62/4.83 exact (zenon_H58 zenon_H53).
% 4.62/4.83 apply zenon_H52. apply refl_equal.
% 4.62/4.83 apply zenon_H56. apply refl_equal.
% 4.62/4.83 apply zenon_H56. apply refl_equal.
% 4.62/4.83 (* end of lemma zenon_L8_ *)
% 4.62/4.83 assert (zenon_L9_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H59 zenon_H5a.
% 4.62/4.83 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 4.62/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H52. apply refl_equal.
% 4.62/4.83 exact (zenon_H5b zenon_H5a).
% 4.62/4.83 (* end of lemma zenon_L9_ *)
% 4.62/4.83 assert (zenon_L10_ : (~((e2) = (e2))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H5c.
% 4.62/4.83 apply zenon_H5c. apply refl_equal.
% 4.62/4.83 (* end of lemma zenon_L10_ *)
% 4.62/4.83 assert (zenon_L11_ : (~((e3) = (e3))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H56.
% 4.62/4.83 apply zenon_H56. apply refl_equal.
% 4.62/4.83 (* end of lemma zenon_L11_ *)
% 4.62/4.83 assert (zenon_L12_ : ((op (e2) (e1)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H5d zenon_H5e zenon_H5a.
% 4.62/4.83 apply (zenon_notand_s _ _ ax21); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ].
% 4.62/4.83 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e2) = (op (e0) (op (e0) (e0))))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H60.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H61.
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 4.62/4.83 congruence.
% 4.62/4.83 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H63.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H5e.
% 4.62/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.62/4.83 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 4.62/4.83 congruence.
% 4.62/4.83 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H64.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H61.
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 4.62/4.83 congruence.
% 4.62/4.83 apply (zenon_L9_); trivial.
% 4.62/4.83 apply zenon_H62. apply refl_equal.
% 4.62/4.83 apply zenon_H62. apply refl_equal.
% 4.62/4.83 apply zenon_H5c. apply refl_equal.
% 4.62/4.83 apply zenon_H62. apply refl_equal.
% 4.62/4.83 apply zenon_H62. apply refl_equal.
% 4.62/4.83 apply (zenon_notand_s _ _ zenon_H5f); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ].
% 4.62/4.83 apply zenon_H66. apply sym_equal. exact zenon_H5a.
% 4.62/4.83 elim (classic ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 4.62/4.83 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0)))) = ((e3) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H65.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H67.
% 4.62/4.83 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 4.62/4.83 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 4.62/4.83 congruence.
% 4.62/4.83 cut (((op (e2) (e1)) = (e3)) = ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (e3))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H69.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H5d.
% 4.62/4.83 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.62/4.83 cut (((op (e2) (e1)) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 4.62/4.83 congruence.
% 4.62/4.83 elim (classic ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 4.62/4.83 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0)))) = ((op (e2) (e1)) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H6a.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H67.
% 4.62/4.83 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 4.62/4.83 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 4.62/4.83 congruence.
% 4.62/4.83 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 4.62/4.83 congruence.
% 4.62/4.83 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H63.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H5e.
% 4.62/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.62/4.83 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 4.62/4.83 congruence.
% 4.62/4.83 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H64.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H61.
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.62/4.83 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 4.62/4.83 congruence.
% 4.62/4.83 apply (zenon_L9_); trivial.
% 4.62/4.83 apply zenon_H62. apply refl_equal.
% 4.62/4.83 apply zenon_H62. apply refl_equal.
% 4.62/4.83 apply zenon_H5c. apply refl_equal.
% 4.62/4.83 exact (zenon_H5b zenon_H5a).
% 4.62/4.83 apply zenon_H68. apply refl_equal.
% 4.62/4.83 apply zenon_H68. apply refl_equal.
% 4.62/4.83 apply zenon_H56. apply refl_equal.
% 4.62/4.83 apply zenon_H68. apply refl_equal.
% 4.62/4.83 apply zenon_H68. apply refl_equal.
% 4.62/4.83 (* end of lemma zenon_L12_ *)
% 4.62/4.83 assert (zenon_L13_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H6c zenon_H26 zenon_H6d.
% 4.62/4.83 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H6c.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H26.
% 4.62/4.83 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 4.62/4.83 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H6f. apply refl_equal.
% 4.62/4.83 apply zenon_H6e. apply sym_equal. exact zenon_H6d.
% 4.62/4.83 (* end of lemma zenon_L13_ *)
% 4.62/4.83 assert (zenon_L14_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H70 zenon_H71 zenon_H72.
% 4.62/4.83 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H70.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H71.
% 4.62/4.83 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 4.62/4.83 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H74. apply refl_equal.
% 4.62/4.83 apply zenon_H73. apply sym_equal. exact zenon_H72.
% 4.62/4.83 (* end of lemma zenon_L14_ *)
% 4.62/4.83 assert (zenon_L15_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H75 zenon_H26 zenon_H6c zenon_H71 zenon_H70 zenon_H76 zenon_H2c.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.62/4.83 apply (zenon_L13_); trivial.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.62/4.83 apply (zenon_L14_); trivial.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.62/4.83 exact (zenon_H76 zenon_H79).
% 4.62/4.83 exact (zenon_H2c zenon_H31).
% 4.62/4.83 (* end of lemma zenon_L15_ *)
% 4.62/4.83 assert (zenon_L16_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H70 zenon_H7a zenon_H6d.
% 4.62/4.83 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H70.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H7a.
% 4.62/4.83 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 4.62/4.83 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H74. apply refl_equal.
% 4.62/4.83 apply zenon_H6e. apply sym_equal. exact zenon_H6d.
% 4.62/4.83 (* end of lemma zenon_L16_ *)
% 4.62/4.83 assert (zenon_L17_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H7b zenon_H7c zenon_H36 zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H42 zenon_H4b zenon_H75 zenon_H7a zenon_H70 zenon_H76 zenon_H2c.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.62/4.83 exact (zenon_H7c zenon_H7e).
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.62/4.83 exact (zenon_H36 zenon_H3e).
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.62/4.83 apply (zenon_L6_); trivial.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.62/4.83 apply (zenon_L16_); trivial.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.62/4.83 apply (zenon_L14_); trivial.
% 4.62/4.83 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.62/4.83 exact (zenon_H76 zenon_H79).
% 4.62/4.83 exact (zenon_H2c zenon_H31).
% 4.62/4.83 (* end of lemma zenon_L17_ *)
% 4.62/4.83 assert (zenon_L18_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H80 zenon_H81 zenon_H82.
% 4.62/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.62/4.83 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H82.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H83.
% 4.62/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.62/4.83 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.62/4.83 congruence.
% 4.62/4.83 cut (((op (e2) (e3)) = (e0)) = ((e2) = (e0))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H84.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H80.
% 4.62/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.62/4.83 cut (((op (e2) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 4.62/4.83 congruence.
% 4.62/4.83 exact (zenon_H85 zenon_H81).
% 4.62/4.83 apply zenon_H52. apply refl_equal.
% 4.62/4.83 apply zenon_H5c. apply refl_equal.
% 4.62/4.83 apply zenon_H5c. apply refl_equal.
% 4.62/4.83 (* end of lemma zenon_L18_ *)
% 4.62/4.83 assert (zenon_L19_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H86 zenon_H87 zenon_H71.
% 4.62/4.83 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H86.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H87.
% 4.62/4.83 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 4.62/4.83 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H6f. apply refl_equal.
% 4.62/4.83 apply zenon_H88. apply sym_equal. exact zenon_H71.
% 4.62/4.83 (* end of lemma zenon_L19_ *)
% 4.62/4.83 assert (zenon_L20_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H89 zenon_H8a zenon_H81.
% 4.62/4.83 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H89.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H8a.
% 4.62/4.83 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 4.62/4.83 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.62/4.83 congruence.
% 4.62/4.83 apply zenon_H6f. apply refl_equal.
% 4.62/4.83 apply zenon_H8b. apply sym_equal. exact zenon_H81.
% 4.62/4.83 (* end of lemma zenon_L20_ *)
% 4.62/4.83 assert (zenon_L21_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False).
% 4.62/4.83 do 0 intro. intros zenon_H89 zenon_H8c zenon_H8d.
% 4.62/4.83 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 4.62/4.83 intro zenon_D_pnotp.
% 4.62/4.83 apply zenon_H89.
% 4.62/4.83 rewrite <- zenon_D_pnotp.
% 4.62/4.83 exact zenon_H8c.
% 4.62/4.83 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 4.62/4.83 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_H6f. apply refl_equal.
% 4.67/4.83 apply zenon_H8e. apply sym_equal. exact zenon_H8d.
% 4.67/4.83 (* end of lemma zenon_L21_ *)
% 4.67/4.83 assert (zenon_L22_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H8f zenon_H6d zenon_H6c zenon_H71 zenon_H86 zenon_H81 zenon_H89 zenon_H8d.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H26 | zenon_intro zenon_H90 ].
% 4.67/4.83 apply (zenon_L13_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H87 | zenon_intro zenon_H91 ].
% 4.67/4.83 apply (zenon_L19_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H8a | zenon_intro zenon_H8c ].
% 4.67/4.83 apply (zenon_L20_); trivial.
% 4.67/4.83 apply (zenon_L21_); trivial.
% 4.67/4.83 (* end of lemma zenon_L22_ *)
% 4.67/4.83 assert (zenon_L23_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H27 zenon_H92 zenon_H82.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H82.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e2)) = (e0)) = ((e2) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H84.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H27.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_H93 zenon_H92).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L23_ *)
% 4.67/4.83 assert (zenon_L24_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H94 zenon_H95 zenon_H96 zenon_H4c zenon_H89 zenon_H8a.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.67/4.83 exact (zenon_H96 zenon_H9a).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.67/4.83 exact (zenon_H4c zenon_H51).
% 4.67/4.83 apply (zenon_L20_); trivial.
% 4.67/4.83 (* end of lemma zenon_L24_ *)
% 4.67/4.83 assert (zenon_L25_ : (~((e1) = (e1))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H9b.
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L25_ *)
% 4.67/4.83 assert (zenon_L26_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H9c zenon_H5e zenon_H9d.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9d.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9e.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H9c.
% 4.67/4.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.83 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_H9f zenon_H5e).
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L26_ *)
% 4.67/4.83 assert (zenon_L27_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Ha0 zenon_Ha1 zenon_Ha2.
% 4.67/4.83 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Ha0.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Ha1.
% 4.67/4.83 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 4.67/4.83 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_H3c. apply refl_equal.
% 4.67/4.83 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2.
% 4.67/4.83 (* end of lemma zenon_L27_ *)
% 4.67/4.83 assert (zenon_L28_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_Ha6.
% 4.67/4.83 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Ha4.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Ha5.
% 4.67/4.83 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 4.67/4.83 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_Ha8. apply refl_equal.
% 4.67/4.83 apply zenon_Ha7. apply sym_equal. exact zenon_Ha6.
% 4.67/4.83 (* end of lemma zenon_L28_ *)
% 4.67/4.83 assert (zenon_L29_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Ha9 zenon_H82 zenon_H27 zenon_Ha1 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha5.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H92 | zenon_intro zenon_Haa ].
% 4.67/4.83 apply (zenon_L23_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hab ].
% 4.67/4.83 apply (zenon_L27_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H51 | zenon_intro zenon_Ha6 ].
% 4.67/4.83 exact (zenon_H4c zenon_H51).
% 4.67/4.83 apply (zenon_L28_); trivial.
% 4.67/4.83 (* end of lemma zenon_L29_ *)
% 4.67/4.83 assert (zenon_L30_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hac zenon_H9d zenon_H9c zenon_H37 zenon_H96 zenon_Ha9 zenon_H82 zenon_H27 zenon_Ha1 zenon_Ha0 zenon_H4c zenon_Ha4.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H5e | zenon_intro zenon_Had ].
% 4.67/4.83 apply (zenon_L26_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H40 | zenon_intro zenon_Hae ].
% 4.67/4.83 exact (zenon_H37 zenon_H40).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha5 ].
% 4.67/4.83 exact (zenon_H96 zenon_H9a).
% 4.67/4.83 apply (zenon_L29_); trivial.
% 4.67/4.83 (* end of lemma zenon_L30_ *)
% 4.67/4.83 assert (zenon_L31_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H42 zenon_H98 zenon_H82.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H82.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e2) (e0)) = (e0)) = ((e2) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H84.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H42.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L31_ *)
% 4.67/4.83 assert (zenon_L32_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Haf zenon_Hb0 zenon_Ha5.
% 4.67/4.83 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Haf.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hb0.
% 4.67/4.83 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 4.67/4.83 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_Hb2. apply refl_equal.
% 4.67/4.83 apply zenon_Hb1. apply sym_equal. exact zenon_Ha5.
% 4.67/4.83 (* end of lemma zenon_L32_ *)
% 4.67/4.83 assert (zenon_L33_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hac zenon_H9d zenon_H9c zenon_H37 zenon_H96 zenon_Haf zenon_Hb0.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H5e | zenon_intro zenon_Had ].
% 4.67/4.83 apply (zenon_L26_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H40 | zenon_intro zenon_Hae ].
% 4.67/4.83 exact (zenon_H37 zenon_H40).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha5 ].
% 4.67/4.83 exact (zenon_H96 zenon_H9a).
% 4.67/4.83 apply (zenon_L32_); trivial.
% 4.67/4.83 (* end of lemma zenon_L33_ *)
% 4.67/4.83 assert (zenon_L34_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H27 zenon_Ha9 zenon_H82 zenon_H42 zenon_Hac zenon_H9d zenon_H9c zenon_H37 zenon_H96 zenon_Haf.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.83 apply (zenon_L30_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.83 apply (zenon_L31_); trivial.
% 4.67/4.83 apply (zenon_L33_); trivial.
% 4.67/4.83 (* end of lemma zenon_L34_ *)
% 4.67/4.83 assert (zenon_L35_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H27 zenon_Hb8 zenon_Hb9.
% 4.67/4.83 elim (classic ((e1) = (e1))); [ zenon_intro zenon_Hba | zenon_intro zenon_H9b ].
% 4.67/4.83 cut (((e1) = (e1)) = ((e0) = (e1))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hb9.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hba.
% 4.67/4.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.83 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hbb.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H27.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hbc zenon_Hb8).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L35_ *)
% 4.67/4.83 assert (zenon_L36_ : ((op (e3) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hbd zenon_H34 zenon_Hbe.
% 4.67/4.83 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hb2 ].
% 4.67/4.83 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hbe.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hbf.
% 4.67/4.83 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.67/4.83 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e1) (e0)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hc0.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hbd.
% 4.67/4.83 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 4.67/4.83 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_Hb2. apply refl_equal.
% 4.67/4.83 apply zenon_Hc1. apply sym_equal. exact zenon_H34.
% 4.67/4.83 apply zenon_Hb2. apply refl_equal.
% 4.67/4.83 apply zenon_Hb2. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L36_ *)
% 4.67/4.83 assert (zenon_L37_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hc2 zenon_H3a.
% 4.67/4.83 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 4.67/4.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 exact (zenon_Hc3 zenon_H3a).
% 4.67/4.83 (* end of lemma zenon_L37_ *)
% 4.67/4.83 assert (zenon_L38_ : ((op (e2) (e0)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H53 zenon_Ha1 zenon_H3a.
% 4.67/4.83 apply (zenon_notand_s _ _ ax19); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ].
% 4.67/4.83 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hc5.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hc6.
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hc8.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Ha1.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 4.67/4.83 congruence.
% 4.67/4.83 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hc9.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hc6.
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 4.67/4.83 congruence.
% 4.67/4.83 apply (zenon_L37_); trivial.
% 4.67/4.83 apply zenon_Hc7. apply refl_equal.
% 4.67/4.83 apply zenon_Hc7. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_Hc7. apply refl_equal.
% 4.67/4.83 apply zenon_Hc7. apply refl_equal.
% 4.67/4.83 apply (zenon_notand_s _ _ zenon_Hc4); [ zenon_intro zenon_H3b | zenon_intro zenon_Hca ].
% 4.67/4.83 apply zenon_H3b. apply sym_equal. exact zenon_H3a.
% 4.67/4.83 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hcc ].
% 4.67/4.83 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((e3) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hca.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hcb.
% 4.67/4.83 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 4.67/4.83 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e2) (e0)) = (e3)) = ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e3))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hcd.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H53.
% 4.67/4.83 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.83 cut (((op (e2) (e0)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 4.67/4.83 congruence.
% 4.67/4.83 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hcc ].
% 4.67/4.83 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((op (e2) (e0)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hce.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hcb.
% 4.67/4.83 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 4.67/4.83 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hc8.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Ha1.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 4.67/4.83 congruence.
% 4.67/4.83 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hc9.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hc6.
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.67/4.83 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 4.67/4.83 congruence.
% 4.67/4.83 apply (zenon_L37_); trivial.
% 4.67/4.83 apply zenon_Hc7. apply refl_equal.
% 4.67/4.83 apply zenon_Hc7. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 exact (zenon_Hc3 zenon_H3a).
% 4.67/4.83 apply zenon_Hcc. apply refl_equal.
% 4.67/4.83 apply zenon_Hcc. apply refl_equal.
% 4.67/4.83 apply zenon_H56. apply refl_equal.
% 4.67/4.83 apply zenon_Hcc. apply refl_equal.
% 4.67/4.83 apply zenon_Hcc. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L38_ *)
% 4.67/4.83 assert (zenon_L39_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hd0 zenon_Hd1 zenon_H5d.
% 4.67/4.83 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hd0.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hd1.
% 4.67/4.83 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 4.67/4.83 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_Hd3. apply refl_equal.
% 4.67/4.83 apply zenon_Hd2. apply sym_equal. exact zenon_H5d.
% 4.67/4.83 (* end of lemma zenon_L39_ *)
% 4.67/4.83 assert (zenon_L40_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H26 zenon_H87 zenon_Hb9.
% 4.67/4.83 elim (classic ((e1) = (e1))); [ zenon_intro zenon_Hba | zenon_intro zenon_H9b ].
% 4.67/4.83 cut (((e1) = (e1)) = ((e0) = (e1))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hb9.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hba.
% 4.67/4.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.83 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hbb.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H26.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hd4 zenon_H87).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L40_ *)
% 4.67/4.83 assert (zenon_L41_ : ((op (e2) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hd5 zenon_H81 zenon_H9d.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9d.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e2) (e3)) = (e1)) = ((e2) = (e1))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9e.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hd5.
% 4.67/4.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.83 cut (((op (e2) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_H85 zenon_H81).
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L41_ *)
% 4.67/4.83 assert (zenon_L42_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H86 zenon_H26 zenon_H7a.
% 4.67/4.83 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H86.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H26.
% 4.67/4.83 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 4.67/4.83 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_H6f. apply refl_equal.
% 4.67/4.83 apply zenon_Hd6. apply sym_equal. exact zenon_H7a.
% 4.67/4.83 (* end of lemma zenon_L42_ *)
% 4.67/4.83 assert (zenon_L43_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hd7 zenon_Ha1 zenon_Hd8.
% 4.67/4.83 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hd7.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Ha1.
% 4.67/4.83 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 4.67/4.83 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_H3c. apply refl_equal.
% 4.67/4.83 apply zenon_Hd9. apply sym_equal. exact zenon_Hd8.
% 4.67/4.83 (* end of lemma zenon_L43_ *)
% 4.67/4.83 assert (zenon_L44_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hda zenon_Hdb zenon_H8d.
% 4.67/4.83 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hda.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hdb.
% 4.67/4.83 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 4.67/4.83 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_H74. apply refl_equal.
% 4.67/4.83 apply zenon_H8e. apply sym_equal. exact zenon_H8d.
% 4.67/4.83 (* end of lemma zenon_L44_ *)
% 4.67/4.83 assert (zenon_L45_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hdc zenon_H26 zenon_H86 zenon_H72 zenon_H70 zenon_Ha1 zenon_Hd7 zenon_Hda zenon_H8d.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H7a | zenon_intro zenon_Hdd ].
% 4.67/4.83 apply (zenon_L42_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H71 | zenon_intro zenon_Hde ].
% 4.67/4.83 apply (zenon_L14_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hdb ].
% 4.67/4.83 apply (zenon_L43_); trivial.
% 4.67/4.83 apply (zenon_L44_); trivial.
% 4.67/4.83 (* end of lemma zenon_L45_ *)
% 4.67/4.83 assert (zenon_L46_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hdf zenon_Hb9 zenon_H2c zenon_H76 zenon_H6c zenon_H75 zenon_H9d zenon_H81 zenon_Hdc zenon_H26 zenon_H86 zenon_H70 zenon_Ha1 zenon_Hd7 zenon_Hda zenon_H8d.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H87 | zenon_intro zenon_He0 ].
% 4.67/4.83 apply (zenon_L40_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H71 | zenon_intro zenon_He1 ].
% 4.67/4.83 apply (zenon_L15_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H72 ].
% 4.67/4.83 apply (zenon_L41_); trivial.
% 4.67/4.83 apply (zenon_L45_); trivial.
% 4.67/4.83 (* end of lemma zenon_L46_ *)
% 4.67/4.83 assert (zenon_L47_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_He2 zenon_H3a zenon_Hd1 zenon_Hd0 zenon_H4d zenon_Hdf zenon_Hb9 zenon_H2c zenon_H76 zenon_H6c zenon_H75 zenon_H9d zenon_H81 zenon_Hdc zenon_H26 zenon_H86 zenon_H70 zenon_Ha1 zenon_Hd7 zenon_Hda.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H53 | zenon_intro zenon_He3 ].
% 4.67/4.83 apply (zenon_L38_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H5d | zenon_intro zenon_He4 ].
% 4.67/4.83 apply (zenon_L39_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H50 | zenon_intro zenon_H8d ].
% 4.67/4.83 exact (zenon_H4d zenon_H50).
% 4.67/4.83 apply (zenon_L46_); trivial.
% 4.67/4.83 (* end of lemma zenon_L47_ *)
% 4.67/4.83 assert (zenon_L48_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H94 zenon_H95 zenon_H96 zenon_H4c zenon_He2 zenon_H3a zenon_Hd1 zenon_Hd0 zenon_H4d zenon_Hdf zenon_Hb9 zenon_H2c zenon_H76 zenon_H6c zenon_H75 zenon_H9d zenon_Hdc zenon_H26 zenon_H86 zenon_H70 zenon_Ha1 zenon_Hd7 zenon_Hda.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.67/4.83 exact (zenon_H96 zenon_H9a).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.67/4.83 exact (zenon_H4c zenon_H51).
% 4.67/4.83 apply (zenon_L47_); trivial.
% 4.67/4.83 (* end of lemma zenon_L48_ *)
% 4.67/4.83 assert (zenon_L49_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_He5 zenon_H3a zenon_He6.
% 4.67/4.83 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_He7 | zenon_intro zenon_H4a ].
% 4.67/4.83 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_He6.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_He7.
% 4.67/4.83 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 4.67/4.83 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e1) (e1)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_He8.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_He5.
% 4.67/4.83 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 4.67/4.83 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_H4a. apply refl_equal.
% 4.67/4.83 apply zenon_H3b. apply sym_equal. exact zenon_H3a.
% 4.67/4.83 apply zenon_H4a. apply refl_equal.
% 4.67/4.83 apply zenon_H4a. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L49_ *)
% 4.67/4.83 assert (zenon_L50_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H33 zenon_He6 zenon_He5 zenon_H36 zenon_H37 zenon_H38.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 4.67/4.83 apply (zenon_L49_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 4.67/4.83 exact (zenon_H36 zenon_H3e).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 4.67/4.83 exact (zenon_H37 zenon_H40).
% 4.67/4.83 exact (zenon_H38 zenon_H3f).
% 4.67/4.83 (* end of lemma zenon_L50_ *)
% 4.67/4.83 assert (zenon_L51_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_He9 zenon_Hbe zenon_Hbd zenon_Hda zenon_Hd7 zenon_Ha1 zenon_H70 zenon_Hdc zenon_H9d zenon_H75 zenon_H6c zenon_H76 zenon_H2c zenon_Hb9 zenon_Hdf zenon_H4d zenon_Hd0 zenon_Hd1 zenon_He2 zenon_H4c zenon_H96 zenon_H95 zenon_H94 zenon_H38 zenon_H37 zenon_H36 zenon_He6 zenon_H33 zenon_H86 zenon_H26.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.67/4.83 apply (zenon_L36_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.67/4.83 apply (zenon_L48_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.67/4.83 apply (zenon_L50_); trivial.
% 4.67/4.83 apply (zenon_L42_); trivial.
% 4.67/4.83 (* end of lemma zenon_L51_ *)
% 4.67/4.83 assert (zenon_L52_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H34 zenon_Ha1 zenon_H82.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H82.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H84.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H34.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hec zenon_Ha1).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L52_ *)
% 4.67/4.83 assert (zenon_L53_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H27 zenon_Hed zenon_H54.
% 4.67/4.83 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.83 cut (((e3) = (e3)) = ((e0) = (e3))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H54.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H55.
% 4.67/4.83 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.83 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H57.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H27.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hee zenon_Hed).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H56. apply refl_equal.
% 4.67/4.83 apply zenon_H56. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L53_ *)
% 4.67/4.83 assert (zenon_L54_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hef zenon_Hf0 zenon_Hf1.
% 4.67/4.83 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hef.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hf0.
% 4.67/4.83 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 4.67/4.83 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_H45. apply refl_equal.
% 4.67/4.83 apply zenon_Hf2. apply sym_equal. exact zenon_Hf1.
% 4.67/4.83 (* end of lemma zenon_L54_ *)
% 4.67/4.83 assert (zenon_L55_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hf3 zenon_H43 zenon_H41 zenon_Hf1 zenon_Hef zenon_H95 zenon_Ha1 zenon_H3a.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf4 ].
% 4.67/4.83 apply (zenon_L4_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf5 ].
% 4.67/4.83 apply (zenon_L54_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H98 | zenon_intro zenon_H53 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_L38_); trivial.
% 4.67/4.83 (* end of lemma zenon_L55_ *)
% 4.67/4.83 assert (zenon_L56_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hf6 zenon_Hbd zenon_Hf7.
% 4.67/4.83 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hf6.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hbd.
% 4.67/4.83 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 4.67/4.83 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_Hb2. apply refl_equal.
% 4.67/4.83 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 4.67/4.83 (* end of lemma zenon_L56_ *)
% 4.67/4.83 assert (zenon_L57_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hf9 zenon_Hfa zenon_H72.
% 4.67/4.83 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hf9.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hfa.
% 4.67/4.83 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 4.67/4.83 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_Ha8. apply refl_equal.
% 4.67/4.83 apply zenon_H73. apply sym_equal. exact zenon_H72.
% 4.67/4.83 (* end of lemma zenon_L57_ *)
% 4.67/4.83 assert (zenon_L58_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hdf zenon_Hb9 zenon_H2c zenon_H76 zenon_H70 zenon_H6c zenon_H26 zenon_H75 zenon_H9d zenon_H81 zenon_Hf9 zenon_Hfa.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H87 | zenon_intro zenon_He0 ].
% 4.67/4.83 apply (zenon_L40_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H71 | zenon_intro zenon_He1 ].
% 4.67/4.83 apply (zenon_L15_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H72 ].
% 4.67/4.83 apply (zenon_L41_); trivial.
% 4.67/4.83 apply (zenon_L57_); trivial.
% 4.67/4.83 (* end of lemma zenon_L58_ *)
% 4.67/4.83 assert (zenon_L59_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H94 zenon_H95 zenon_H96 zenon_H4c zenon_Hdf zenon_Hb9 zenon_H2c zenon_H76 zenon_H70 zenon_H6c zenon_H26 zenon_H75 zenon_H9d zenon_Hf9 zenon_Hfa.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.67/4.83 exact (zenon_H96 zenon_H9a).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.67/4.83 exact (zenon_H4c zenon_H51).
% 4.67/4.83 apply (zenon_L58_); trivial.
% 4.67/4.83 (* end of lemma zenon_L59_ *)
% 4.67/4.83 assert (zenon_L60_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H26 zenon_H8c zenon_H54.
% 4.67/4.83 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.83 cut (((e3) = (e3)) = ((e0) = (e3))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H54.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H55.
% 4.67/4.83 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.83 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H57.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H26.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hfb zenon_H8c).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H56. apply refl_equal.
% 4.67/4.83 apply zenon_H56. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L60_ *)
% 4.67/4.83 assert (zenon_L61_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hbd zenon_Hb0 zenon_H82.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H82.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e3) (e0)) = (e0)) = ((e2) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H84.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hbd.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hfc zenon_Hb0).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L61_ *)
% 4.67/4.83 assert (zenon_L62_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H92 zenon_Hed zenon_Hfd.
% 4.67/4.83 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.83 cut (((e3) = (e3)) = ((e2) = (e3))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hfd.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H55.
% 4.67/4.83 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.83 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Hfe.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H92.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hee zenon_Hed).
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H56. apply refl_equal.
% 4.67/4.83 apply zenon_H56. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L62_ *)
% 4.67/4.83 assert (zenon_L63_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H26 zenon_H8a zenon_H82.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H82.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H84.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H26.
% 4.67/4.83 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.83 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hff zenon_H8a).
% 4.67/4.83 apply zenon_H52. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L63_ *)
% 4.67/4.83 assert (zenon_L64_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H100 zenon_H101 zenon_Hf6 zenon_Hf3 zenon_H41 zenon_Hef zenon_H102 zenon_Hf9 zenon_Hbd zenon_H95 zenon_H103 zenon_H104 zenon_H86 zenon_H33 zenon_He6 zenon_H36 zenon_H37 zenon_H38 zenon_H94 zenon_H96 zenon_H4c zenon_He2 zenon_Hd0 zenon_H4d zenon_Hdf zenon_Hb9 zenon_H2c zenon_H76 zenon_H6c zenon_H75 zenon_H9d zenon_Hdc zenon_H70 zenon_Hd7 zenon_Hda zenon_Hbe zenon_He9 zenon_Hfd zenon_H54 zenon_Hb4 zenon_Hb3 zenon_H26 zenon_H82.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.67/4.83 exact (zenon_H104 zenon_H108).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.67/4.83 apply (zenon_L51_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.67/4.83 apply (zenon_L52_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H9c | zenon_intro zenon_H10a ].
% 4.67/4.83 apply (zenon_L26_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H3e | zenon_intro zenon_H10b ].
% 4.67/4.83 exact (zenon_H36 zenon_H3e).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hfa ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H27 | zenon_intro zenon_H10c ].
% 4.67/4.83 apply (zenon_L53_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_He5 | zenon_intro zenon_H10d ].
% 4.67/4.83 apply (zenon_L49_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf7 ].
% 4.67/4.83 apply (zenon_L55_); trivial.
% 4.67/4.83 apply (zenon_L56_); trivial.
% 4.67/4.83 apply (zenon_L59_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.67/4.83 apply (zenon_L50_); trivial.
% 4.67/4.83 apply (zenon_L42_); trivial.
% 4.67/4.83 apply (zenon_L60_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_L61_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.67/4.83 exact (zenon_H104 zenon_H108).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.67/4.83 apply (zenon_L51_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.67/4.83 apply (zenon_L62_); trivial.
% 4.67/4.83 apply (zenon_L60_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_L61_); trivial.
% 4.67/4.83 apply (zenon_L63_); trivial.
% 4.67/4.83 (* end of lemma zenon_L64_ *)
% 4.67/4.83 assert (zenon_L65_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Haf zenon_Hbd zenon_H10e.
% 4.67/4.83 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_Haf.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hbd.
% 4.67/4.83 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 4.67/4.83 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_Hb2. apply refl_equal.
% 4.67/4.83 apply zenon_H10f. apply sym_equal. exact zenon_H10e.
% 4.67/4.83 (* end of lemma zenon_L65_ *)
% 4.67/4.83 assert (zenon_L66_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H75 zenon_H7a zenon_H70 zenon_Hfa zenon_Hf9 zenon_H76 zenon_H2c.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.67/4.83 apply (zenon_L16_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.67/4.83 apply (zenon_L57_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.67/4.83 exact (zenon_H76 zenon_H79).
% 4.67/4.83 exact (zenon_H2c zenon_H31).
% 4.67/4.83 (* end of lemma zenon_L66_ *)
% 4.67/4.83 assert (zenon_L67_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H110 zenon_Hbd zenon_Haf zenon_H2c zenon_H76 zenon_Hf9 zenon_H70 zenon_H7a zenon_H75 zenon_Ha6 zenon_Ha4 zenon_H2a.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10e | zenon_intro zenon_H111 ].
% 4.67/4.83 apply (zenon_L65_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ].
% 4.67/4.83 apply (zenon_L66_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H30 ].
% 4.67/4.83 apply (zenon_L28_); trivial.
% 4.67/4.83 exact (zenon_H2a zenon_H30).
% 4.67/4.83 (* end of lemma zenon_L67_ *)
% 4.67/4.83 assert (zenon_L68_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H113 zenon_Hbd zenon_H6d.
% 4.67/4.83 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H113.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hbd.
% 4.67/4.83 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 4.67/4.83 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.67/4.83 congruence.
% 4.67/4.83 apply zenon_Hb2. apply refl_equal.
% 4.67/4.83 apply zenon_H6e. apply sym_equal. exact zenon_H6d.
% 4.67/4.83 (* end of lemma zenon_L68_ *)
% 4.67/4.83 assert (zenon_L69_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H114 zenon_H1e zenon_H35 zenon_H4b zenon_H46 zenon_H7c zenon_H7b zenon_H100 zenon_H101 zenon_Hf6 zenon_Hf3 zenon_H41 zenon_Hef zenon_H102 zenon_Hf9 zenon_H95 zenon_H103 zenon_H104 zenon_H86 zenon_H33 zenon_He6 zenon_H36 zenon_H37 zenon_H38 zenon_H94 zenon_H96 zenon_H4c zenon_He2 zenon_Hd0 zenon_H4d zenon_Hdf zenon_Hb9 zenon_H2c zenon_H76 zenon_H6c zenon_H75 zenon_H9d zenon_Hdc zenon_H70 zenon_Hd7 zenon_Hda zenon_Hbe zenon_He9 zenon_Hfd zenon_H54 zenon_Hb4 zenon_Hb3 zenon_H26 zenon_H82.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.67/4.83 exact (zenon_H1e zenon_H23).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.67/4.83 apply (zenon_L3_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.67/4.83 exact (zenon_H7c zenon_H7e).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.67/4.83 exact (zenon_H36 zenon_H3e).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.67/4.83 apply (zenon_L6_); trivial.
% 4.67/4.83 apply (zenon_L15_); trivial.
% 4.67/4.83 apply (zenon_L64_); trivial.
% 4.67/4.83 (* end of lemma zenon_L69_ *)
% 4.67/4.83 assert (zenon_L70_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H1d zenon_H1f zenon_Ha9 zenon_Ha0 zenon_H117 zenon_H2a zenon_Ha4 zenon_Haf zenon_H110 zenon_H113 zenon_H118 zenon_H89 zenon_H8f zenon_Hac zenon_H114 zenon_H1e zenon_H35 zenon_H4b zenon_H46 zenon_H7c zenon_H7b zenon_H100 zenon_H101 zenon_Hf6 zenon_Hf3 zenon_H41 zenon_Hef zenon_H102 zenon_Hf9 zenon_H95 zenon_H103 zenon_H104 zenon_H86 zenon_H33 zenon_He6 zenon_H36 zenon_H37 zenon_H38 zenon_H94 zenon_H96 zenon_H4c zenon_He2 zenon_Hd0 zenon_H4d zenon_Hdf zenon_Hb9 zenon_H2c zenon_H76 zenon_H6c zenon_H75 zenon_H9d zenon_Hdc zenon_H70 zenon_Hd7 zenon_Hda zenon_Hbe zenon_He9 zenon_Hfd zenon_H54 zenon_Hb4 zenon_Hb3 zenon_H82.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.67/4.83 exact (zenon_H1e zenon_H23).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.67/4.83 exact (zenon_H1f zenon_H25).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.67/4.83 exact (zenon_H1e zenon_H23).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.67/4.83 apply (zenon_L3_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.67/4.83 exact (zenon_H7c zenon_H7e).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.67/4.83 exact (zenon_H36 zenon_H3e).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.67/4.83 apply (zenon_L6_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.67/4.83 exact (zenon_H96 zenon_H9a).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.67/4.83 exact (zenon_H4c zenon_H51).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H53 | zenon_intro zenon_He3 ].
% 4.67/4.83 apply (zenon_L8_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H5d | zenon_intro zenon_He4 ].
% 4.67/4.83 apply (zenon_L12_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H50 | zenon_intro zenon_H8d ].
% 4.67/4.83 exact (zenon_H4d zenon_H50).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H26 | zenon_intro zenon_H11a ].
% 4.67/4.83 apply (zenon_L15_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H7a | zenon_intro zenon_H11b ].
% 4.67/4.83 apply (zenon_L17_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H80 | zenon_intro zenon_H6d ].
% 4.67/4.83 apply (zenon_L18_); trivial.
% 4.67/4.83 apply (zenon_L22_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.67/4.83 apply (zenon_L23_); trivial.
% 4.67/4.83 apply (zenon_L24_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.83 apply (zenon_L34_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.83 apply (zenon_L35_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.67/4.83 exact (zenon_H7c zenon_H7e).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.67/4.83 exact (zenon_H36 zenon_H3e).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.67/4.83 apply (zenon_L6_); trivial.
% 4.67/4.83 apply (zenon_L19_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.67/4.83 exact (zenon_H96 zenon_H9a).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.67/4.83 exact (zenon_H4c zenon_H51).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H92 | zenon_intro zenon_Haa ].
% 4.67/4.83 apply (zenon_L23_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hab ].
% 4.67/4.83 apply (zenon_L27_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H51 | zenon_intro zenon_Ha6 ].
% 4.67/4.83 exact (zenon_H4c zenon_H51).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H26 | zenon_intro zenon_H11a ].
% 4.67/4.83 apply (zenon_L64_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H7a | zenon_intro zenon_H11b ].
% 4.67/4.83 apply (zenon_L67_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H80 | zenon_intro zenon_H6d ].
% 4.67/4.83 apply (zenon_L18_); trivial.
% 4.67/4.83 apply (zenon_L68_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_L61_); trivial.
% 4.67/4.83 apply (zenon_L69_); trivial.
% 4.67/4.83 (* end of lemma zenon_L70_ *)
% 4.67/4.83 assert (zenon_L71_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H38 zenon_H33 zenon_H1d zenon_H29 zenon_H2a zenon_H2c zenon_H28.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H2b | zenon_intro zenon_H76 ].
% 4.67/4.83 apply (zenon_L2_); trivial.
% 4.67/4.83 apply (zenon_L70_); trivial.
% 4.67/4.83 (* end of lemma zenon_L71_ *)
% 4.67/4.83 assert (zenon_L72_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H11e zenon_H1d zenon_H33 zenon_H38 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_H95 zenon_H96 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4c zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H29 zenon_H2a zenon_H2c zenon_H28.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H2b | zenon_intro zenon_H37 ].
% 4.67/4.83 apply (zenon_L2_); trivial.
% 4.67/4.83 apply (zenon_L71_); trivial.
% 4.67/4.83 (* end of lemma zenon_L72_ *)
% 4.67/4.83 assert (zenon_L73_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H11f zenon_H1e zenon_H5b zenon_Hb4 zenon_H104.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H23 | zenon_intro zenon_H120 ].
% 4.67/4.83 exact (zenon_H1e zenon_H23).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H5a | zenon_intro zenon_H121 ].
% 4.67/4.83 exact (zenon_H5b zenon_H5a).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H108 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 exact (zenon_H104 zenon_H108).
% 4.67/4.83 (* end of lemma zenon_L73_ *)
% 4.67/4.83 assert (zenon_L74_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H122 zenon_H5b zenon_Hb4 zenon_H11f zenon_H1e zenon_H1f zenon_H20 zenon_H1d.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.67/4.83 apply (zenon_L1_); trivial.
% 4.67/4.83 apply (zenon_L73_); trivial.
% 4.67/4.83 (* end of lemma zenon_L74_ *)
% 4.67/4.83 assert (zenon_L75_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hf0 zenon_H98 zenon_H9d.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9d.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e2) (e0)) = (e1)) = ((e2) = (e1))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9e.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_Hf0.
% 4.67/4.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.83 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L75_ *)
% 4.67/4.83 assert (zenon_L76_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H27 zenon_H82 zenon_Ha9 zenon_Hf0 zenon_Hac zenon_H9d zenon_H9c zenon_H37 zenon_H96 zenon_Haf.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.83 apply (zenon_L30_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.83 apply (zenon_L75_); trivial.
% 4.67/4.83 apply (zenon_L33_); trivial.
% 4.67/4.83 (* end of lemma zenon_L76_ *)
% 4.67/4.83 assert (zenon_L77_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H123 zenon_Hb0 zenon_H9d.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9d.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9e.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H123.
% 4.67/4.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.83 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hfc zenon_Hb0).
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 (* end of lemma zenon_L77_ *)
% 4.67/4.83 assert (zenon_L78_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H82 zenon_H34 zenon_H95 zenon_H123 zenon_H9d.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.83 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.83 apply (zenon_L52_); trivial.
% 4.67/4.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.83 exact (zenon_H95 zenon_H98).
% 4.67/4.83 apply (zenon_L77_); trivial.
% 4.67/4.83 (* end of lemma zenon_L78_ *)
% 4.67/4.83 assert (zenon_L79_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.67/4.83 do 0 intro. intros zenon_H87 zenon_H8a zenon_H9d.
% 4.67/4.83 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.83 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9d.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H83.
% 4.67/4.83 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.83 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.67/4.83 congruence.
% 4.67/4.83 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))).
% 4.67/4.83 intro zenon_D_pnotp.
% 4.67/4.83 apply zenon_H9e.
% 4.67/4.83 rewrite <- zenon_D_pnotp.
% 4.67/4.83 exact zenon_H87.
% 4.67/4.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.83 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 4.67/4.83 congruence.
% 4.67/4.83 exact (zenon_Hff zenon_H8a).
% 4.67/4.83 apply zenon_H9b. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.83 apply zenon_H5c. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L79_ *)
% 4.67/4.84 assert (zenon_L80_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H124 zenon_H108.
% 4.67/4.84 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H104].
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 exact (zenon_H104 zenon_H108).
% 4.67/4.84 (* end of lemma zenon_L80_ *)
% 4.67/4.84 assert (zenon_L81_ : ((op (e1) (e3)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_Hd8 zenon_H87 zenon_H108.
% 4.67/4.84 apply (zenon_notand_s _ _ ax17); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ].
% 4.67/4.84 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H126.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H61.
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H127.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H87.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H128].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H128.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H61.
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 4.67/4.84 congruence.
% 4.67/4.84 apply (zenon_L80_); trivial.
% 4.67/4.84 apply zenon_H62. apply refl_equal.
% 4.67/4.84 apply zenon_H62. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H62. apply refl_equal.
% 4.67/4.84 apply zenon_H62. apply refl_equal.
% 4.67/4.84 apply (zenon_notand_s _ _ zenon_H125); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ].
% 4.67/4.84 apply zenon_H12a. apply sym_equal. exact zenon_H108.
% 4.67/4.84 elim (classic ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 4.67/4.84 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0)))) = ((e2) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H129.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H67.
% 4.67/4.84 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 4.67/4.84 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e3)) = (e2)) = ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (e2))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H12b.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hd8.
% 4.67/4.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.84 cut (((op (e1) (e3)) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 4.67/4.84 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0)))) = ((op (e1) (e3)) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H12c.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H67.
% 4.67/4.84 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 4.67/4.84 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H104].
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H127.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H87.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H128].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H128.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H61.
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.67/4.84 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 4.67/4.84 congruence.
% 4.67/4.84 apply (zenon_L80_); trivial.
% 4.67/4.84 apply zenon_H62. apply refl_equal.
% 4.67/4.84 apply zenon_H62. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 exact (zenon_H104 zenon_H108).
% 4.67/4.84 apply zenon_H68. apply refl_equal.
% 4.67/4.84 apply zenon_H68. apply refl_equal.
% 4.67/4.84 apply zenon_H5c. apply refl_equal.
% 4.67/4.84 apply zenon_H68. apply refl_equal.
% 4.67/4.84 apply zenon_H68. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L81_ *)
% 4.67/4.84 assert (zenon_L82_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H11f zenon_H1e zenon_H5b zenon_Hb4 zenon_Hd8 zenon_H87.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H23 | zenon_intro zenon_H120 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H5a | zenon_intro zenon_H121 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H108 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_L81_); trivial.
% 4.67/4.84 (* end of lemma zenon_L82_ *)
% 4.67/4.84 assert (zenon_L83_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H12e zenon_H9d zenon_H87 zenon_Hb4 zenon_H5b zenon_H1e zenon_H11f zenon_H85 zenon_H76.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H8a | zenon_intro zenon_H12f ].
% 4.67/4.84 apply (zenon_L79_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H130 ].
% 4.67/4.84 apply (zenon_L82_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H81 | zenon_intro zenon_H79 ].
% 4.67/4.84 exact (zenon_H85 zenon_H81).
% 4.67/4.84 exact (zenon_H76 zenon_H79).
% 4.67/4.84 (* end of lemma zenon_L83_ *)
% 4.67/4.84 assert (zenon_L84_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H118 zenon_Haf zenon_H96 zenon_H37 zenon_Hac zenon_H42 zenon_H82 zenon_Ha9 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Hb3 zenon_Hb9 zenon_H27 zenon_H12e zenon_H9d zenon_Hb4 zenon_H5b zenon_H1e zenon_H11f zenon_H85 zenon_H76.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.84 apply (zenon_L34_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.84 apply (zenon_L35_); trivial.
% 4.67/4.84 apply (zenon_L83_); trivial.
% 4.67/4.84 (* end of lemma zenon_L84_ *)
% 4.67/4.84 assert (zenon_L85_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H27 zenon_Ha9 zenon_H96 zenon_H37 zenon_H9c zenon_Hac zenon_H9d zenon_Hf0 zenon_Hbd zenon_H82.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.84 apply (zenon_L30_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.84 apply (zenon_L75_); trivial.
% 4.67/4.84 apply (zenon_L61_); trivial.
% 4.67/4.84 (* end of lemma zenon_L85_ *)
% 4.67/4.84 assert (zenon_L86_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_Hbd zenon_H123 zenon_Hb9.
% 4.67/4.84 elim (classic ((e1) = (e1))); [ zenon_intro zenon_Hba | zenon_intro zenon_H9b ].
% 4.67/4.84 cut (((e1) = (e1)) = ((e0) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hb9.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hba.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hbb.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hbd.
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H131 zenon_H123).
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L86_ *)
% 4.67/4.84 assert (zenon_L87_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H132 zenon_Hb8 zenon_H47.
% 4.67/4.84 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H132.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hb8.
% 4.67/4.84 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 4.67/4.84 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H134. apply refl_equal.
% 4.67/4.84 apply zenon_H133. apply sym_equal. exact zenon_H47.
% 4.67/4.84 (* end of lemma zenon_L87_ *)
% 4.67/4.84 assert (zenon_L88_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H7b zenon_H7c zenon_H36 zenon_Hb8 zenon_H132 zenon_H135.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.67/4.84 exact (zenon_H7c zenon_H7e).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.67/4.84 exact (zenon_H36 zenon_H3e).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.67/4.84 apply (zenon_L87_); trivial.
% 4.67/4.84 exact (zenon_H135 zenon_H71).
% 4.67/4.84 (* end of lemma zenon_L88_ *)
% 4.67/4.84 assert (zenon_L89_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H94 zenon_H95 zenon_H5e zenon_Hd0 zenon_H4c zenon_H85.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.67/4.84 exact (zenon_H95 zenon_H98).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.67/4.84 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hd0.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H5e.
% 4.67/4.84 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 4.67/4.84 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_Hd3. apply refl_equal.
% 4.67/4.84 apply zenon_H136. apply sym_equal. exact zenon_H9a.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.67/4.84 exact (zenon_H4c zenon_H51).
% 4.67/4.84 exact (zenon_H85 zenon_H81).
% 4.67/4.84 (* end of lemma zenon_L89_ *)
% 4.67/4.84 assert (zenon_L90_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H100 zenon_Hb4 zenon_H85 zenon_H4c zenon_Hd0 zenon_H95 zenon_H94 zenon_H82 zenon_H27 zenon_H87 zenon_H9d.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.67/4.84 apply (zenon_L89_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.67/4.84 apply (zenon_L23_); trivial.
% 4.67/4.84 apply (zenon_L79_); trivial.
% 4.67/4.84 (* end of lemma zenon_L90_ *)
% 4.67/4.84 assert (zenon_L91_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H1d zenon_H1f zenon_H9d zenon_H82 zenon_H94 zenon_H95 zenon_Hd0 zenon_H4c zenon_H85 zenon_Hb4 zenon_H100 zenon_H7b zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H137 zenon_H5b zenon_Hac zenon_H37 zenon_H96 zenon_Ha9 zenon_Ha0 zenon_Ha4 zenon_Hb3 zenon_Hb9 zenon_H118 zenon_Haf zenon_H12e zenon_H1e zenon_H11f zenon_H76 zenon_H114 zenon_H21.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.67/4.84 exact (zenon_H1f zenon_H25).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.67/4.84 exact (zenon_H7c zenon_H7e).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.67/4.84 apply (zenon_L76_); trivial.
% 4.67/4.84 apply (zenon_L78_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.84 apply (zenon_L35_); trivial.
% 4.67/4.84 apply (zenon_L83_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.67/4.84 apply (zenon_L84_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.67/4.84 exact (zenon_H7c zenon_H7e).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.67/4.84 apply (zenon_L85_); trivial.
% 4.67/4.84 apply (zenon_L86_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.84 apply (zenon_L88_); trivial.
% 4.67/4.84 apply (zenon_L90_); trivial.
% 4.67/4.84 exact (zenon_H21 zenon_H26).
% 4.67/4.84 (* end of lemma zenon_L91_ *)
% 4.67/4.84 assert (zenon_L92_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H25 zenon_H9c zenon_Hb9.
% 4.67/4.84 elim (classic ((e1) = (e1))); [ zenon_intro zenon_Hba | zenon_intro zenon_H9b ].
% 4.67/4.84 cut (((e1) = (e1)) = ((e0) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hb9.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hba.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hbb.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H25.
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H13a zenon_H9c).
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L92_ *)
% 4.67/4.84 assert (zenon_L93_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H12e zenon_H9d zenon_H108 zenon_H87 zenon_H85 zenon_H76.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H8a | zenon_intro zenon_H12f ].
% 4.67/4.84 apply (zenon_L79_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H130 ].
% 4.67/4.84 apply (zenon_L81_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H81 | zenon_intro zenon_H79 ].
% 4.67/4.84 exact (zenon_H85 zenon_H81).
% 4.67/4.84 exact (zenon_H76 zenon_H79).
% 4.67/4.84 (* end of lemma zenon_L93_ *)
% 4.67/4.84 assert (zenon_L94_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H25 zenon_Hd1 zenon_H54.
% 4.67/4.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.84 cut (((e3) = (e3)) = ((e0) = (e3))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H54.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H55.
% 4.67/4.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.84 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H57.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H25.
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H13b zenon_Hd1).
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L94_ *)
% 4.67/4.84 assert (zenon_L95_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H87 zenon_H8c zenon_H13c.
% 4.67/4.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.84 cut (((e3) = (e3)) = ((e1) = (e3))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H13c.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H55.
% 4.67/4.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.84 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H13d.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H87.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_Hfb zenon_H8c).
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L95_ *)
% 4.67/4.84 assert (zenon_L96_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H118 zenon_H5b zenon_Hb9 zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H7b zenon_H100 zenon_Hb4 zenon_H4c zenon_Hd0 zenon_H95 zenon_H94 zenon_H13c zenon_Hfd zenon_H25 zenon_H54 zenon_H12e zenon_H85 zenon_H76 zenon_H103 zenon_H9d.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.84 apply (zenon_L92_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.84 apply (zenon_L88_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.67/4.84 apply (zenon_L89_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.67/4.84 apply (zenon_L93_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.67/4.84 apply (zenon_L94_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.67/4.84 apply (zenon_L62_); trivial.
% 4.67/4.84 apply (zenon_L95_); trivial.
% 4.67/4.84 apply (zenon_L79_); trivial.
% 4.67/4.84 (* end of lemma zenon_L96_ *)
% 4.67/4.84 assert (zenon_L97_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H13e zenon_Hf0 zenon_Hd5.
% 4.67/4.84 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H13e.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hf0.
% 4.67/4.84 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 4.67/4.84 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H45. apply refl_equal.
% 4.67/4.84 apply zenon_H13f. apply sym_equal. exact zenon_Hd5.
% 4.67/4.84 (* end of lemma zenon_L97_ *)
% 4.67/4.84 assert (zenon_L98_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_Hdf zenon_H9d zenon_H8a zenon_H135 zenon_Hf0 zenon_H13e zenon_H140.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H87 | zenon_intro zenon_He0 ].
% 4.67/4.84 apply (zenon_L79_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H71 | zenon_intro zenon_He1 ].
% 4.67/4.84 exact (zenon_H135 zenon_H71).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H72 ].
% 4.67/4.84 apply (zenon_L97_); trivial.
% 4.67/4.84 exact (zenon_H140 zenon_H72).
% 4.67/4.84 (* end of lemma zenon_L98_ *)
% 4.67/4.84 assert (zenon_L99_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H137 zenon_H5b zenon_H7c zenon_H140 zenon_H13e zenon_H135 zenon_Hdf zenon_H27 zenon_H94 zenon_Hd0 zenon_H4c zenon_H85 zenon_H100 zenon_Hb3 zenon_Hb4 zenon_H82 zenon_H34 zenon_H95 zenon_H9d.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.67/4.84 exact (zenon_H7c zenon_H7e).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.67/4.84 apply (zenon_L89_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.67/4.84 apply (zenon_L23_); trivial.
% 4.67/4.84 apply (zenon_L98_); trivial.
% 4.67/4.84 apply (zenon_L78_); trivial.
% 4.67/4.84 (* end of lemma zenon_L99_ *)
% 4.67/4.84 assert (zenon_L100_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H42 zenon_Hf0 zenon_Hb9.
% 4.67/4.84 elim (classic ((e1) = (e1))); [ zenon_intro zenon_Hba | zenon_intro zenon_H9b ].
% 4.67/4.84 cut (((e1) = (e1)) = ((e0) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hb9.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hba.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hbb.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H42.
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H141 zenon_Hf0).
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L100_ *)
% 4.67/4.84 assert (zenon_L101_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H75 zenon_H7a zenon_H70 zenon_H140 zenon_H76 zenon_H2c.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.67/4.84 apply (zenon_L16_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.67/4.84 exact (zenon_H140 zenon_H72).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.67/4.84 exact (zenon_H76 zenon_H79).
% 4.67/4.84 exact (zenon_H2c zenon_H31).
% 4.67/4.84 (* end of lemma zenon_L101_ *)
% 4.67/4.84 assert (zenon_L102_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H142 zenon_H80 zenon_H6d.
% 4.67/4.84 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H142.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H80.
% 4.67/4.84 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 4.67/4.84 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H143. apply refl_equal.
% 4.67/4.84 apply zenon_H6e. apply sym_equal. exact zenon_H6d.
% 4.67/4.84 (* end of lemma zenon_L102_ *)
% 4.67/4.84 assert (zenon_L103_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H75 zenon_H80 zenon_H142 zenon_H140 zenon_H76 zenon_H2c.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.67/4.84 apply (zenon_L102_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.67/4.84 exact (zenon_H140 zenon_H72).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.67/4.84 exact (zenon_H76 zenon_H79).
% 4.67/4.84 exact (zenon_H2c zenon_H31).
% 4.67/4.84 (* end of lemma zenon_L103_ *)
% 4.67/4.84 assert (zenon_L104_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H144 zenon_H6d.
% 4.67/4.84 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H145].
% 4.67/4.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 exact (zenon_H145 zenon_H6d).
% 4.67/4.84 (* end of lemma zenon_L104_ *)
% 4.67/4.84 assert (zenon_L105_ : (~((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e1) (e0)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H146 zenon_H6d zenon_H123.
% 4.67/4.84 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H145].
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H147.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H123.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H148.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H149.
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 4.67/4.84 congruence.
% 4.67/4.84 apply (zenon_L104_); trivial.
% 4.67/4.84 apply zenon_H14a. apply refl_equal.
% 4.67/4.84 apply zenon_H14a. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 exact (zenon_H145 zenon_H6d).
% 4.67/4.84 (* end of lemma zenon_L105_ *)
% 4.67/4.84 assert (zenon_L106_ : ((op (e1) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_Ha1 zenon_H123 zenon_H6d.
% 4.67/4.84 apply (zenon_notand_s _ _ ax12); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ].
% 4.67/4.84 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H14c.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H149.
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H147.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H123.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H148.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H149.
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.67/4.84 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 4.67/4.84 congruence.
% 4.67/4.84 apply (zenon_L104_); trivial.
% 4.67/4.84 apply zenon_H14a. apply refl_equal.
% 4.67/4.84 apply zenon_H14a. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H14a. apply refl_equal.
% 4.67/4.84 apply zenon_H14a. apply refl_equal.
% 4.67/4.84 apply (zenon_notand_s _ _ zenon_H14b); [ zenon_intro zenon_H6e | zenon_intro zenon_H14d ].
% 4.67/4.84 apply zenon_H6e. apply sym_equal. exact zenon_H6d.
% 4.67/4.84 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14e | zenon_intro zenon_H14f ].
% 4.67/4.84 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((e2) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H14d.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H14e.
% 4.67/4.84 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 4.67/4.84 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e0)) = (e2)) = ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e2))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H150.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Ha1.
% 4.67/4.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.84 cut (((op (e1) (e0)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14e | zenon_intro zenon_H14f ].
% 4.67/4.84 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((op (e1) (e0)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H151.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H14e.
% 4.67/4.84 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 4.67/4.84 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 4.67/4.84 congruence.
% 4.67/4.84 apply (zenon_L105_); trivial.
% 4.67/4.84 apply zenon_H14f. apply refl_equal.
% 4.67/4.84 apply zenon_H14f. apply refl_equal.
% 4.67/4.84 apply zenon_H5c. apply refl_equal.
% 4.67/4.84 apply zenon_H14f. apply refl_equal.
% 4.67/4.84 apply zenon_H14f. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L106_ *)
% 4.67/4.84 assert (zenon_L107_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H75 zenon_Hbd zenon_H113 zenon_H140 zenon_H76 zenon_H2c.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.67/4.84 apply (zenon_L68_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.67/4.84 exact (zenon_H140 zenon_H72).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.67/4.84 exact (zenon_H76 zenon_H79).
% 4.67/4.84 exact (zenon_H2c zenon_H31).
% 4.67/4.84 (* end of lemma zenon_L107_ *)
% 4.67/4.84 assert (zenon_L108_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H152 zenon_H1d zenon_H137 zenon_Hb3 zenon_H82 zenon_Hdf zenon_H140 zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H21 zenon_H113 zenon_H114 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H100 zenon_H12e zenon_H76 zenon_H9d zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H95 zenon_Hd0 zenon_H4c zenon_H94 zenon_Hb4 zenon_H118 zenon_H1e zenon_H11f zenon_H153.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.67/4.84 apply (zenon_L96_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.67/4.84 apply (zenon_L99_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.67/4.84 exact (zenon_H7c zenon_H7e).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.67/4.84 apply (zenon_L100_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H26 | zenon_intro zenon_H11a ].
% 4.67/4.84 exact (zenon_H21 zenon_H26).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H7a | zenon_intro zenon_H11b ].
% 4.67/4.84 apply (zenon_L101_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H80 | zenon_intro zenon_H6d ].
% 4.67/4.84 apply (zenon_L103_); trivial.
% 4.67/4.84 apply (zenon_L106_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.84 exact (zenon_H95 zenon_H98).
% 4.67/4.84 apply (zenon_L77_); trivial.
% 4.67/4.84 apply (zenon_L107_); trivial.
% 4.67/4.84 exact (zenon_H21 zenon_H26).
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 (* end of lemma zenon_L108_ *)
% 4.67/4.84 assert (zenon_L109_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H1d zenon_H21 zenon_H118 zenon_H11f zenon_H76 zenon_H12e zenon_Hb9 zenon_H7c zenon_Hb3 zenon_Haf zenon_H9d zenon_H37 zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H82 zenon_Hac zenon_Hb4 zenon_H95 zenon_H137 zenon_H5b zenon_H94 zenon_Hd0 zenon_H100 zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_H114 zenon_H1f zenon_H1e zenon_H152.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H96 | zenon_intro zenon_H140 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_L91_); trivial.
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 apply (zenon_L108_); trivial.
% 4.67/4.84 (* end of lemma zenon_L109_ *)
% 4.67/4.84 assert (zenon_L110_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H34 zenon_H7e zenon_Hb9.
% 4.67/4.84 elim (classic ((e1) = (e1))); [ zenon_intro zenon_Hba | zenon_intro zenon_H9b ].
% 4.67/4.84 cut (((e1) = (e1)) = ((e0) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hb9.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hba.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e0)) = (e0)) = ((e1) = (e0))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hbb.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H34.
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 cut (((op (e1) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H7c zenon_H7e).
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L110_ *)
% 4.67/4.84 assert (zenon_L111_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H142 zenon_Hd5 zenon_H72.
% 4.67/4.84 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H142.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hd5.
% 4.67/4.84 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 4.67/4.84 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H143. apply refl_equal.
% 4.67/4.84 apply zenon_H73. apply sym_equal. exact zenon_H72.
% 4.67/4.84 (* end of lemma zenon_L111_ *)
% 4.67/4.84 assert (zenon_L112_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H75 zenon_H145 zenon_Hd5 zenon_H142 zenon_H76 zenon_H2c.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.67/4.84 exact (zenon_H145 zenon_H6d).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.67/4.84 apply (zenon_L111_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.67/4.84 exact (zenon_H76 zenon_H79).
% 4.67/4.84 exact (zenon_H2c zenon_H31).
% 4.67/4.84 (* end of lemma zenon_L112_ *)
% 4.67/4.84 assert (zenon_L113_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H113 zenon_H123 zenon_H72.
% 4.67/4.84 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H113.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H123.
% 4.67/4.84 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 4.67/4.84 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_Hb2. apply refl_equal.
% 4.67/4.84 apply zenon_H73. apply sym_equal. exact zenon_H72.
% 4.67/4.84 (* end of lemma zenon_L113_ *)
% 4.67/4.84 assert (zenon_L114_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H9c zenon_Hd1 zenon_H13c.
% 4.67/4.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.84 cut (((e3) = (e3)) = ((e1) = (e3))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H13c.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H55.
% 4.67/4.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.84 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H13d.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H9c.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H13b zenon_Hd1).
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L114_ *)
% 4.67/4.84 assert (zenon_L115_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H8a zenon_H8c zenon_Hfd.
% 4.67/4.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.84 cut (((e3) = (e3)) = ((e2) = (e3))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hfd.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H55.
% 4.67/4.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.84 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hfe.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H8a.
% 4.67/4.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.84 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_Hfb zenon_H8c).
% 4.67/4.84 apply zenon_H5c. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L115_ *)
% 4.67/4.84 assert (zenon_L116_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H100 zenon_Hb4 zenon_H82 zenon_H103 zenon_H123 zenon_H113 zenon_H75 zenon_H145 zenon_H142 zenon_H76 zenon_H2c zenon_H135 zenon_H12e zenon_H9d zenon_H85 zenon_Hdf zenon_H13c zenon_H9c zenon_H54 zenon_H27 zenon_Hfd.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.67/4.84 apply (zenon_L26_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.67/4.84 apply (zenon_L23_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H87 | zenon_intro zenon_He0 ].
% 4.67/4.84 apply (zenon_L93_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H71 | zenon_intro zenon_He1 ].
% 4.67/4.84 exact (zenon_H135 zenon_H71).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H72 ].
% 4.67/4.84 apply (zenon_L112_); trivial.
% 4.67/4.84 apply (zenon_L113_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.67/4.84 apply (zenon_L114_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.67/4.84 apply (zenon_L53_); trivial.
% 4.67/4.84 apply (zenon_L115_); trivial.
% 4.67/4.84 (* end of lemma zenon_L116_ *)
% 4.67/4.84 assert (zenon_L117_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H132 zenon_H27 zenon_He5.
% 4.67/4.84 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H132.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H27.
% 4.67/4.84 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H155].
% 4.67/4.84 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H134. apply refl_equal.
% 4.67/4.84 apply zenon_H155. apply sym_equal. exact zenon_He5.
% 4.67/4.84 (* end of lemma zenon_L117_ *)
% 4.67/4.84 assert (zenon_L118_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H7e zenon_Ha1 zenon_H9d.
% 4.67/4.84 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.67/4.84 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H9d.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H83.
% 4.67/4.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.84 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H9e.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H7e.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_Hec zenon_Ha1).
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H5c. apply refl_equal.
% 4.67/4.84 apply zenon_H5c. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L118_ *)
% 4.67/4.84 assert (zenon_L119_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H7e zenon_H156 zenon_H13c.
% 4.67/4.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.84 cut (((e3) = (e3)) = ((e1) = (e3))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H13c.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H55.
% 4.67/4.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.84 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H13d.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H7e.
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H157 zenon_H156).
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L119_ *)
% 4.67/4.84 assert (zenon_L120_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H158 zenon_H3f.
% 4.67/4.84 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 4.67/4.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H9b. apply refl_equal.
% 4.67/4.84 exact (zenon_H38 zenon_H3f).
% 4.67/4.84 (* end of lemma zenon_L120_ *)
% 4.67/4.84 assert (zenon_L121_ : ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H8a zenon_H7a zenon_H3f.
% 4.67/4.84 apply (zenon_notand_s _ _ ax11); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 4.67/4.84 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H15a.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hc6.
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H15b.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H7a.
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H15c.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hc6.
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 4.67/4.84 congruence.
% 4.67/4.84 apply (zenon_L120_); trivial.
% 4.67/4.84 apply zenon_Hc7. apply refl_equal.
% 4.67/4.84 apply zenon_Hc7. apply refl_equal.
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 apply zenon_Hc7. apply refl_equal.
% 4.67/4.84 apply zenon_Hc7. apply refl_equal.
% 4.67/4.84 apply (zenon_notand_s _ _ zenon_H159); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ].
% 4.67/4.84 apply zenon_H15e. apply sym_equal. exact zenon_H3f.
% 4.67/4.84 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hcc ].
% 4.67/4.84 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((e2) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H15d.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hcb.
% 4.67/4.84 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 4.67/4.84 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e0) (e3)) = (e2)) = ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e2))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H15f.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H8a.
% 4.67/4.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.84 cut (((op (e0) (e3)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H160].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hcc ].
% 4.67/4.84 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((op (e0) (e3)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H160.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hcb.
% 4.67/4.84 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 4.67/4.84 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H161].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H15b.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H7a.
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 4.67/4.84 congruence.
% 4.67/4.84 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H15c.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Hc6.
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.67/4.84 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 4.67/4.84 congruence.
% 4.67/4.84 apply (zenon_L120_); trivial.
% 4.67/4.84 apply zenon_Hc7. apply refl_equal.
% 4.67/4.84 apply zenon_Hc7. apply refl_equal.
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 exact (zenon_H38 zenon_H3f).
% 4.67/4.84 apply zenon_Hcc. apply refl_equal.
% 4.67/4.84 apply zenon_Hcc. apply refl_equal.
% 4.67/4.84 apply zenon_H5c. apply refl_equal.
% 4.67/4.84 apply zenon_Hcc. apply refl_equal.
% 4.67/4.84 apply zenon_Hcc. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L121_ *)
% 4.67/4.84 assert (zenon_L122_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_Ha2 zenon_H162 zenon_Hfd.
% 4.67/4.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.84 cut (((e3) = (e3)) = ((e2) = (e3))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hfd.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H55.
% 4.67/4.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.84 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e2)) = (e2)) = ((e3) = (e2))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hfe.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_Ha2.
% 4.67/4.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.67/4.84 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H163 zenon_H162).
% 4.67/4.84 apply zenon_H5c. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L122_ *)
% 4.67/4.84 assert (zenon_L123_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H7a zenon_Hdb zenon_H54.
% 4.67/4.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.67/4.84 cut (((e3) = (e3)) = ((e0) = (e3))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H54.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H55.
% 4.67/4.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.67/4.84 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 4.67/4.84 congruence.
% 4.67/4.84 cut (((op (e1) (e3)) = (e0)) = ((e3) = (e0))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H57.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H7a.
% 4.67/4.84 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.67/4.84 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 4.67/4.84 congruence.
% 4.67/4.84 exact (zenon_H164 zenon_Hdb).
% 4.67/4.84 apply zenon_H52. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 apply zenon_H56. apply refl_equal.
% 4.67/4.84 (* end of lemma zenon_L123_ *)
% 4.67/4.84 assert (zenon_L124_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H86 zenon_H8a zenon_Hd8.
% 4.67/4.84 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_H86.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H8a.
% 4.67/4.84 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 4.67/4.84 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_H6f. apply refl_equal.
% 4.67/4.84 apply zenon_Hd9. apply sym_equal. exact zenon_Hd8.
% 4.67/4.84 (* end of lemma zenon_L124_ *)
% 4.67/4.84 assert (zenon_L125_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_He9 zenon_Hbe zenon_Hbd zenon_Hc3 zenon_H27 zenon_H132 zenon_H165 zenon_H9d zenon_H37 zenon_H54 zenon_Hfd zenon_H7e zenon_H13c zenon_H166 zenon_H86 zenon_H8a.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.67/4.84 apply (zenon_L36_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.67/4.84 exact (zenon_Hc3 zenon_H3a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.67/4.84 apply (zenon_L117_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H167 ].
% 4.67/4.84 apply (zenon_L118_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H40 | zenon_intro zenon_H168 ].
% 4.67/4.84 exact (zenon_H37 zenon_H40).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hd8 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H156 | zenon_intro zenon_H169 ].
% 4.67/4.84 apply (zenon_L119_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H3f | zenon_intro zenon_H16a ].
% 4.67/4.84 apply (zenon_L121_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H162 | zenon_intro zenon_Hdb ].
% 4.67/4.84 apply (zenon_L122_); trivial.
% 4.67/4.84 apply (zenon_L123_); trivial.
% 4.67/4.84 apply (zenon_L124_); trivial.
% 4.67/4.84 (* end of lemma zenon_L125_ *)
% 4.67/4.84 assert (zenon_L126_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H100 zenon_Hb4 zenon_H9c zenon_H82 zenon_He9 zenon_Hbe zenon_Hbd zenon_Hc3 zenon_H27 zenon_H132 zenon_H165 zenon_H9d zenon_H37 zenon_H54 zenon_Hfd zenon_H7e zenon_H13c zenon_H166 zenon_H86.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.67/4.84 apply (zenon_L26_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.67/4.84 apply (zenon_L23_); trivial.
% 4.67/4.84 apply (zenon_L125_); trivial.
% 4.67/4.84 (* end of lemma zenon_L126_ *)
% 4.67/4.84 assert (zenon_L127_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 4.67/4.84 do 0 intro. intros zenon_Hd0 zenon_H9c zenon_Hf1.
% 4.67/4.84 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 4.67/4.84 intro zenon_D_pnotp.
% 4.67/4.84 apply zenon_Hd0.
% 4.67/4.84 rewrite <- zenon_D_pnotp.
% 4.67/4.84 exact zenon_H9c.
% 4.67/4.84 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 4.67/4.84 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 4.67/4.84 congruence.
% 4.67/4.84 apply zenon_Hd3. apply refl_equal.
% 4.67/4.84 apply zenon_Hf2. apply sym_equal. exact zenon_Hf1.
% 4.67/4.84 (* end of lemma zenon_L127_ *)
% 4.67/4.84 assert (zenon_L128_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H16b zenon_H9d zenon_H98 zenon_H9c zenon_Hd0 zenon_H16c zenon_H75 zenon_H145 zenon_H142 zenon_H76 zenon_H2c.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H16d ].
% 4.67/4.84 apply (zenon_L75_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H16e ].
% 4.67/4.84 apply (zenon_L127_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H48 | zenon_intro zenon_Hd5 ].
% 4.67/4.84 exact (zenon_H16c zenon_H48).
% 4.67/4.84 apply (zenon_L112_); trivial.
% 4.67/4.84 (* end of lemma zenon_L128_ *)
% 4.67/4.84 assert (zenon_L129_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H153 zenon_H1e zenon_H1f zenon_H114 zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H5b zenon_Hb3 zenon_H37 zenon_H96 zenon_Haf zenon_Hac zenon_H9d zenon_Hd0 zenon_H16c zenon_H75 zenon_H76 zenon_H142 zenon_H145 zenon_H16b zenon_H82 zenon_Hb4 zenon_Hb9 zenon_H12e zenon_H85 zenon_H11f zenon_H118 zenon_H21 zenon_H1d.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.67/4.84 exact (zenon_H1f zenon_H25).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.84 apply (zenon_L52_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.84 apply (zenon_L128_); trivial.
% 4.67/4.84 apply (zenon_L33_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.84 apply (zenon_L35_); trivial.
% 4.67/4.84 apply (zenon_L83_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.67/4.84 apply (zenon_L84_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.67/4.84 exact (zenon_Hb4 zenon_Hb6).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.67/4.84 apply (zenon_L30_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.67/4.84 apply (zenon_L128_); trivial.
% 4.67/4.84 apply (zenon_L61_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.84 apply (zenon_L35_); trivial.
% 4.67/4.84 apply (zenon_L83_); trivial.
% 4.67/4.84 exact (zenon_H21 zenon_H26).
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 (* end of lemma zenon_L129_ *)
% 4.67/4.84 assert (zenon_L130_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H153 zenon_H1e zenon_H5b zenon_Hb4 zenon_H11f zenon_H145 zenon_H140 zenon_H76 zenon_H75.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.67/4.84 exact (zenon_H145 zenon_H6d).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.67/4.84 exact (zenon_H140 zenon_H72).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.67/4.84 exact (zenon_H76 zenon_H79).
% 4.67/4.84 exact (zenon_H2c zenon_H31).
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 (* end of lemma zenon_L130_ *)
% 4.67/4.84 assert (zenon_L131_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H154 zenon_H153 zenon_H1e zenon_H1f zenon_H114 zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H5b zenon_Hb3 zenon_H37 zenon_Haf zenon_Hac zenon_H9d zenon_Hd0 zenon_H16c zenon_H75 zenon_H76 zenon_H142 zenon_H145 zenon_H16b zenon_H82 zenon_Hb4 zenon_Hb9 zenon_H12e zenon_H11f zenon_H118 zenon_H21 zenon_H1d zenon_H152.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H96 | zenon_intro zenon_H140 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_L129_); trivial.
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 apply (zenon_L130_); trivial.
% 4.67/4.84 (* end of lemma zenon_L131_ *)
% 4.67/4.84 assert (zenon_L132_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H16f zenon_H16b zenon_Hd0 zenon_H154 zenon_H153 zenon_H1e zenon_H1f zenon_H114 zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_H132 zenon_Hc3 zenon_Hbe zenon_H5b zenon_H137 zenon_H103 zenon_Hfd zenon_H54 zenon_H13c zenon_H12e zenon_H76 zenon_H135 zenon_H75 zenon_H142 zenon_H145 zenon_H113 zenon_Hdf zenon_H100 zenon_Hb4 zenon_Hac zenon_H82 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha9 zenon_H37 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H11f zenon_H118 zenon_H21 zenon_H1d zenon_H152.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H96 | zenon_intro zenon_H16c ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.67/4.84 exact (zenon_H1f zenon_H25).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.67/4.84 exact (zenon_H1e zenon_H23).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.67/4.84 apply (zenon_L110_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.67/4.84 apply (zenon_L76_); trivial.
% 4.67/4.84 apply (zenon_L116_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.84 apply (zenon_L35_); trivial.
% 4.67/4.84 apply (zenon_L83_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.67/4.84 apply (zenon_L84_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.67/4.84 exact (zenon_H5b zenon_H5a).
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.67/4.84 apply (zenon_L126_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.67/4.84 apply (zenon_L76_); trivial.
% 4.67/4.84 apply (zenon_L86_); trivial.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.67/4.84 apply (zenon_L35_); trivial.
% 4.67/4.84 apply (zenon_L83_); trivial.
% 4.67/4.84 exact (zenon_H21 zenon_H26).
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 apply (zenon_L131_); trivial.
% 4.67/4.84 (* end of lemma zenon_L132_ *)
% 4.67/4.84 assert (zenon_L133_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H170 zenon_Hbe zenon_Hc3 zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H152 zenon_H1e zenon_H1f zenon_H114 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H100 zenon_Hd0 zenon_H94 zenon_H5b zenon_H137 zenon_Hb4 zenon_Hac zenon_H82 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha9 zenon_H37 zenon_H9d zenon_Haf zenon_Hb3 zenon_H7c zenon_Hb9 zenon_H12e zenon_H76 zenon_H11f zenon_H118 zenon_H21 zenon_H1d zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.67/4.84 apply (zenon_L109_); trivial.
% 4.67/4.84 apply (zenon_L132_); trivial.
% 4.67/4.84 (* end of lemma zenon_L133_ *)
% 4.67/4.84 assert (zenon_L134_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.67/4.84 do 0 intro. intros zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H1d zenon_H21 zenon_H118 zenon_H11f zenon_H76 zenon_H12e zenon_Hb9 zenon_H7c zenon_Hb3 zenon_Haf zenon_H9d zenon_H37 zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H82 zenon_Hac zenon_Hb4 zenon_H137 zenon_H5b zenon_H94 zenon_Hd0 zenon_H100 zenon_H36 zenon_H132 zenon_H7b zenon_H114 zenon_H1f zenon_H1e zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172.
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.67/4.84 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.67/4.84 apply (zenon_L109_); trivial.
% 4.67/4.84 apply (zenon_L133_); trivial.
% 4.67/4.84 apply (zenon_L73_); trivial.
% 4.67/4.84 (* end of lemma zenon_L134_ *)
% 4.67/4.84 assert (zenon_L135_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H171 zenon_H152 zenon_H1d zenon_H21 zenon_H118 zenon_H11f zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_H37 zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H82 zenon_Hac zenon_Hb4 zenon_H100 zenon_Hdf zenon_H113 zenon_H145 zenon_H142 zenon_H75 zenon_H76 zenon_H12e zenon_H13c zenon_H54 zenon_Hfd zenon_H103 zenon_H137 zenon_H5b zenon_Hbe zenon_Hc3 zenon_H132 zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H114 zenon_H1f zenon_H1e zenon_H153 zenon_H154 zenon_Hd0 zenon_H16b zenon_H16f.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.85 apply (zenon_L132_); trivial.
% 4.69/4.85 apply (zenon_L73_); trivial.
% 4.69/4.85 (* end of lemma zenon_L135_ *)
% 4.69/4.85 assert (zenon_L136_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H173 zenon_H170 zenon_Hbe zenon_Hc3 zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H152 zenon_H1e zenon_H1f zenon_H114 zenon_H7b zenon_H132 zenon_H36 zenon_H100 zenon_Hd0 zenon_H94 zenon_H5b zenon_H137 zenon_Hb4 zenon_Hac zenon_H82 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha9 zenon_H37 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H76 zenon_H11f zenon_H118 zenon_H21 zenon_H1d zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.85 apply (zenon_L133_); trivial.
% 4.69/4.85 apply (zenon_L73_); trivial.
% 4.69/4.85 apply (zenon_L135_); trivial.
% 4.69/4.85 (* end of lemma zenon_L136_ *)
% 4.69/4.85 assert (zenon_L137_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H122 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H1d zenon_H118 zenon_H11f zenon_H76 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_H37 zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H82 zenon_Hac zenon_Hb4 zenon_H137 zenon_H5b zenon_H94 zenon_Hd0 zenon_H100 zenon_H36 zenon_H132 zenon_H7b zenon_H114 zenon_H1f zenon_H1e zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.69/4.85 apply (zenon_L134_); trivial.
% 4.69/4.85 apply (zenon_L136_); trivial.
% 4.69/4.85 apply (zenon_L73_); trivial.
% 4.69/4.85 (* end of lemma zenon_L137_ *)
% 4.69/4.85 assert (zenon_L138_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H36 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H1d zenon_H1f zenon_H1e zenon_H11f zenon_Hb4 zenon_H5b zenon_H122.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H20 | zenon_intro zenon_H37 ].
% 4.69/4.85 apply (zenon_L74_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H20 | zenon_intro zenon_H4c ].
% 4.69/4.85 apply (zenon_L74_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H20 | zenon_intro zenon_H76 ].
% 4.69/4.85 apply (zenon_L74_); trivial.
% 4.69/4.85 apply (zenon_L137_); trivial.
% 4.69/4.85 (* end of lemma zenon_L138_ *)
% 4.69/4.85 assert (zenon_L139_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H178 zenon_H43.
% 4.69/4.85 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 4.69/4.85 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.85 congruence.
% 4.69/4.85 apply zenon_H5c. apply refl_equal.
% 4.69/4.85 exact (zenon_H179 zenon_H43).
% 4.69/4.85 (* end of lemma zenon_L139_ *)
% 4.69/4.85 assert (zenon_L140_ : (~((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (e1) (e0)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H17a zenon_H43 zenon_Hf0.
% 4.69/4.85 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H17b.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hf0.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17c].
% 4.69/4.85 congruence.
% 4.69/4.85 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H17c.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H17d.
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 4.69/4.85 congruence.
% 4.69/4.85 apply (zenon_L139_); trivial.
% 4.69/4.85 apply zenon_H17e. apply refl_equal.
% 4.69/4.85 apply zenon_H17e. apply refl_equal.
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 exact (zenon_H179 zenon_H43).
% 4.69/4.85 (* end of lemma zenon_L140_ *)
% 4.69/4.85 assert (zenon_L141_ : ((op (e1) (e0)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H156 zenon_Hf0 zenon_H43.
% 4.69/4.85 apply (zenon_notand_s _ _ ax13); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ].
% 4.69/4.85 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e1) = (op (e2) (op (e2) (e2))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H180.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H17d.
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H17b.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hf0.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17c].
% 4.69/4.85 congruence.
% 4.69/4.85 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H17c.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H17d.
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.85 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 4.69/4.85 congruence.
% 4.69/4.85 apply (zenon_L139_); trivial.
% 4.69/4.85 apply zenon_H17e. apply refl_equal.
% 4.69/4.85 apply zenon_H17e. apply refl_equal.
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 apply zenon_H17e. apply refl_equal.
% 4.69/4.85 apply zenon_H17e. apply refl_equal.
% 4.69/4.85 apply (zenon_notand_s _ _ zenon_H17f); [ zenon_intro zenon_H44 | zenon_intro zenon_H181 ].
% 4.69/4.85 apply zenon_H44. apply sym_equal. exact zenon_H43.
% 4.69/4.85 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 4.69/4.85 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((e3) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H181.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H182.
% 4.69/4.85 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 4.69/4.85 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e1) (e0)) = (e3)) = ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e3))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H184.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H156.
% 4.69/4.85 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.85 cut (((op (e1) (e0)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 4.69/4.85 congruence.
% 4.69/4.85 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 4.69/4.85 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((op (e1) (e0)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H185.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H182.
% 4.69/4.85 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 4.69/4.85 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 4.69/4.85 congruence.
% 4.69/4.85 apply (zenon_L140_); trivial.
% 4.69/4.85 apply zenon_H183. apply refl_equal.
% 4.69/4.85 apply zenon_H183. apply refl_equal.
% 4.69/4.85 apply zenon_H56. apply refl_equal.
% 4.69/4.85 apply zenon_H183. apply refl_equal.
% 4.69/4.85 apply zenon_H183. apply refl_equal.
% 4.69/4.85 (* end of lemma zenon_L141_ *)
% 4.69/4.85 assert (zenon_L142_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_Hf0 zenon_H53 zenon_H13c.
% 4.69/4.85 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.69/4.85 cut (((e3) = (e3)) = ((e1) = (e3))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H13c.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H55.
% 4.69/4.85 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.85 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H13d.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hf0.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 4.69/4.85 congruence.
% 4.69/4.85 exact (zenon_H58 zenon_H53).
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 apply zenon_H56. apply refl_equal.
% 4.69/4.85 apply zenon_H56. apply refl_equal.
% 4.69/4.85 (* end of lemma zenon_L142_ *)
% 4.69/4.85 assert (zenon_L143_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H186 zenon_H104 zenon_H4d zenon_H4c zenon_H16c zenon_H4b zenon_H13c zenon_Hf0 zenon_H29.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H108 | zenon_intro zenon_H187 ].
% 4.69/4.85 exact (zenon_H104 zenon_H108).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H156 | zenon_intro zenon_H188 ].
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H43 | zenon_intro zenon_H4e ].
% 4.69/4.85 apply (zenon_L141_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H48 | zenon_intro zenon_H4f ].
% 4.69/4.85 exact (zenon_H16c zenon_H48).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 4.69/4.85 exact (zenon_H4c zenon_H51).
% 4.69/4.85 exact (zenon_H4d zenon_H50).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H53 | zenon_intro zenon_H2e ].
% 4.69/4.85 apply (zenon_L142_); trivial.
% 4.69/4.85 exact (zenon_H29 zenon_H2e).
% 4.69/4.85 (* end of lemma zenon_L143_ *)
% 4.69/4.85 assert (zenon_L144_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_Hb8 zenon_Hed zenon_H13c.
% 4.69/4.85 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.69/4.85 cut (((e3) = (e3)) = ((e1) = (e3))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H13c.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H55.
% 4.69/4.85 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.85 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H13d.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hb8.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 4.69/4.85 congruence.
% 4.69/4.85 exact (zenon_Hee zenon_Hed).
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 apply zenon_H56. apply refl_equal.
% 4.69/4.85 apply zenon_H56. apply refl_equal.
% 4.69/4.85 (* end of lemma zenon_L144_ *)
% 4.69/4.85 assert (zenon_L145_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H189 zenon_Hb6.
% 4.69/4.85 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 4.69/4.85 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.85 congruence.
% 4.69/4.85 apply zenon_H52. apply refl_equal.
% 4.69/4.85 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.85 (* end of lemma zenon_L145_ *)
% 4.69/4.85 assert (zenon_L146_ : ((op (e1) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H162 zenon_Hb8 zenon_Hb6.
% 4.69/4.85 apply (zenon_notand_s _ _ ax15); [ zenon_intro zenon_H126 | zenon_intro zenon_H18a ].
% 4.69/4.85 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H126.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H61.
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H127.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hb8.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 4.69/4.85 congruence.
% 4.69/4.85 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H18b.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H61.
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 4.69/4.85 congruence.
% 4.69/4.85 apply (zenon_L145_); trivial.
% 4.69/4.85 apply zenon_H62. apply refl_equal.
% 4.69/4.85 apply zenon_H62. apply refl_equal.
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 apply zenon_H62. apply refl_equal.
% 4.69/4.85 apply zenon_H62. apply refl_equal.
% 4.69/4.85 apply (zenon_notand_s _ _ zenon_H18a); [ zenon_intro zenon_H18c | zenon_intro zenon_H65 ].
% 4.69/4.85 apply zenon_H18c. apply sym_equal. exact zenon_Hb6.
% 4.69/4.85 elim (classic ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 4.69/4.85 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0)))) = ((e3) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H65.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H67.
% 4.69/4.85 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 4.69/4.85 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e1) (e2)) = (e3)) = ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (e3))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H69.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H162.
% 4.69/4.85 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.85 cut (((op (e1) (e2)) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H18d].
% 4.69/4.85 congruence.
% 4.69/4.85 elim (classic ((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 4.69/4.85 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0)))) = ((op (e1) (e2)) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H18d.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H67.
% 4.69/4.85 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (op (e0) (op (e0) (e0))) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 4.69/4.85 cut (((op (op (e0) (op (e0) (e0))) (op (e0) (e0))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H18e].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H127.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hb8.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 4.69/4.85 congruence.
% 4.69/4.85 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H18b.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H61.
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 4.69/4.85 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 4.69/4.85 congruence.
% 4.69/4.85 apply (zenon_L145_); trivial.
% 4.69/4.85 apply zenon_H62. apply refl_equal.
% 4.69/4.85 apply zenon_H62. apply refl_equal.
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.85 apply zenon_H68. apply refl_equal.
% 4.69/4.85 apply zenon_H68. apply refl_equal.
% 4.69/4.85 apply zenon_H56. apply refl_equal.
% 4.69/4.85 apply zenon_H68. apply refl_equal.
% 4.69/4.85 apply zenon_H68. apply refl_equal.
% 4.69/4.85 (* end of lemma zenon_L146_ *)
% 4.69/4.85 assert (zenon_L147_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H18f zenon_H13c zenon_Hb6 zenon_Hb8 zenon_H4d zenon_H2b.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Hed | zenon_intro zenon_H190 ].
% 4.69/4.85 apply (zenon_L144_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H162 | zenon_intro zenon_H191 ].
% 4.69/4.85 apply (zenon_L146_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H50 | zenon_intro zenon_H32 ].
% 4.69/4.85 exact (zenon_H4d zenon_H50).
% 4.69/4.85 exact (zenon_H2b zenon_H32).
% 4.69/4.85 (* end of lemma zenon_L147_ *)
% 4.69/4.85 assert (zenon_L148_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H25 zenon_H5e zenon_H82.
% 4.69/4.85 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.69/4.85 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H82.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H83.
% 4.69/4.85 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.85 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H84.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H25.
% 4.69/4.85 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.85 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 4.69/4.85 congruence.
% 4.69/4.85 exact (zenon_H9f zenon_H5e).
% 4.69/4.85 apply zenon_H52. apply refl_equal.
% 4.69/4.85 apply zenon_H5c. apply refl_equal.
% 4.69/4.85 apply zenon_H5c. apply refl_equal.
% 4.69/4.85 (* end of lemma zenon_L148_ *)
% 4.69/4.85 assert (zenon_L149_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_Hb8 zenon_H92 zenon_H9d.
% 4.69/4.85 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.69/4.85 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H9d.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H83.
% 4.69/4.85 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.85 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e0) (e2)) = (e1)) = ((e2) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H9e.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hb8.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 4.69/4.85 congruence.
% 4.69/4.85 exact (zenon_H93 zenon_H92).
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 apply zenon_H5c. apply refl_equal.
% 4.69/4.85 apply zenon_H5c. apply refl_equal.
% 4.69/4.85 (* end of lemma zenon_L149_ *)
% 4.69/4.85 assert (zenon_L150_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 4.69/4.85 do 0 intro. intros zenon_Hf6 zenon_H123 zenon_H192.
% 4.69/4.85 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_Hf6.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H123.
% 4.69/4.85 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 4.69/4.85 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.69/4.85 congruence.
% 4.69/4.85 apply zenon_Hb2. apply refl_equal.
% 4.69/4.85 apply zenon_H193. apply sym_equal. exact zenon_H192.
% 4.69/4.85 (* end of lemma zenon_L150_ *)
% 4.69/4.85 assert (zenon_L151_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H194 zenon_H13c zenon_Hed zenon_H195 zenon_H16c zenon_Hf6 zenon_H123.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H196 ].
% 4.69/4.85 apply (zenon_L144_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H47 | zenon_intro zenon_H197 ].
% 4.69/4.85 exact (zenon_H195 zenon_H47).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H48 | zenon_intro zenon_H192 ].
% 4.69/4.85 exact (zenon_H16c zenon_H48).
% 4.69/4.85 apply (zenon_L150_); trivial.
% 4.69/4.85 (* end of lemma zenon_L151_ *)
% 4.69/4.85 assert (zenon_L152_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H103 zenon_H104 zenon_H54 zenon_H25 zenon_H123 zenon_Hf6 zenon_H16c zenon_H195 zenon_H13c zenon_H194 zenon_H8a zenon_Hfd.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.85 exact (zenon_H104 zenon_H108).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.85 apply (zenon_L94_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.85 apply (zenon_L151_); trivial.
% 4.69/4.85 apply (zenon_L115_); trivial.
% 4.69/4.85 (* end of lemma zenon_L152_ *)
% 4.69/4.85 assert (zenon_L153_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_Hfa zenon_H30 zenon_H13c.
% 4.69/4.85 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.69/4.85 cut (((e3) = (e3)) = ((e1) = (e3))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H13c.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H55.
% 4.69/4.85 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.85 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e3) (e1)) = (e1)) = ((e3) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H13d.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hfa.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e3) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 4.69/4.85 congruence.
% 4.69/4.85 exact (zenon_H2a zenon_H30).
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 apply zenon_H56. apply refl_equal.
% 4.69/4.85 apply zenon_H56. apply refl_equal.
% 4.69/4.85 (* end of lemma zenon_L153_ *)
% 4.69/4.85 assert (zenon_L154_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H101 zenon_Hb9 zenon_H25 zenon_H36 zenon_Hf0 zenon_Hef zenon_H28 zenon_H29 zenon_H13c zenon_H2b zenon_H2c.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H9c | zenon_intro zenon_H10a ].
% 4.69/4.85 apply (zenon_L92_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H3e | zenon_intro zenon_H10b ].
% 4.69/4.85 exact (zenon_H36 zenon_H3e).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hfa ].
% 4.69/4.85 apply (zenon_L54_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 4.69/4.85 exact (zenon_H29 zenon_H2e).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 4.69/4.85 apply (zenon_L153_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 4.69/4.85 exact (zenon_H2b zenon_H32).
% 4.69/4.85 exact (zenon_H2c zenon_H31).
% 4.69/4.85 (* end of lemma zenon_L154_ *)
% 4.69/4.85 assert (zenon_L155_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H28 zenon_H29 zenon_Hd1 zenon_H198 zenon_H2b zenon_H2c.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 4.69/4.85 exact (zenon_H29 zenon_H2e).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 4.69/4.85 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H198.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_Hd1.
% 4.69/4.85 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 4.69/4.85 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 4.69/4.85 congruence.
% 4.69/4.85 apply zenon_Hd3. apply refl_equal.
% 4.69/4.85 apply zenon_H199. apply sym_equal. exact zenon_H30.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 4.69/4.85 exact (zenon_H2b zenon_H32).
% 4.69/4.85 exact (zenon_H2c zenon_H31).
% 4.69/4.85 (* end of lemma zenon_L155_ *)
% 4.69/4.85 assert (zenon_L156_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H103 zenon_H104 zenon_H2c zenon_H2b zenon_H198 zenon_H29 zenon_H28 zenon_H123 zenon_Hf6 zenon_H16c zenon_H195 zenon_H194 zenon_H87 zenon_H13c.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.85 exact (zenon_H104 zenon_H108).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.85 apply (zenon_L155_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.85 apply (zenon_L151_); trivial.
% 4.69/4.85 apply (zenon_L95_); trivial.
% 4.69/4.85 (* end of lemma zenon_L156_ *)
% 4.69/4.85 assert (zenon_L157_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H137 zenon_H5b zenon_H7c zenon_Hef zenon_H36 zenon_H25 zenon_Hb9 zenon_H101 zenon_H103 zenon_H104 zenon_H2c zenon_H2b zenon_H198 zenon_H29 zenon_H28 zenon_Hf6 zenon_H16c zenon_H195 zenon_H194 zenon_H87 zenon_H13c.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.85 exact (zenon_H5b zenon_H5a).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.85 exact (zenon_H7c zenon_H7e).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.85 apply (zenon_L154_); trivial.
% 4.69/4.85 apply (zenon_L156_); trivial.
% 4.69/4.85 (* end of lemma zenon_L157_ *)
% 4.69/4.85 assert (zenon_L158_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H103 zenon_H104 zenon_H2c zenon_H2b zenon_H198 zenon_H29 zenon_H28 zenon_H123 zenon_Hf6 zenon_H16c zenon_H195 zenon_H13c zenon_H194 zenon_H26 zenon_H54.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.85 exact (zenon_H104 zenon_H108).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.85 apply (zenon_L155_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.85 apply (zenon_L151_); trivial.
% 4.69/4.85 apply (zenon_L60_); trivial.
% 4.69/4.85 (* end of lemma zenon_L158_ *)
% 4.69/4.85 assert (zenon_L159_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H1d zenon_H1e zenon_H101 zenon_Hb9 zenon_H36 zenon_Hef zenon_H100 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H118 zenon_H20 zenon_H137 zenon_H5b zenon_H7c zenon_H4b zenon_H4c zenon_H4d zenon_H186 zenon_H103 zenon_H104 zenon_H2c zenon_H2b zenon_H198 zenon_H29 zenon_H28 zenon_Hf6 zenon_H16c zenon_H195 zenon_H13c zenon_H194 zenon_H54.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.85 exact (zenon_H1e zenon_H23).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.85 exact (zenon_H5b zenon_H5a).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.85 apply (zenon_L92_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.85 exact (zenon_H5b zenon_H5a).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.85 exact (zenon_H7c zenon_H7e).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.85 apply (zenon_L143_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.85 apply (zenon_L147_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.85 apply (zenon_L148_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.85 apply (zenon_L149_); trivial.
% 4.69/4.85 apply (zenon_L152_); trivial.
% 4.69/4.85 apply (zenon_L157_); trivial.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.85 exact (zenon_H20 zenon_H27).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.85 exact (zenon_H5b zenon_H5a).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.85 exact (zenon_H7c zenon_H7e).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.85 apply (zenon_L143_); trivial.
% 4.69/4.85 apply (zenon_L158_); trivial.
% 4.69/4.85 (* end of lemma zenon_L159_ *)
% 4.69/4.85 assert (zenon_L160_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H19a zenon_H11f zenon_H1e zenon_H118 zenon_H101 zenon_H2c zenon_H28 zenon_Hef zenon_H36 zenon_H198 zenon_H7c zenon_H186 zenon_H29 zenon_H13c zenon_H16c zenon_H4c zenon_H4d zenon_H4b zenon_H104 zenon_H100 zenon_H54 zenon_H194 zenon_Hf6 zenon_H195 zenon_Hfd zenon_H103 zenon_H9d zenon_H82 zenon_H18f zenon_H137 zenon_Hb9 zenon_H5b zenon_H20 zenon_H1d.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.85 apply (zenon_L159_); trivial.
% 4.69/4.85 apply (zenon_L73_); trivial.
% 4.69/4.85 (* end of lemma zenon_L160_ *)
% 4.69/4.85 assert (zenon_L161_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H19b zenon_H20 zenon_H18f zenon_H195 zenon_Hf6 zenon_H194 zenon_H104 zenon_H4b zenon_H4d zenon_H4c zenon_H186 zenon_H7c zenon_H198 zenon_Hef zenon_H101 zenon_H28 zenon_H2c zenon_H29 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H36 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H1d zenon_H1f zenon_H1e zenon_H11f zenon_H5b zenon_H122 zenon_H19a.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H2a | zenon_intro zenon_H16c ].
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.85 apply (zenon_L2_); trivial.
% 4.69/4.85 apply (zenon_L138_); trivial.
% 4.69/4.85 apply (zenon_L160_); trivial.
% 4.69/4.85 (* end of lemma zenon_L161_ *)
% 4.69/4.85 assert (zenon_L162_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H19c zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H29 zenon_H11e zenon_H1d zenon_H33 zenon_H38 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_H95 zenon_H96 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4c zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H19a.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5b ].
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.85 apply (zenon_L2_); trivial.
% 4.69/4.85 apply (zenon_L72_); trivial.
% 4.69/4.85 apply (zenon_L161_); trivial.
% 4.69/4.85 (* end of lemma zenon_L162_ *)
% 4.69/4.85 assert (zenon_L163_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H5a zenon_Hb6 zenon_H9d.
% 4.69/4.85 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.69/4.85 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H9d.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H83.
% 4.69/4.85 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.85 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.69/4.85 congruence.
% 4.69/4.85 cut (((op (e0) (e0)) = (e1)) = ((e2) = (e1))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H9e.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H5a.
% 4.69/4.85 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.85 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 4.69/4.85 congruence.
% 4.69/4.85 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.85 apply zenon_H9b. apply refl_equal.
% 4.69/4.85 apply zenon_H5c. apply refl_equal.
% 4.69/4.85 apply zenon_H5c. apply refl_equal.
% 4.69/4.85 (* end of lemma zenon_L163_ *)
% 4.69/4.85 assert (zenon_L164_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H33 zenon_Hc3 zenon_H36 zenon_H5e zenon_H19d zenon_H38.
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 4.69/4.85 exact (zenon_Hc3 zenon_H3a).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 4.69/4.85 exact (zenon_H36 zenon_H3e).
% 4.69/4.85 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 4.69/4.85 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 4.69/4.85 intro zenon_D_pnotp.
% 4.69/4.85 apply zenon_H19d.
% 4.69/4.85 rewrite <- zenon_D_pnotp.
% 4.69/4.85 exact zenon_H5e.
% 4.69/4.85 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 4.69/4.85 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 4.69/4.85 congruence.
% 4.69/4.85 apply zenon_Hd3. apply refl_equal.
% 4.69/4.85 apply zenon_H19e. apply sym_equal. exact zenon_H40.
% 4.69/4.85 exact (zenon_H38 zenon_H3f).
% 4.69/4.85 (* end of lemma zenon_L164_ *)
% 4.69/4.85 assert (zenon_L165_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> False).
% 4.69/4.85 do 0 intro. intros zenon_H19f zenon_H48.
% 4.69/4.85 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 4.69/4.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_H5c. apply refl_equal.
% 4.69/4.86 exact (zenon_H16c zenon_H48).
% 4.69/4.86 (* end of lemma zenon_L165_ *)
% 4.69/4.86 assert (zenon_L166_ : (~((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (e0) (e1)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H1a0 zenon_H48 zenon_H1a1.
% 4.69/4.86 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1a2.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H1a1.
% 4.69/4.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.86 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 4.69/4.86 congruence.
% 4.69/4.86 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1a3.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H17d.
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 4.69/4.86 congruence.
% 4.69/4.86 apply (zenon_L165_); trivial.
% 4.69/4.86 apply zenon_H17e. apply refl_equal.
% 4.69/4.86 apply zenon_H17e. apply refl_equal.
% 4.69/4.86 apply zenon_H52. apply refl_equal.
% 4.69/4.86 exact (zenon_H16c zenon_H48).
% 4.69/4.86 (* end of lemma zenon_L166_ *)
% 4.69/4.86 assert (zenon_L167_ : ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False).
% 4.69/4.86 do 0 intro. intros zenon_Hd1 zenon_H1a1 zenon_H48.
% 4.69/4.86 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ].
% 4.69/4.86 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1a5.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H17d.
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1a2.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H1a1.
% 4.69/4.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.86 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 4.69/4.86 congruence.
% 4.69/4.86 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1a3.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H17d.
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 4.69/4.86 congruence.
% 4.69/4.86 apply (zenon_L165_); trivial.
% 4.69/4.86 apply zenon_H17e. apply refl_equal.
% 4.69/4.86 apply zenon_H17e. apply refl_equal.
% 4.69/4.86 apply zenon_H52. apply refl_equal.
% 4.69/4.86 apply zenon_H17e. apply refl_equal.
% 4.69/4.86 apply zenon_H17e. apply refl_equal.
% 4.69/4.86 apply (zenon_notand_s _ _ zenon_H1a4); [ zenon_intro zenon_H49 | zenon_intro zenon_H181 ].
% 4.69/4.86 apply zenon_H49. apply sym_equal. exact zenon_H48.
% 4.69/4.86 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 4.69/4.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((e3) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H181.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H182.
% 4.69/4.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 4.69/4.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e0) (e1)) = (e3)) = ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e3))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H184.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hd1.
% 4.69/4.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.86 cut (((op (e0) (e1)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 4.69/4.86 congruence.
% 4.69/4.86 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 4.69/4.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((op (e0) (e1)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1a6.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H182.
% 4.69/4.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 4.69/4.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 4.69/4.86 congruence.
% 4.69/4.86 apply (zenon_L166_); trivial.
% 4.69/4.86 apply zenon_H183. apply refl_equal.
% 4.69/4.86 apply zenon_H183. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 apply zenon_H183. apply refl_equal.
% 4.69/4.86 apply zenon_H183. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L167_ *)
% 4.69/4.86 assert (zenon_L168_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H103 zenon_H104 zenon_Ha4 zenon_H179 zenon_Ha0 zenon_H34 zenon_H20 zenon_H102 zenon_H4b zenon_H4c zenon_H4d zenon_Hc3 zenon_H1f zenon_H1a7 zenon_Hfd zenon_H92 zenon_H26 zenon_H54.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.86 exact (zenon_H104 zenon_H108).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H25 | zenon_intro zenon_H1a8 ].
% 4.69/4.86 exact (zenon_H1f zenon_H25).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H3a | zenon_intro zenon_H1a9 ].
% 4.69/4.86 exact (zenon_Hc3 zenon_H3a).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H10e ].
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H43 | zenon_intro zenon_H4e ].
% 4.69/4.86 exact (zenon_H179 zenon_H43).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H48 | zenon_intro zenon_H4f ].
% 4.69/4.86 apply (zenon_L167_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 4.69/4.86 exact (zenon_H4c zenon_H51).
% 4.69/4.86 exact (zenon_H4d zenon_H50).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H27 | zenon_intro zenon_H10c ].
% 4.69/4.86 exact (zenon_H20 zenon_H27).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_He5 | zenon_intro zenon_H10d ].
% 4.69/4.86 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Ha0.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H34.
% 4.69/4.86 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H155].
% 4.69/4.86 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_H3c. apply refl_equal.
% 4.69/4.86 apply zenon_H155. apply sym_equal. exact zenon_He5.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf7 ].
% 4.69/4.86 exact (zenon_H179 zenon_H43).
% 4.69/4.86 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Ha4.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H10e.
% 4.69/4.86 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 4.69/4.86 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_Ha8. apply refl_equal.
% 4.69/4.86 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.86 apply (zenon_L62_); trivial.
% 4.69/4.86 apply (zenon_L60_); trivial.
% 4.69/4.86 (* end of lemma zenon_L168_ *)
% 4.69/4.86 assert (zenon_L169_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H103 zenon_H104 zenon_H13c zenon_H9c zenon_Hfd zenon_H92 zenon_H26 zenon_H54.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.86 exact (zenon_H104 zenon_H108).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.86 apply (zenon_L114_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.86 apply (zenon_L62_); trivial.
% 4.69/4.86 apply (zenon_L60_); trivial.
% 4.69/4.86 (* end of lemma zenon_L169_ *)
% 4.69/4.86 assert (zenon_L170_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H41 zenon_Hf0 zenon_H48.
% 4.69/4.86 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H41.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hf0.
% 4.69/4.86 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 4.69/4.86 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_H45. apply refl_equal.
% 4.69/4.86 apply zenon_H49. apply sym_equal. exact zenon_H48.
% 4.69/4.86 (* end of lemma zenon_L170_ *)
% 4.69/4.86 assert (zenon_L171_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H4b zenon_H179 zenon_Hf0 zenon_H41 zenon_H4c zenon_H4d.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H43 | zenon_intro zenon_H4e ].
% 4.69/4.86 exact (zenon_H179 zenon_H43).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H48 | zenon_intro zenon_H4f ].
% 4.69/4.86 apply (zenon_L170_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 4.69/4.86 exact (zenon_H4c zenon_H51).
% 4.69/4.86 exact (zenon_H4d zenon_H50).
% 4.69/4.86 (* end of lemma zenon_L171_ *)
% 4.69/4.86 assert (zenon_L172_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H123 zenon_H2e zenon_H13c.
% 4.69/4.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.69/4.86 cut (((e3) = (e3)) = ((e1) = (e3))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H13c.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H55.
% 4.69/4.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.86 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e3) (e0)) = (e1)) = ((e3) = (e1))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H13d.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H123.
% 4.69/4.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.86 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 4.69/4.86 congruence.
% 4.69/4.86 exact (zenon_H29 zenon_H2e).
% 4.69/4.86 apply zenon_H9b. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L172_ *)
% 4.69/4.86 assert (zenon_L173_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H28 zenon_H13c zenon_H123 zenon_H2a zenon_H2b zenon_H2c.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 4.69/4.86 apply (zenon_L172_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 4.69/4.86 exact (zenon_H2a zenon_H30).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 4.69/4.86 exact (zenon_H2b zenon_H32).
% 4.69/4.86 exact (zenon_H2c zenon_H31).
% 4.69/4.86 (* end of lemma zenon_L173_ *)
% 4.69/4.86 assert (zenon_L174_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H100 zenon_H2b zenon_H4d zenon_H13c zenon_H18f zenon_H38 zenon_H19d zenon_H36 zenon_Hc3 zenon_H33 zenon_H9d zenon_Hb8 zenon_H26 zenon_H82.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.86 apply (zenon_L147_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.86 apply (zenon_L164_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.86 apply (zenon_L149_); trivial.
% 4.69/4.86 apply (zenon_L63_); trivial.
% 4.69/4.86 (* end of lemma zenon_L174_ *)
% 4.69/4.86 assert (zenon_L175_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 4.69/4.86 do 0 intro. intros zenon_Hf9 zenon_Ha5 zenon_H79.
% 4.69/4.86 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Hf9.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Ha5.
% 4.69/4.86 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 4.69/4.86 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_Ha8. apply refl_equal.
% 4.69/4.86 apply zenon_H1aa. apply sym_equal. exact zenon_H79.
% 4.69/4.86 (* end of lemma zenon_L175_ *)
% 4.69/4.86 assert (zenon_L176_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H103 zenon_H104 zenon_H2c zenon_Hf9 zenon_Hdc zenon_H86 zenon_H70 zenon_Ha1 zenon_Hd7 zenon_Hda zenon_H145 zenon_H75 zenon_H4d zenon_Hd0 zenon_H42 zenon_He2 zenon_H96 zenon_H35 zenon_H33 zenon_Hc3 zenon_H36 zenon_H19d zenon_H38 zenon_Hac zenon_Hfd zenon_H92 zenon_H26 zenon_H54.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.86 exact (zenon_H104 zenon_H108).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.86 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H5e | zenon_intro zenon_Had ].
% 4.69/4.86 apply (zenon_L164_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H40 | zenon_intro zenon_Hae ].
% 4.69/4.86 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H35.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Ha1.
% 4.69/4.86 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 4.69/4.86 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_H3c. apply refl_equal.
% 4.69/4.86 apply zenon_H19e. apply sym_equal. exact zenon_H40.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha5 ].
% 4.69/4.86 exact (zenon_H96 zenon_H9a).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H53 | zenon_intro zenon_He3 ].
% 4.69/4.86 apply (zenon_L8_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H5d | zenon_intro zenon_He4 ].
% 4.69/4.86 apply (zenon_L39_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H50 | zenon_intro zenon_H8d ].
% 4.69/4.86 exact (zenon_H4d zenon_H50).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.69/4.86 exact (zenon_H145 zenon_H6d).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.69/4.86 apply (zenon_L45_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.69/4.86 apply (zenon_L175_); trivial.
% 4.69/4.86 exact (zenon_H2c zenon_H31).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.86 apply (zenon_L62_); trivial.
% 4.69/4.86 apply (zenon_L60_); trivial.
% 4.69/4.86 (* end of lemma zenon_L176_ *)
% 4.69/4.86 assert (zenon_L177_ : ((op (e3) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_Hb0 zenon_H2e zenon_Hfd.
% 4.69/4.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.69/4.86 cut (((e3) = (e3)) = ((e2) = (e3))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Hfd.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H55.
% 4.69/4.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.86 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e3) (e0)) = (e2)) = ((e3) = (e2))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Hfe.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hb0.
% 4.69/4.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.86 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 4.69/4.86 congruence.
% 4.69/4.86 exact (zenon_H29 zenon_H2e).
% 4.69/4.86 apply zenon_H5c. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L177_ *)
% 4.69/4.86 assert (zenon_L178_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H28 zenon_Hfd zenon_Hb0 zenon_H2a zenon_H2b zenon_H2c.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 4.69/4.86 apply (zenon_L177_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 4.69/4.86 exact (zenon_H2a zenon_H30).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 4.69/4.86 exact (zenon_H2b zenon_H32).
% 4.69/4.86 exact (zenon_H2c zenon_H31).
% 4.69/4.86 (* end of lemma zenon_L178_ *)
% 4.69/4.86 assert (zenon_L179_ : ((op (e2) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H42 zenon_H34 zenon_H1ab.
% 4.69/4.86 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H45 ].
% 4.69/4.86 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1ab.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H1ac.
% 4.69/4.86 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 4.69/4.86 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e1) (e0)))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1ad.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H42.
% 4.69/4.86 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 4.69/4.86 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_H45. apply refl_equal.
% 4.69/4.86 apply zenon_Hc1. apply sym_equal. exact zenon_H34.
% 4.69/4.86 apply zenon_H45. apply refl_equal.
% 4.69/4.86 apply zenon_H45. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L179_ *)
% 4.69/4.86 assert (zenon_L180_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H1ae zenon_H40.
% 4.69/4.86 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 4.69/4.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_H9b. apply refl_equal.
% 4.69/4.86 exact (zenon_H37 zenon_H40).
% 4.69/4.86 (* end of lemma zenon_L180_ *)
% 4.69/4.86 assert (zenon_L181_ : ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> False).
% 4.69/4.86 do 0 intro. intros zenon_Hed zenon_He5 zenon_H40.
% 4.69/4.86 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H15a | zenon_intro zenon_H1af ].
% 4.69/4.86 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H15a.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hc6.
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H15b.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_He5.
% 4.69/4.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.86 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1b0].
% 4.69/4.86 congruence.
% 4.69/4.86 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1b0.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hc6.
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 4.69/4.86 congruence.
% 4.69/4.86 apply (zenon_L180_); trivial.
% 4.69/4.86 apply zenon_Hc7. apply refl_equal.
% 4.69/4.86 apply zenon_Hc7. apply refl_equal.
% 4.69/4.86 apply zenon_H52. apply refl_equal.
% 4.69/4.86 apply zenon_Hc7. apply refl_equal.
% 4.69/4.86 apply zenon_Hc7. apply refl_equal.
% 4.69/4.86 apply (zenon_notand_s _ _ zenon_H1af); [ zenon_intro zenon_H19e | zenon_intro zenon_Hca ].
% 4.69/4.86 apply zenon_H19e. apply sym_equal. exact zenon_H40.
% 4.69/4.86 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hcc ].
% 4.69/4.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((e3) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Hca.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hcb.
% 4.69/4.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 4.69/4.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e0) (e2)) = (e3)) = ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e3))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Hcd.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hed.
% 4.69/4.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.86 cut (((op (e0) (e2)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1b1].
% 4.69/4.86 congruence.
% 4.69/4.86 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hcc ].
% 4.69/4.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((op (e0) (e2)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1b1.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hcb.
% 4.69/4.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 4.69/4.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b2].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H15b.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_He5.
% 4.69/4.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.86 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1b0].
% 4.69/4.86 congruence.
% 4.69/4.86 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H1b0.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hc6.
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 4.69/4.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 4.69/4.86 congruence.
% 4.69/4.86 apply (zenon_L180_); trivial.
% 4.69/4.86 apply zenon_Hc7. apply refl_equal.
% 4.69/4.86 apply zenon_Hc7. apply refl_equal.
% 4.69/4.86 apply zenon_H52. apply refl_equal.
% 4.69/4.86 exact (zenon_H37 zenon_H40).
% 4.69/4.86 apply zenon_Hcc. apply refl_equal.
% 4.69/4.86 apply zenon_Hcc. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 apply zenon_Hcc. apply refl_equal.
% 4.69/4.86 apply zenon_Hcc. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L181_ *)
% 4.69/4.86 assert (zenon_L182_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_He5 zenon_Ha2 zenon_H82.
% 4.69/4.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.69/4.86 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H82.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H83.
% 4.69/4.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.86 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e1) (e2)) = (e0)) = ((e2) = (e0))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H84.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_He5.
% 4.69/4.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.86 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 4.69/4.86 congruence.
% 4.69/4.86 exact (zenon_H1b3 zenon_Ha2).
% 4.69/4.86 apply zenon_H52. apply refl_equal.
% 4.69/4.86 apply zenon_H5c. apply refl_equal.
% 4.69/4.86 apply zenon_H5c. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L182_ *)
% 4.69/4.86 assert (zenon_L183_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_Hd8 zenon_Hdb zenon_Hfd.
% 4.69/4.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.69/4.86 cut (((e3) = (e3)) = ((e2) = (e3))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Hfd.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H55.
% 4.69/4.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.86 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e1) (e3)) = (e2)) = ((e3) = (e2))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_Hfe.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hd8.
% 4.69/4.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.86 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 4.69/4.86 congruence.
% 4.69/4.86 exact (zenon_H164 zenon_Hdb).
% 4.69/4.86 apply zenon_H5c. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L183_ *)
% 4.69/4.86 assert (zenon_L184_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H165 zenon_H9d zenon_H82 zenon_He5 zenon_H166 zenon_H13c zenon_H7e zenon_H38 zenon_Hed zenon_H132 zenon_Hfd.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H167 ].
% 4.69/4.86 apply (zenon_L118_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H40 | zenon_intro zenon_H168 ].
% 4.69/4.86 apply (zenon_L181_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hd8 ].
% 4.69/4.86 apply (zenon_L182_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H156 | zenon_intro zenon_H169 ].
% 4.69/4.86 apply (zenon_L119_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H3f | zenon_intro zenon_H16a ].
% 4.69/4.86 exact (zenon_H38 zenon_H3f).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H162 | zenon_intro zenon_Hdb ].
% 4.69/4.86 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H132.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hed.
% 4.69/4.86 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b4].
% 4.69/4.86 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 4.69/4.86 congruence.
% 4.69/4.86 apply zenon_H134. apply refl_equal.
% 4.69/4.86 apply zenon_H1b4. apply sym_equal. exact zenon_H162.
% 4.69/4.86 apply (zenon_L183_); trivial.
% 4.69/4.86 (* end of lemma zenon_L184_ *)
% 4.69/4.86 assert (zenon_L185_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> False).
% 4.69/4.86 do 0 intro. intros zenon_Ha9 zenon_Hfd zenon_Hed zenon_Ha1 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha5.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H92 | zenon_intro zenon_Haa ].
% 4.69/4.86 apply (zenon_L62_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hab ].
% 4.69/4.86 apply (zenon_L27_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H51 | zenon_intro zenon_Ha6 ].
% 4.69/4.86 exact (zenon_H4c zenon_H51).
% 4.69/4.86 apply (zenon_L28_); trivial.
% 4.69/4.86 (* end of lemma zenon_L185_ *)
% 4.69/4.86 assert (zenon_L186_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H71 zenon_Hd8 zenon_H9d.
% 4.69/4.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.69/4.86 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H9d.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H83.
% 4.69/4.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.86 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H9e.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H71.
% 4.69/4.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.86 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 4.69/4.86 congruence.
% 4.69/4.86 exact (zenon_H1b5 zenon_Hd8).
% 4.69/4.86 apply zenon_H9b. apply refl_equal.
% 4.69/4.86 apply zenon_H5c. apply refl_equal.
% 4.69/4.86 apply zenon_H5c. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L186_ *)
% 4.69/4.86 assert (zenon_L187_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_Hbd zenon_H2e zenon_H54.
% 4.69/4.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ].
% 4.69/4.86 cut (((e3) = (e3)) = ((e0) = (e3))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H54.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_H55.
% 4.69/4.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.86 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 4.69/4.86 congruence.
% 4.69/4.86 cut (((op (e3) (e0)) = (e0)) = ((e3) = (e0))).
% 4.69/4.86 intro zenon_D_pnotp.
% 4.69/4.86 apply zenon_H57.
% 4.69/4.86 rewrite <- zenon_D_pnotp.
% 4.69/4.86 exact zenon_Hbd.
% 4.69/4.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.86 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 4.69/4.86 congruence.
% 4.69/4.86 exact (zenon_H29 zenon_H2e).
% 4.69/4.86 apply zenon_H52. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 apply zenon_H56. apply refl_equal.
% 4.69/4.86 (* end of lemma zenon_L187_ *)
% 4.69/4.86 assert (zenon_L188_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H28 zenon_H54 zenon_Hbd zenon_H2a zenon_H2b zenon_H2c.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 4.69/4.86 apply (zenon_L187_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 4.69/4.86 exact (zenon_H2a zenon_H30).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 4.69/4.86 exact (zenon_H2b zenon_H32).
% 4.69/4.86 exact (zenon_H2c zenon_H31).
% 4.69/4.86 (* end of lemma zenon_L188_ *)
% 4.69/4.86 assert (zenon_L189_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H33 zenon_Hc3 zenon_H36 zenon_H37 zenon_H38.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 4.69/4.86 exact (zenon_Hc3 zenon_H3a).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 4.69/4.86 exact (zenon_H36 zenon_H3e).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 4.69/4.86 exact (zenon_H37 zenon_H40).
% 4.69/4.86 exact (zenon_H38 zenon_H3f).
% 4.69/4.86 (* end of lemma zenon_L189_ *)
% 4.69/4.86 assert (zenon_L190_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H103 zenon_H104 zenon_H9c zenon_H86 zenon_H165 zenon_H9d zenon_H82 zenon_H166 zenon_H13c zenon_H7e zenon_H38 zenon_H132 zenon_Hfd zenon_Hc3 zenon_H42 zenon_H1ab zenon_He9 zenon_H26 zenon_H54.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.86 exact (zenon_H104 zenon_H108).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.86 apply (zenon_L114_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.86 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.69/4.86 apply (zenon_L179_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.69/4.86 exact (zenon_Hc3 zenon_H3a).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.69/4.86 apply (zenon_L184_); trivial.
% 4.69/4.86 apply (zenon_L42_); trivial.
% 4.69/4.86 apply (zenon_L60_); trivial.
% 4.69/4.86 (* end of lemma zenon_L190_ *)
% 4.69/4.86 assert (zenon_L191_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H11f zenon_H1e zenon_H5b zenon_H2b zenon_H4d zenon_Hb8 zenon_H13c zenon_H18f zenon_H104.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H23 | zenon_intro zenon_H120 ].
% 4.69/4.86 exact (zenon_H1e zenon_H23).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H5a | zenon_intro zenon_H121 ].
% 4.69/4.86 exact (zenon_H5b zenon_H5a).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H108 ].
% 4.69/4.86 apply (zenon_L147_); trivial.
% 4.69/4.86 exact (zenon_H104 zenon_H108).
% 4.69/4.86 (* end of lemma zenon_L191_ *)
% 4.69/4.86 assert (zenon_L192_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H118 zenon_H2c zenon_H2a zenon_H28 zenon_H42 zenon_H103 zenon_H86 zenon_H165 zenon_H9d zenon_H82 zenon_H166 zenon_H38 zenon_H132 zenon_Hfd zenon_Hc3 zenon_H1ab zenon_He9 zenon_H54 zenon_H137 zenon_H104 zenon_H18f zenon_H13c zenon_H4d zenon_H2b zenon_H5b zenon_H1e zenon_H11f zenon_H26 zenon_Hb9.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.86 exact (zenon_H5b zenon_H5a).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.86 exact (zenon_H5b zenon_H5a).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.86 apply (zenon_L190_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.86 apply (zenon_L100_); trivial.
% 4.69/4.86 apply (zenon_L173_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.86 apply (zenon_L191_); trivial.
% 4.69/4.86 apply (zenon_L40_); trivial.
% 4.69/4.86 (* end of lemma zenon_L192_ *)
% 4.69/4.86 assert (zenon_L193_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H4b zenon_H179 zenon_H16c zenon_H4c zenon_H4d.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H43 | zenon_intro zenon_H4e ].
% 4.69/4.86 exact (zenon_H179 zenon_H43).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H48 | zenon_intro zenon_H4f ].
% 4.69/4.86 exact (zenon_H16c zenon_H48).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 4.69/4.86 exact (zenon_H4c zenon_H51).
% 4.69/4.86 exact (zenon_H4d zenon_H50).
% 4.69/4.86 (* end of lemma zenon_L193_ *)
% 4.69/4.86 assert (zenon_L194_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H19b zenon_H1d zenon_H137 zenon_H13c zenon_H2c zenon_H28 zenon_H179 zenon_H41 zenon_H4c zenon_H4d zenon_H4b zenon_Hb9 zenon_H5b zenon_H118 zenon_H18f zenon_H11f zenon_H103 zenon_H54 zenon_H1ab zenon_Hc3 zenon_H165 zenon_H38 zenon_H132 zenon_Hfd zenon_H166 zenon_H82 zenon_H9d zenon_H86 zenon_He9 zenon_H104 zenon_H114 zenon_H20 zenon_H1f zenon_H1e zenon_H19a.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H2a | zenon_intro zenon_H16c ].
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.86 exact (zenon_H1e zenon_H23).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.86 exact (zenon_H1f zenon_H25).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.86 exact (zenon_H20 zenon_H27).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.69/4.86 exact (zenon_H1e zenon_H23).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.86 exact (zenon_H5b zenon_H5a).
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.86 apply (zenon_L110_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.86 apply (zenon_L171_); trivial.
% 4.69/4.86 apply (zenon_L173_); trivial.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.69/4.86 apply (zenon_L192_); trivial.
% 4.69/4.86 apply (zenon_L188_); trivial.
% 4.69/4.86 apply (zenon_L73_); trivial.
% 4.69/4.86 apply (zenon_L193_); trivial.
% 4.69/4.86 (* end of lemma zenon_L194_ *)
% 4.69/4.86 assert (zenon_L195_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H1b6 zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H12e zenon_Hb3 zenon_Haf zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_H94 zenon_Hd0 zenon_H100 zenon_H36 zenon_H7b zenon_H152 zenon_H170 zenon_Hbe zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H19a zenon_H1e zenon_H1f zenon_H20 zenon_H114 zenon_H104 zenon_He9 zenon_H86 zenon_H9d zenon_H82 zenon_H166 zenon_Hfd zenon_H132 zenon_H38 zenon_H165 zenon_Hc3 zenon_H1ab zenon_H54 zenon_H103 zenon_H11f zenon_H18f zenon_H118 zenon_H5b zenon_Hb9 zenon_H4b zenon_H4d zenon_H41 zenon_H179 zenon_H28 zenon_H2c zenon_H13c zenon_H137 zenon_H1d zenon_H19b.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.86 apply (zenon_L194_); trivial.
% 4.69/4.86 apply (zenon_L138_); trivial.
% 4.69/4.86 (* end of lemma zenon_L195_ *)
% 4.69/4.86 assert (zenon_L196_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H1b7 zenon_H19b zenon_H1d zenon_H137 zenon_H13c zenon_H2c zenon_H28 zenon_H179 zenon_H41 zenon_H4d zenon_H4b zenon_Hb9 zenon_H5b zenon_H118 zenon_H18f zenon_H11f zenon_H103 zenon_H54 zenon_H1ab zenon_Hc3 zenon_H165 zenon_H38 zenon_H132 zenon_Hfd zenon_H166 zenon_H82 zenon_H9d zenon_H86 zenon_He9 zenon_H104 zenon_H114 zenon_H20 zenon_H1f zenon_H1e zenon_H19a zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_Hbe zenon_H170 zenon_H152 zenon_H7b zenon_H100 zenon_Hd0 zenon_H94 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_Haf zenon_Hb3 zenon_H12e zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H1b6.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H36 | zenon_intro zenon_H36 ].
% 4.69/4.86 apply (zenon_L195_); trivial.
% 4.69/4.86 apply (zenon_L195_); trivial.
% 4.69/4.86 (* end of lemma zenon_L196_ *)
% 4.69/4.86 assert (zenon_L197_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 4.69/4.86 do 0 intro. intros zenon_H1b8 zenon_H1b6 zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H12e zenon_Hb3 zenon_Haf zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_H94 zenon_Hd0 zenon_H100 zenon_H7b zenon_H152 zenon_H170 zenon_Hbe zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H19a zenon_H1e zenon_H1f zenon_H20 zenon_H114 zenon_H104 zenon_He9 zenon_H86 zenon_H9d zenon_H82 zenon_H166 zenon_Hfd zenon_H132 zenon_H165 zenon_H1ab zenon_H54 zenon_H103 zenon_H11f zenon_H18f zenon_H118 zenon_Hb9 zenon_H4b zenon_H4d zenon_H41 zenon_H179 zenon_H28 zenon_H2c zenon_H13c zenon_H137 zenon_H1d zenon_H19b zenon_H1b7 zenon_Hc3 zenon_H37 zenon_H38 zenon_H33.
% 4.69/4.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.69/4.86 apply (zenon_L189_); trivial.
% 4.69/4.86 apply (zenon_L196_); trivial.
% 4.69/4.86 (* end of lemma zenon_L197_ *)
% 4.69/4.86 assert (zenon_L198_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H11e zenon_H1b7 zenon_H19b zenon_H137 zenon_H13c zenon_H41 zenon_Hb9 zenon_H118 zenon_H18f zenon_H11f zenon_H1ab zenon_H165 zenon_H132 zenon_H166 zenon_H9d zenon_He9 zenon_H19a zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_Hbe zenon_H170 zenon_H152 zenon_H7b zenon_H94 zenon_Ha9 zenon_Haf zenon_H12e zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H113 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H1b6 zenon_H1b8 zenon_H1e zenon_H1f zenon_H20 zenon_H114 zenon_Hb3 zenon_H2a zenon_H28 zenon_Hac zenon_Hd0 zenon_H75 zenon_H2c zenon_Hf9 zenon_H86 zenon_H70 zenon_Hd7 zenon_Hda zenon_Hdc zenon_H145 zenon_He2 zenon_H96 zenon_H35 zenon_Hb4 zenon_H33 zenon_H38 zenon_H19d zenon_H36 zenon_Hc3 zenon_H103 zenon_H54 zenon_Hfd zenon_H4b zenon_H4d zenon_H4c zenon_H179 zenon_H102 zenon_Ha4 zenon_Ha0 zenon_H1a7 zenon_H104 zenon_H82 zenon_H100 zenon_H1d.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H2b | zenon_intro zenon_H37 ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.87 exact (zenon_H1e zenon_H23).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.87 exact (zenon_H1f zenon_H25).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.87 exact (zenon_H20 zenon_H27).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.69/4.87 exact (zenon_H1e zenon_H23).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.87 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.87 apply (zenon_L164_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.87 apply (zenon_L168_); trivial.
% 4.69/4.87 apply (zenon_L63_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.87 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.87 apply (zenon_L164_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.69/4.87 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.69/4.87 apply (zenon_L176_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.69/4.87 apply (zenon_L31_); trivial.
% 4.69/4.87 apply (zenon_L178_); trivial.
% 4.69/4.87 apply (zenon_L63_); trivial.
% 4.69/4.87 apply (zenon_L188_); trivial.
% 4.69/4.87 apply (zenon_L197_); trivial.
% 4.69/4.87 (* end of lemma zenon_L198_ *)
% 4.69/4.87 assert (zenon_L199_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H19c zenon_H1d zenon_H118 zenon_H18f zenon_H13c zenon_Hb9 zenon_H41 zenon_H28 zenon_H2c zenon_H137 zenon_H9d zenon_H33 zenon_H38 zenon_H19d zenon_H36 zenon_Hc3 zenon_H103 zenon_H54 zenon_Hfd zenon_H4b zenon_H4d zenon_H4c zenon_H179 zenon_H102 zenon_Ha4 zenon_Ha0 zenon_H1a7 zenon_H104 zenon_H82 zenon_H100 zenon_He9 zenon_H165 zenon_H132 zenon_H166 zenon_H195 zenon_Ha9 zenon_H7b zenon_H1ab zenon_Hb3 zenon_Hac zenon_Hd0 zenon_H75 zenon_Hf9 zenon_H86 zenon_H70 zenon_Hd7 zenon_Hda zenon_Hdc zenon_H145 zenon_He2 zenon_H96 zenon_H35 zenon_H114 zenon_H20 zenon_H1f zenon_H1e zenon_H11e zenon_H1b7 zenon_H19b zenon_H11f zenon_H19a zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_Hbe zenon_H170 zenon_H152 zenon_H94 zenon_Haf zenon_H12e zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H113 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H1b6 zenon_H1b8.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5b ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.87 exact (zenon_H1e zenon_H23).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.87 exact (zenon_H1f zenon_H25).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.87 exact (zenon_H20 zenon_H27).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.69/4.87 exact (zenon_H1e zenon_H23).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.87 apply (zenon_L163_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.87 apply (zenon_L164_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.87 apply (zenon_L168_); trivial.
% 4.69/4.87 apply (zenon_L63_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.87 apply (zenon_L163_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.87 apply (zenon_L26_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.87 apply (zenon_L169_); trivial.
% 4.69/4.87 apply (zenon_L63_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.87 apply (zenon_L110_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.87 apply (zenon_L171_); trivial.
% 4.69/4.87 apply (zenon_L173_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.87 apply (zenon_L174_); trivial.
% 4.69/4.87 apply (zenon_L40_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.87 apply (zenon_L163_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.87 apply (zenon_L164_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.69/4.87 apply (zenon_L163_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.69/4.87 apply (zenon_L176_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.69/4.87 apply (zenon_L31_); trivial.
% 4.69/4.87 apply (zenon_L178_); trivial.
% 4.69/4.87 apply (zenon_L63_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.87 exact (zenon_H104 zenon_H108).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.87 apply (zenon_L114_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.69/4.87 apply (zenon_L179_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.69/4.87 exact (zenon_Hc3 zenon_H3a).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.69/4.87 apply (zenon_L184_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.69/4.87 exact (zenon_H36 zenon_H3e).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.69/4.87 exact (zenon_H195 zenon_H47).
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H167 ].
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H5e | zenon_intro zenon_Had ].
% 4.69/4.87 apply (zenon_L26_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H40 | zenon_intro zenon_Hae ].
% 4.69/4.87 apply (zenon_L181_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha5 ].
% 4.69/4.87 exact (zenon_H96 zenon_H9a).
% 4.69/4.87 apply (zenon_L185_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H40 | zenon_intro zenon_H168 ].
% 4.69/4.87 apply (zenon_L181_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hd8 ].
% 4.69/4.87 apply (zenon_L182_); trivial.
% 4.69/4.87 apply (zenon_L186_); trivial.
% 4.69/4.87 apply (zenon_L42_); trivial.
% 4.69/4.87 apply (zenon_L60_); trivial.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.87 apply (zenon_L174_); trivial.
% 4.69/4.87 apply (zenon_L40_); trivial.
% 4.69/4.87 apply (zenon_L188_); trivial.
% 4.69/4.87 apply (zenon_L198_); trivial.
% 4.69/4.87 apply (zenon_L194_); trivial.
% 4.69/4.87 (* end of lemma zenon_L199_ *)
% 4.69/4.87 assert (zenon_L200_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H1b9 zenon_H1b8 zenon_H1b6 zenon_H1b7 zenon_H1ab zenon_H1a7 zenon_H179 zenon_Hc3 zenon_H19d zenon_H19a zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H38 zenon_H33 zenon_H1d zenon_H11e zenon_H2c zenon_H28 zenon_H19b zenon_H20 zenon_H18f zenon_H195 zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19c.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H29 | zenon_intro zenon_H145 ].
% 4.69/4.87 apply (zenon_L162_); trivial.
% 4.69/4.87 apply (zenon_L199_); trivial.
% 4.69/4.87 (* end of lemma zenon_L200_ *)
% 4.69/4.87 assert (zenon_L201_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H1ba zenon_H19d zenon_Hc3 zenon_H1a7 zenon_H1ab zenon_H1b7 zenon_H1b6 zenon_H1b8 zenon_H1b9 zenon_H19a zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H38 zenon_H33 zenon_H1d zenon_H11e zenon_H2c zenon_H28 zenon_H19b zenon_H20 zenon_H18f zenon_H195 zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19c.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H29 | zenon_intro zenon_H179 ].
% 4.69/4.87 apply (zenon_L162_); trivial.
% 4.69/4.87 apply (zenon_L200_); trivial.
% 4.69/4.87 (* end of lemma zenon_L201_ *)
% 4.69/4.87 assert (zenon_L202_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H19c zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H29 zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H38 zenon_H33 zenon_H1d zenon_H11e.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5b ].
% 4.69/4.87 apply (zenon_L72_); trivial.
% 4.69/4.87 apply (zenon_L161_); trivial.
% 4.69/4.87 (* end of lemma zenon_L202_ *)
% 4.69/4.87 assert (zenon_L203_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H19c zenon_H1d zenon_H100 zenon_H82 zenon_H104 zenon_H1a7 zenon_Ha0 zenon_Ha4 zenon_H102 zenon_H179 zenon_H4c zenon_H4d zenon_H4b zenon_Hfd zenon_H54 zenon_H103 zenon_Hc3 zenon_H36 zenon_H19d zenon_H38 zenon_H33 zenon_Hb4 zenon_H35 zenon_H96 zenon_He2 zenon_H145 zenon_Hdc zenon_Hda zenon_Hd7 zenon_H70 zenon_H86 zenon_Hf9 zenon_H2c zenon_H75 zenon_Hd0 zenon_Hac zenon_H28 zenon_Hb3 zenon_H114 zenon_H20 zenon_H1f zenon_H1e zenon_H1b8 zenon_H1b6 zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H113 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H12e zenon_Haf zenon_Ha9 zenon_H94 zenon_H7b zenon_H152 zenon_H170 zenon_Hbe zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H19a zenon_He9 zenon_H9d zenon_H166 zenon_H132 zenon_H165 zenon_H1ab zenon_H11f zenon_H18f zenon_H118 zenon_Hb9 zenon_H41 zenon_H13c zenon_H137 zenon_H19b zenon_H1b7 zenon_H11e.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5b ].
% 4.69/4.87 apply (zenon_L198_); trivial.
% 4.69/4.87 apply (zenon_L194_); trivial.
% 4.69/4.87 (* end of lemma zenon_L203_ *)
% 4.69/4.87 assert (zenon_L204_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H1b9 zenon_H1b7 zenon_H1ab zenon_H1b6 zenon_H1b8 zenon_H19d zenon_Hc3 zenon_H179 zenon_H1a7 zenon_H11e zenon_H1d zenon_H33 zenon_H38 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_H95 zenon_H96 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4c zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H2c zenon_H28 zenon_H19b zenon_H20 zenon_H18f zenon_H195 zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19a zenon_H19c.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H29 | zenon_intro zenon_H145 ].
% 4.69/4.87 apply (zenon_L202_); trivial.
% 4.69/4.87 apply (zenon_L203_); trivial.
% 4.69/4.87 (* end of lemma zenon_L204_ *)
% 4.69/4.87 assert (zenon_L205_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H1ba zenon_H1a7 zenon_Hc3 zenon_H19d zenon_H1b8 zenon_H1b6 zenon_H1ab zenon_H1b7 zenon_H1b9 zenon_H11e zenon_H1d zenon_H33 zenon_H38 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_H95 zenon_H96 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4c zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H2c zenon_H28 zenon_H19b zenon_H20 zenon_H18f zenon_H195 zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19a zenon_H19c.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H29 | zenon_intro zenon_H179 ].
% 4.69/4.87 apply (zenon_L202_); trivial.
% 4.69/4.87 apply (zenon_L204_); trivial.
% 4.69/4.87 (* end of lemma zenon_L205_ *)
% 4.69/4.87 assert (zenon_L206_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.87 do 0 intro. intros zenon_H1b7 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H1e zenon_H1f zenon_H114 zenon_H7b zenon_H132 zenon_H100 zenon_Hd0 zenon_H94 zenon_H5b zenon_H137 zenon_Hb4 zenon_Hac zenon_H82 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha9 zenon_H37 zenon_H9d zenon_Haf zenon_Hb3 zenon_H7c zenon_Hb9 zenon_H12e zenon_H76 zenon_H11f zenon_H118 zenon_H21 zenon_H1d zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171.
% 4.69/4.87 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H36 | zenon_intro zenon_H36 ].
% 4.69/4.87 apply (zenon_L134_); trivial.
% 4.69/4.87 apply (zenon_L134_); trivial.
% 4.69/4.87 (* end of lemma zenon_L206_ *)
% 4.69/4.87 assert (zenon_L207_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H174 zenon_H173 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H1d zenon_H21 zenon_H118 zenon_H11f zenon_H76 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_H37 zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H82 zenon_Hac zenon_Hb4 zenon_H137 zenon_H5b zenon_H94 zenon_Hd0 zenon_H100 zenon_H132 zenon_H7b zenon_H114 zenon_H1f zenon_H1e zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H1b7.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.69/4.88 apply (zenon_L206_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.69/4.88 apply (zenon_L206_); trivial.
% 4.69/4.88 apply (zenon_L135_); trivial.
% 4.69/4.88 (* end of lemma zenon_L207_ *)
% 4.69/4.88 assert (zenon_L208_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H122 zenon_H1b7 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H1e zenon_H1f zenon_H114 zenon_H7b zenon_H132 zenon_H100 zenon_Hd0 zenon_H94 zenon_H5b zenon_H137 zenon_Hb4 zenon_Hac zenon_H82 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha9 zenon_H37 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H76 zenon_H11f zenon_H118 zenon_H1d zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H173 zenon_H174.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.69/4.88 apply (zenon_L207_); trivial.
% 4.69/4.88 apply (zenon_L73_); trivial.
% 4.69/4.88 (* end of lemma zenon_L208_ *)
% 4.69/4.88 assert (zenon_L209_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H176 zenon_H174 zenon_H173 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H118 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_H37 zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H82 zenon_Hac zenon_H137 zenon_H94 zenon_Hd0 zenon_H100 zenon_H132 zenon_H7b zenon_H114 zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H1b7 zenon_H1d zenon_H1f zenon_H1e zenon_H11f zenon_Hb4 zenon_H5b zenon_H122.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H20 | zenon_intro zenon_H76 ].
% 4.69/4.88 apply (zenon_L74_); trivial.
% 4.69/4.88 apply (zenon_L208_); trivial.
% 4.69/4.88 (* end of lemma zenon_L209_ *)
% 4.69/4.88 assert (zenon_L210_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1b8 zenon_H122 zenon_Hb4 zenon_H11f zenon_H1e zenon_H1f zenon_H1d zenon_H1b7 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H173 zenon_H174 zenon_H176 zenon_Hc3 zenon_H37 zenon_H38 zenon_H33.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.69/4.88 apply (zenon_L189_); trivial.
% 4.69/4.88 apply (zenon_L209_); trivial.
% 4.69/4.88 (* end of lemma zenon_L210_ *)
% 4.69/4.88 assert (zenon_L211_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1bb zenon_H1b7 zenon_H1b8 zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H38 zenon_H33 zenon_H1d zenon_H2c zenon_H28 zenon_H19b zenon_H20 zenon_H18f zenon_H195 zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19a zenon_H19c.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H29 | zenon_intro zenon_Hc3 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5b ].
% 4.69/4.88 apply (zenon_L71_); trivial.
% 4.69/4.88 apply (zenon_L161_); trivial.
% 4.69/4.88 apply (zenon_L210_); trivial.
% 4.69/4.88 (* end of lemma zenon_L211_ *)
% 4.69/4.88 assert (zenon_L212_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1bc zenon_H19c zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H1d zenon_H33 zenon_H38 zenon_H37 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_H95 zenon_H96 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H1b8 zenon_H1b7 zenon_H1bb.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H4c | zenon_intro zenon_H4c ].
% 4.69/4.88 apply (zenon_L211_); trivial.
% 4.69/4.88 apply (zenon_L211_); trivial.
% 4.69/4.88 (* end of lemma zenon_L212_ *)
% 4.69/4.88 assert (zenon_L213_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1bd zenon_H1bc zenon_H19c zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H38 zenon_H33 zenon_H1d zenon_H11e zenon_H1ba zenon_H1a7 zenon_H19d zenon_H1b8 zenon_H1b6 zenon_H1ab zenon_H1b7 zenon_H1b9 zenon_H1bb.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H4c | zenon_intro zenon_H37 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H29 | zenon_intro zenon_Hc3 ].
% 4.69/4.88 apply (zenon_L202_); trivial.
% 4.69/4.88 apply (zenon_L205_); trivial.
% 4.69/4.88 apply (zenon_L212_); trivial.
% 4.69/4.88 (* end of lemma zenon_L213_ *)
% 4.69/4.88 assert (zenon_L214_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1ba zenon_H38 zenon_Hc3 zenon_H1ab zenon_H41 zenon_H19a zenon_H122 zenon_H5b zenon_H11f zenon_H1e zenon_H1f zenon_H1d zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H118 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_H82 zenon_Hac zenon_H137 zenon_H94 zenon_Hd0 zenon_H100 zenon_H36 zenon_H132 zenon_H7b zenon_H114 zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H2c zenon_H28 zenon_H101 zenon_Hef zenon_H198 zenon_H7c zenon_H186 zenon_H4c zenon_H4d zenon_H4b zenon_H104 zenon_H194 zenon_Hf6 zenon_H195 zenon_H18f zenon_H20 zenon_H19b.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H29 | zenon_intro zenon_H179 ].
% 4.69/4.88 apply (zenon_L161_); trivial.
% 4.69/4.88 apply (zenon_L194_); trivial.
% 4.69/4.88 (* end of lemma zenon_L214_ *)
% 4.69/4.88 assert (zenon_L215_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1b6 zenon_H19b zenon_H20 zenon_H18f zenon_H195 zenon_Hf6 zenon_H194 zenon_H104 zenon_H4b zenon_H4d zenon_H186 zenon_H7c zenon_H198 zenon_Hef zenon_H101 zenon_H28 zenon_H2c zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H36 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H1d zenon_H1f zenon_H1e zenon_H11f zenon_H5b zenon_H122 zenon_H19a zenon_H1ba zenon_H38 zenon_H1ab zenon_H41 zenon_H1bb.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H29 | zenon_intro zenon_Hc3 ].
% 4.69/4.88 apply (zenon_L161_); trivial.
% 4.69/4.88 apply (zenon_L214_); trivial.
% 4.69/4.88 apply (zenon_L138_); trivial.
% 4.69/4.88 (* end of lemma zenon_L215_ *)
% 4.69/4.88 assert (zenon_L216_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1bd zenon_H1bb zenon_H1bc zenon_H19c zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H38 zenon_H33 zenon_H1d zenon_H11e zenon_H1b9 zenon_H1b7 zenon_H1ab zenon_H1b6 zenon_H1b8 zenon_H19d zenon_Hc3 zenon_H1a7 zenon_H1ba.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H4c | zenon_intro zenon_H37 ].
% 4.69/4.88 apply (zenon_L205_); trivial.
% 4.69/4.88 apply (zenon_L212_); trivial.
% 4.69/4.88 (* end of lemma zenon_L216_ *)
% 4.69/4.88 assert (zenon_L217_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1b6 zenon_H19b zenon_H20 zenon_H18f zenon_H195 zenon_Hf6 zenon_H194 zenon_H104 zenon_H4b zenon_H4d zenon_H186 zenon_H7c zenon_H198 zenon_Hef zenon_H101 zenon_H28 zenon_H2c zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H36 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H1d zenon_H1f zenon_H1e zenon_H11f zenon_H5b zenon_H122 zenon_H19a zenon_H41 zenon_H1ab zenon_Hc3 zenon_H38 zenon_H1ba.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.88 apply (zenon_L214_); trivial.
% 4.69/4.88 apply (zenon_L73_); trivial.
% 4.69/4.88 (* end of lemma zenon_L217_ *)
% 4.69/4.88 assert (zenon_L218_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1be zenon_H1bf zenon_H1bb zenon_H41 zenon_H1ab zenon_H38 zenon_H1ba zenon_H19a zenon_H122 zenon_H5b zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H118 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_H82 zenon_Hac zenon_H137 zenon_H94 zenon_Hd0 zenon_H100 zenon_H36 zenon_H132 zenon_H7b zenon_H114 zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H101 zenon_Hef zenon_H198 zenon_H186 zenon_H4d zenon_H4b zenon_H104 zenon_H194 zenon_Hf6 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1e zenon_H1f zenon_H20 zenon_H1d.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ].
% 4.69/4.88 apply (zenon_L1_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.69/4.88 apply (zenon_L215_); trivial.
% 4.69/4.88 apply (zenon_L73_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.69/4.88 apply (zenon_L217_); trivial.
% 4.69/4.88 apply (zenon_L138_); trivial.
% 4.69/4.88 apply (zenon_L195_); trivial.
% 4.69/4.88 (* end of lemma zenon_L218_ *)
% 4.69/4.88 assert (zenon_L219_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H41 zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H5b zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H118 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_H82 zenon_Hac zenon_H137 zenon_H94 zenon_Hd0 zenon_H100 zenon_H36 zenon_H132 zenon_H7b zenon_H114 zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H101 zenon_Hef zenon_H198 zenon_H186 zenon_H4b zenon_H104 zenon_H194 zenon_Hf6 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1e zenon_H1f zenon_H20 zenon_H1d.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H21 | zenon_intro zenon_H38 ].
% 4.69/4.88 apply (zenon_L1_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H21 | zenon_intro zenon_H4d ].
% 4.69/4.88 apply (zenon_L1_); trivial.
% 4.69/4.88 apply (zenon_L218_); trivial.
% 4.69/4.88 (* end of lemma zenon_L219_ *)
% 4.69/4.88 assert (zenon_L220_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1b7 zenon_H1d zenon_H20 zenon_H1f zenon_H1e zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_Hf6 zenon_H194 zenon_H104 zenon_H4b zenon_H186 zenon_H198 zenon_Hef zenon_H101 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H5b zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H41 zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H36 | zenon_intro zenon_H36 ].
% 4.69/4.88 apply (zenon_L219_); trivial.
% 4.69/4.88 apply (zenon_L219_); trivial.
% 4.69/4.88 (* end of lemma zenon_L220_ *)
% 4.69/4.88 assert (zenon_L221_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H177 zenon_H1b7 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H37 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H173 zenon_H174 zenon_H176 zenon_H1d zenon_H1f zenon_H1e zenon_H11f zenon_Hb4 zenon_H5b zenon_H122.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H20 | zenon_intro zenon_H4c ].
% 4.69/4.88 apply (zenon_L74_); trivial.
% 4.69/4.88 apply (zenon_L209_); trivial.
% 4.69/4.88 (* end of lemma zenon_L221_ *)
% 4.69/4.88 assert (zenon_L222_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H118 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_H82 zenon_Hac zenon_H137 zenon_H94 zenon_Hd0 zenon_H100 zenon_H132 zenon_H7b zenon_H114 zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H1b7 zenon_H177 zenon_H1d zenon_H1f zenon_H1e zenon_H11f zenon_Hb4 zenon_H5b zenon_H122.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H20 | zenon_intro zenon_H37 ].
% 4.69/4.88 apply (zenon_L74_); trivial.
% 4.69/4.88 apply (zenon_L221_); trivial.
% 4.69/4.88 (* end of lemma zenon_L222_ *)
% 4.69/4.88 assert (zenon_L223_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1c3 zenon_H1d zenon_H1f zenon_H1e zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_Hf6 zenon_H194 zenon_H4b zenon_H186 zenon_H198 zenon_Hef zenon_H101 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H5b zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H41 zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H20 | zenon_intro zenon_Hb4 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.69/4.88 apply (zenon_L1_); trivial.
% 4.69/4.88 apply (zenon_L220_); trivial.
% 4.69/4.88 apply (zenon_L222_); trivial.
% 4.69/4.88 (* end of lemma zenon_L223_ *)
% 4.69/4.88 assert (zenon_L224_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H175 zenon_H176 zenon_H173 zenon_H170 zenon_H16b zenon_H16c zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H36 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H1d zenon_H1f zenon_H1e zenon_H11f zenon_Hb4 zenon_H5b zenon_H122.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H20 | zenon_intro zenon_H37 ].
% 4.69/4.88 apply (zenon_L74_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H20 | zenon_intro zenon_H4c ].
% 4.69/4.88 apply (zenon_L74_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H20 | zenon_intro zenon_H76 ].
% 4.69/4.88 apply (zenon_L74_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.69/4.88 apply (zenon_L109_); trivial.
% 4.69/4.88 apply (zenon_L131_); trivial.
% 4.69/4.88 apply (zenon_L73_); trivial.
% 4.69/4.88 apply (zenon_L131_); trivial.
% 4.69/4.88 apply (zenon_L73_); trivial.
% 4.69/4.88 (* end of lemma zenon_L224_ *)
% 4.69/4.88 assert (zenon_L225_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1bf zenon_H1ba zenon_H1d zenon_H20 zenon_H5b zenon_Hb9 zenon_H137 zenon_H18f zenon_H82 zenon_H9d zenon_H103 zenon_Hfd zenon_Hf6 zenon_H194 zenon_H54 zenon_H100 zenon_H104 zenon_H4b zenon_H4d zenon_H16c zenon_H13c zenon_H186 zenon_H7c zenon_H198 zenon_H36 zenon_Hef zenon_H28 zenon_H2c zenon_H101 zenon_H118 zenon_H1e zenon_H11f zenon_H19a zenon_H175 zenon_H176 zenon_H173 zenon_H170 zenon_H16b zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_Hd0 zenon_H94 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_Haf zenon_Hb3 zenon_H12e zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H1f zenon_H122 zenon_H1b6.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H29 | zenon_intro zenon_H179 ].
% 4.69/4.88 apply (zenon_L160_); trivial.
% 4.69/4.88 apply (zenon_L193_); trivial.
% 4.69/4.88 apply (zenon_L224_); trivial.
% 4.69/4.88 apply (zenon_L73_); trivial.
% 4.69/4.88 (* end of lemma zenon_L225_ *)
% 4.69/4.88 assert (zenon_L226_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1b6 zenon_H122 zenon_H5b zenon_H11f zenon_H1e zenon_H1f zenon_H1d zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H118 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_H82 zenon_Hac zenon_H137 zenon_H94 zenon_Hd0 zenon_H100 zenon_H36 zenon_H132 zenon_H7b zenon_H114 zenon_H152 zenon_H16b zenon_H170 zenon_H173 zenon_H176 zenon_H175 zenon_H179 zenon_H16c zenon_H4d zenon_H4b.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.88 apply (zenon_L193_); trivial.
% 4.69/4.88 apply (zenon_L224_); trivial.
% 4.69/4.88 (* end of lemma zenon_L226_ *)
% 4.69/4.88 assert (zenon_L227_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H7b zenon_H7c zenon_H36 zenon_H195 zenon_H135.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.69/4.88 exact (zenon_H7c zenon_H7e).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.69/4.88 exact (zenon_H36 zenon_H3e).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.69/4.88 exact (zenon_H195 zenon_H47).
% 4.69/4.88 exact (zenon_H135 zenon_H71).
% 4.69/4.88 (* end of lemma zenon_L227_ *)
% 4.69/4.88 assert (zenon_L228_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H28 zenon_Hef zenon_H36 zenon_H198 zenon_H7c zenon_H186 zenon_H29 zenon_H13c zenon_H16c zenon_H4c zenon_H4d zenon_H4b zenon_H104 zenon_H100 zenon_H54 zenon_H194 zenon_Hf6 zenon_H195 zenon_Hfd zenon_H103 zenon_H9d zenon_H82 zenon_H2b zenon_H18f zenon_H137 zenon_Hb9 zenon_H5b zenon_H20 zenon_H1d.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H2c | zenon_intro zenon_H2c ].
% 4.69/4.88 apply (zenon_L159_); trivial.
% 4.69/4.88 apply (zenon_L159_); trivial.
% 4.69/4.88 (* end of lemma zenon_L228_ *)
% 4.69/4.88 assert (zenon_L229_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H1c5 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H54 zenon_H100 zenon_H4b zenon_H4c zenon_H186 zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H29 zenon_H13c zenon_H2b zenon_H28 zenon_Hef zenon_H103 zenon_H195 zenon_H16c zenon_Hf6 zenon_H194 zenon_H198 zenon_H104 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H2c | zenon_intro zenon_H4d ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.88 exact (zenon_H1e zenon_H23).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.88 exact (zenon_H5b zenon_H5a).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.88 apply (zenon_L92_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.88 apply (zenon_L88_); trivial.
% 4.69/4.88 apply (zenon_L157_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.88 exact (zenon_H20 zenon_H27).
% 4.69/4.88 exact (zenon_H21 zenon_H26).
% 4.69/4.88 apply (zenon_L228_); trivial.
% 4.69/4.88 (* end of lemma zenon_L229_ *)
% 4.69/4.88 assert (zenon_L230_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H113 zenon_Hb0 zenon_H79.
% 4.69/4.88 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 4.69/4.88 intro zenon_D_pnotp.
% 4.69/4.88 apply zenon_H113.
% 4.69/4.88 rewrite <- zenon_D_pnotp.
% 4.69/4.88 exact zenon_Hb0.
% 4.69/4.88 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 4.69/4.88 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.69/4.88 congruence.
% 4.69/4.88 apply zenon_Hb2. apply refl_equal.
% 4.69/4.88 apply zenon_H1aa. apply sym_equal. exact zenon_H79.
% 4.69/4.88 (* end of lemma zenon_L230_ *)
% 4.69/4.88 assert (zenon_L231_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H103 zenon_Hb0 zenon_H113 zenon_H85 zenon_H9d zenon_H12e zenon_H54 zenon_H25 zenon_Hfd zenon_H92 zenon_H87 zenon_H13c.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H8a | zenon_intro zenon_H12f ].
% 4.69/4.88 apply (zenon_L79_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H130 ].
% 4.69/4.88 apply (zenon_L81_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H81 | zenon_intro zenon_H79 ].
% 4.69/4.88 exact (zenon_H85 zenon_H81).
% 4.69/4.88 apply (zenon_L230_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.88 apply (zenon_L94_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.88 apply (zenon_L62_); trivial.
% 4.69/4.88 apply (zenon_L95_); trivial.
% 4.69/4.88 (* end of lemma zenon_L231_ *)
% 4.69/4.88 assert (zenon_L232_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H7b zenon_H9d zenon_Ha1 zenon_H36 zenon_H195 zenon_H135.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.69/4.88 apply (zenon_L118_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.69/4.88 exact (zenon_H36 zenon_H3e).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.69/4.88 exact (zenon_H195 zenon_H47).
% 4.69/4.88 exact (zenon_H135 zenon_H71).
% 4.69/4.88 (* end of lemma zenon_L232_ *)
% 4.69/4.88 assert (zenon_L233_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H135 zenon_H195 zenon_H36 zenon_H7b zenon_H82 zenon_H42 zenon_H123 zenon_H9d.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.69/4.88 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.69/4.88 apply (zenon_L232_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.69/4.88 apply (zenon_L31_); trivial.
% 4.69/4.88 apply (zenon_L77_); trivial.
% 4.69/4.88 (* end of lemma zenon_L233_ *)
% 4.69/4.88 assert (zenon_L234_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H28 zenon_H54 zenon_Hbd zenon_H13c zenon_Hfa zenon_H2b zenon_H2c.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 4.69/4.88 apply (zenon_L187_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 4.69/4.88 apply (zenon_L153_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 4.69/4.88 exact (zenon_H2b zenon_H32).
% 4.69/4.88 exact (zenon_H2c zenon_H31).
% 4.69/4.88 (* end of lemma zenon_L234_ *)
% 4.69/4.88 assert (zenon_L235_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H101 zenon_Hb9 zenon_H25 zenon_H36 zenon_Hf0 zenon_Hef zenon_H28 zenon_H54 zenon_Hbd zenon_H13c zenon_H2b zenon_H2c.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H9c | zenon_intro zenon_H10a ].
% 4.69/4.88 apply (zenon_L92_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H3e | zenon_intro zenon_H10b ].
% 4.69/4.88 exact (zenon_H36 zenon_H3e).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hfa ].
% 4.69/4.88 apply (zenon_L54_); trivial.
% 4.69/4.88 apply (zenon_L234_); trivial.
% 4.69/4.88 (* end of lemma zenon_L235_ *)
% 4.69/4.88 assert (zenon_L236_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H137 zenon_H5b zenon_H7c zenon_H2c zenon_H2b zenon_H13c zenon_H54 zenon_H28 zenon_Hef zenon_H36 zenon_H25 zenon_H101 zenon_Hbd zenon_Hb9.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.88 exact (zenon_H5b zenon_H5a).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.88 exact (zenon_H7c zenon_H7e).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.88 apply (zenon_L235_); trivial.
% 4.69/4.88 apply (zenon_L86_); trivial.
% 4.69/4.88 (* end of lemma zenon_L236_ *)
% 4.69/4.88 assert (zenon_L237_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H132 zenon_H92 zenon_Ha2.
% 4.69/4.88 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 4.69/4.88 intro zenon_D_pnotp.
% 4.69/4.88 apply zenon_H132.
% 4.69/4.88 rewrite <- zenon_D_pnotp.
% 4.69/4.88 exact zenon_H92.
% 4.69/4.88 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 4.69/4.88 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 4.69/4.88 congruence.
% 4.69/4.88 apply zenon_H134. apply refl_equal.
% 4.69/4.88 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2.
% 4.69/4.88 (* end of lemma zenon_L237_ *)
% 4.69/4.88 assert (zenon_L238_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 4.69/4.88 do 0 intro. intros zenon_H103 zenon_H132 zenon_H37 zenon_H7e zenon_H9d zenon_H165 zenon_H54 zenon_H25 zenon_Hfd zenon_H92 zenon_H87 zenon_H13c.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H167 ].
% 4.69/4.88 apply (zenon_L118_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H40 | zenon_intro zenon_H168 ].
% 4.69/4.88 exact (zenon_H37 zenon_H40).
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hd8 ].
% 4.69/4.88 apply (zenon_L237_); trivial.
% 4.69/4.88 apply (zenon_L81_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.88 apply (zenon_L94_); trivial.
% 4.69/4.88 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.88 apply (zenon_L62_); trivial.
% 4.69/4.88 apply (zenon_L95_); trivial.
% 4.69/4.88 (* end of lemma zenon_L238_ *)
% 4.69/4.88 assert (zenon_L239_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H100 zenon_Hb4 zenon_H82 zenon_H135 zenon_H195 zenon_H36 zenon_H103 zenon_H132 zenon_H37 zenon_H165 zenon_H54 zenon_H25 zenon_Hfd zenon_H13c zenon_H7b zenon_H87 zenon_H9d.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.89 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.89 apply (zenon_L148_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.69/4.89 apply (zenon_L238_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.69/4.89 exact (zenon_H36 zenon_H3e).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.69/4.89 exact (zenon_H195 zenon_H47).
% 4.69/4.89 exact (zenon_H135 zenon_H71).
% 4.69/4.89 apply (zenon_L79_); trivial.
% 4.69/4.89 (* end of lemma zenon_L239_ *)
% 4.69/4.89 assert (zenon_L240_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H1d zenon_H1e zenon_H9d zenon_H7b zenon_H13c zenon_Hfd zenon_H54 zenon_H165 zenon_H37 zenon_H132 zenon_H103 zenon_H36 zenon_H195 zenon_H135 zenon_H82 zenon_Hb4 zenon_H100 zenon_H7c zenon_Hb9 zenon_H5b zenon_H118 zenon_H20 zenon_H21.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.89 exact (zenon_H1e zenon_H23).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.89 exact (zenon_H5b zenon_H5a).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.89 apply (zenon_L92_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.89 apply (zenon_L88_); trivial.
% 4.69/4.89 apply (zenon_L239_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.89 exact (zenon_H20 zenon_H27).
% 4.69/4.89 exact (zenon_H21 zenon_H26).
% 4.69/4.89 (* end of lemma zenon_L240_ *)
% 4.69/4.89 assert (zenon_L241_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H171 zenon_H11f zenon_H1e zenon_H118 zenon_Hb4 zenon_H82 zenon_H195 zenon_H165 zenon_H37 zenon_H9d zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H100 zenon_H7c zenon_H36 zenon_H132 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_L240_); trivial.
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 (* end of lemma zenon_L241_ *)
% 4.69/4.89 assert (zenon_L242_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H114 zenon_H1e zenon_H9d zenon_H95 zenon_H82 zenon_Hb4 zenon_Hb3 zenon_H100 zenon_H85 zenon_H4c zenon_Hd0 zenon_H94 zenon_Hdf zenon_H135 zenon_H13e zenon_H7c zenon_H5b zenon_H137 zenon_H70 zenon_H132 zenon_H27 zenon_Hc3 zenon_H1ab zenon_He9 zenon_H75 zenon_H113 zenon_H140 zenon_H76 zenon_H2c.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.69/4.89 exact (zenon_H1e zenon_H23).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.69/4.89 apply (zenon_L99_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.69/4.89 apply (zenon_L179_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.69/4.89 exact (zenon_Hc3 zenon_H3a).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.69/4.89 apply (zenon_L117_); trivial.
% 4.69/4.89 apply (zenon_L101_); trivial.
% 4.69/4.89 apply (zenon_L107_); trivial.
% 4.69/4.89 (* end of lemma zenon_L242_ *)
% 4.69/4.89 assert (zenon_L243_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_Hb4 zenon_H94 zenon_H85 zenon_H4c zenon_Hd0 zenon_H95 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H9d zenon_H76 zenon_H12e zenon_H100 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H114 zenon_H113 zenon_H1ab zenon_Hc3 zenon_H75 zenon_H70 zenon_He9 zenon_H13e zenon_H140 zenon_Hdf zenon_H82 zenon_Hb3 zenon_H137 zenon_H21 zenon_H1d.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.89 exact (zenon_H1e zenon_H23).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.89 apply (zenon_L96_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.89 apply (zenon_L242_); trivial.
% 4.69/4.89 exact (zenon_H21 zenon_H26).
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 (* end of lemma zenon_L243_ *)
% 4.69/4.89 assert (zenon_L244_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 4.69/4.89 do 0 intro. intros zenon_Hd0 zenon_H25 zenon_H1a1.
% 4.69/4.89 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_Hd0.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_H25.
% 4.69/4.89 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 4.69/4.89 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 4.69/4.89 congruence.
% 4.69/4.89 apply zenon_Hd3. apply refl_equal.
% 4.69/4.89 apply zenon_H1c6. apply sym_equal. exact zenon_H1a1.
% 4.69/4.89 (* end of lemma zenon_L244_ *)
% 4.69/4.89 assert (zenon_L245_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H12e zenon_H9d zenon_H87 zenon_Ha1 zenon_Hd7 zenon_H85 zenon_H76.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H8a | zenon_intro zenon_H12f ].
% 4.69/4.89 apply (zenon_L79_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H130 ].
% 4.69/4.89 apply (zenon_L43_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H81 | zenon_intro zenon_H79 ].
% 4.69/4.89 exact (zenon_H85 zenon_H81).
% 4.69/4.89 exact (zenon_H76 zenon_H79).
% 4.69/4.89 (* end of lemma zenon_L245_ *)
% 4.69/4.89 assert (zenon_L246_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_Hb3 zenon_Hb4 zenon_H76 zenon_H85 zenon_Hd7 zenon_H87 zenon_H12e zenon_H95 zenon_H123 zenon_H9d.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.69/4.89 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.69/4.89 apply (zenon_L245_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.69/4.89 exact (zenon_H95 zenon_H98).
% 4.69/4.89 apply (zenon_L77_); trivial.
% 4.69/4.89 (* end of lemma zenon_L246_ *)
% 4.69/4.89 assert (zenon_L247_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_H1c7 zenon_H142 zenon_H140 zenon_H76 zenon_H75 zenon_H179 zenon_Hd0 zenon_Hb3 zenon_H95 zenon_H9d zenon_Hd7 zenon_H85 zenon_H12e zenon_Hb4 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H114 zenon_H113 zenon_H1ab zenon_Hc3 zenon_H70 zenon_He9 zenon_H100 zenon_H13e zenon_Hdf zenon_H82 zenon_H4c zenon_H94 zenon_H21 zenon_H1d.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.89 exact (zenon_H1e zenon_H23).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.89 exact (zenon_H5b zenon_H5a).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.89 apply (zenon_L92_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.89 apply (zenon_L88_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.89 exact (zenon_H5b zenon_H5a).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.89 exact (zenon_H7c zenon_H7e).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H42 | zenon_intro zenon_H1c8 ].
% 4.69/4.89 apply (zenon_L100_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1c9 ].
% 4.69/4.89 apply (zenon_L244_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H43 | zenon_intro zenon_H80 ].
% 4.69/4.89 exact (zenon_H179 zenon_H43).
% 4.69/4.89 apply (zenon_L103_); trivial.
% 4.69/4.89 apply (zenon_L246_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.89 apply (zenon_L242_); trivial.
% 4.69/4.89 exact (zenon_H21 zenon_H26).
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 (* end of lemma zenon_L247_ *)
% 4.69/4.89 assert (zenon_L248_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H170 zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_H1c7 zenon_H142 zenon_H140 zenon_H76 zenon_H75 zenon_H179 zenon_Hd0 zenon_Hb3 zenon_H9d zenon_Hd7 zenon_H12e zenon_Hb4 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H114 zenon_H113 zenon_H1ab zenon_Hc3 zenon_H70 zenon_He9 zenon_H100 zenon_H13e zenon_Hdf zenon_H82 zenon_H4c zenon_H94 zenon_H21 zenon_H1d zenon_H152.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_L247_); trivial.
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 apply (zenon_L130_); trivial.
% 4.69/4.89 (* end of lemma zenon_L248_ *)
% 4.69/4.89 assert (zenon_L249_ : ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H1ca zenon_Hd7 zenon_H142 zenon_H1c7 zenon_H170 zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H9d zenon_H76 zenon_H12e zenon_H100 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H114 zenon_H113 zenon_H1ab zenon_Hc3 zenon_H75 zenon_H70 zenon_He9 zenon_H13e zenon_H140 zenon_Hdf zenon_H82 zenon_Hb3 zenon_H137 zenon_H21 zenon_H1d zenon_H152.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H95 | zenon_intro zenon_H179 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_L243_); trivial.
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 apply (zenon_L248_); trivial.
% 4.69/4.89 (* end of lemma zenon_L249_ *)
% 4.69/4.89 assert (zenon_L250_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H171 zenon_H152 zenon_H1d zenon_H137 zenon_Hb3 zenon_H82 zenon_Hdf zenon_H140 zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H21 zenon_H113 zenon_H114 zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H7c zenon_H100 zenon_H12e zenon_H76 zenon_H9d zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_Hd0 zenon_H4c zenon_H94 zenon_Hb4 zenon_H118 zenon_H1e zenon_H11f zenon_H153 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.69/4.89 apply (zenon_L108_); trivial.
% 4.69/4.89 apply (zenon_L249_); trivial.
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 (* end of lemma zenon_L250_ *)
% 4.69/4.89 assert (zenon_L251_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H6c zenon_H8a zenon_H79.
% 4.69/4.89 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H6c.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_H8a.
% 4.69/4.89 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 4.69/4.89 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.69/4.89 congruence.
% 4.69/4.89 apply zenon_H6f. apply refl_equal.
% 4.69/4.89 apply zenon_H1aa. apply sym_equal. exact zenon_H79.
% 4.69/4.89 (* end of lemma zenon_L251_ *)
% 4.69/4.89 assert (zenon_L252_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H75 zenon_H145 zenon_H140 zenon_H8a zenon_H6c zenon_H2c.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.69/4.89 exact (zenon_H145 zenon_H6d).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.69/4.89 exact (zenon_H140 zenon_H72).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.69/4.89 apply (zenon_L251_); trivial.
% 4.69/4.89 exact (zenon_H2c zenon_H31).
% 4.69/4.89 (* end of lemma zenon_L252_ *)
% 4.69/4.89 assert (zenon_L253_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H100 zenon_Hb4 zenon_H82 zenon_H25 zenon_H9d zenon_Hb8 zenon_H75 zenon_H145 zenon_H140 zenon_H6c zenon_H2c.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.89 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.89 apply (zenon_L148_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.89 apply (zenon_L149_); trivial.
% 4.69/4.89 apply (zenon_L252_); trivial.
% 4.69/4.89 (* end of lemma zenon_L253_ *)
% 4.69/4.89 assert (zenon_L254_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_H7b zenon_H135 zenon_H195 zenon_H36 zenon_H165 zenon_H132 zenon_H37 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_Hb4 zenon_H82 zenon_H9d zenon_H75 zenon_H6c zenon_H140 zenon_H145 zenon_H100 zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.89 exact (zenon_H1e zenon_H23).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.89 exact (zenon_H5b zenon_H5a).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.89 apply (zenon_L92_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.89 apply (zenon_L253_); trivial.
% 4.69/4.89 apply (zenon_L239_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.89 exact (zenon_H20 zenon_H27).
% 4.69/4.89 exact (zenon_H21 zenon_H26).
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 (* end of lemma zenon_L254_ *)
% 4.69/4.89 assert (zenon_L255_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H1cb zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_H7b zenon_H36 zenon_H165 zenon_H132 zenon_H37 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_Hb4 zenon_H82 zenon_H9d zenon_H75 zenon_H6c zenon_H140 zenon_H145 zenon_H100 zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H171.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H195 | zenon_intro zenon_H76 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_L254_); trivial.
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 apply (zenon_L130_); trivial.
% 4.69/4.89 (* end of lemma zenon_L255_ *)
% 4.69/4.89 assert (zenon_L256_ : ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H173 zenon_H6c zenon_H171 zenon_H11f zenon_H1e zenon_H118 zenon_Hb4 zenon_H82 zenon_H165 zenon_H37 zenon_H9d zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H100 zenon_H36 zenon_H132 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H152 zenon_H137 zenon_Hb3 zenon_Hdf zenon_H140 zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H114 zenon_H12e zenon_Hd0 zenon_H4c zenon_H94 zenon_H153 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H195 | zenon_intro zenon_H76 ].
% 4.69/4.89 apply (zenon_L241_); trivial.
% 4.69/4.89 apply (zenon_L250_); trivial.
% 4.69/4.89 apply (zenon_L255_); trivial.
% 4.69/4.89 (* end of lemma zenon_L256_ *)
% 4.69/4.89 assert (zenon_L257_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H153 zenon_H94 zenon_Hd0 zenon_H12e zenon_H114 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_H140 zenon_Hdf zenon_Hb3 zenon_H137 zenon_H152 zenon_H6c zenon_H173 zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H7c zenon_H100 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H9d zenon_H37 zenon_H165 zenon_H82 zenon_Hb4 zenon_H118 zenon_H1e zenon_H11f zenon_H171.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H195 | zenon_intro zenon_H4c ].
% 4.69/4.89 apply (zenon_L241_); trivial.
% 4.69/4.89 apply (zenon_L256_); trivial.
% 4.69/4.89 (* end of lemma zenon_L257_ *)
% 4.69/4.89 assert (zenon_L258_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H171 zenon_H11f zenon_H1e zenon_H118 zenon_Hb4 zenon_H82 zenon_H165 zenon_H37 zenon_H9d zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H100 zenon_H36 zenon_H132 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H173 zenon_H6c zenon_H152 zenon_H137 zenon_Hb3 zenon_Hdf zenon_H140 zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H114 zenon_H12e zenon_Hd0 zenon_H94 zenon_H153 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.69/4.89 apply (zenon_L257_); trivial.
% 4.69/4.89 apply (zenon_L255_); trivial.
% 4.69/4.89 (* end of lemma zenon_L258_ *)
% 4.69/4.89 assert (zenon_L259_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H1d zenon_H21 zenon_H20 zenon_H118 zenon_H100 zenon_H13e zenon_H140 zenon_Hdf zenon_H95 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H9d zenon_H85 zenon_H113 zenon_H12e zenon_Hb3 zenon_H82 zenon_Hb4 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H195 zenon_Hef zenon_H28 zenon_H101 zenon_H114 zenon_H1e zenon_H11f zenon_H153.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H2b | zenon_intro zenon_H37 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.89 exact (zenon_H1e zenon_H23).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.69/4.89 exact (zenon_H1e zenon_H23).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.89 exact (zenon_H5b zenon_H5a).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.89 apply (zenon_L92_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.89 apply (zenon_L88_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.89 exact (zenon_H5b zenon_H5a).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.89 exact (zenon_H7c zenon_H7e).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.89 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.89 apply (zenon_L148_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.69/4.89 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.69/4.89 apply (zenon_L52_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.69/4.89 exact (zenon_H95 zenon_H98).
% 4.69/4.89 apply (zenon_L231_); trivial.
% 4.69/4.89 apply (zenon_L98_); trivial.
% 4.69/4.89 apply (zenon_L78_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.89 exact (zenon_H5b zenon_H5a).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.89 exact (zenon_H7c zenon_H7e).
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.89 apply (zenon_L100_); trivial.
% 4.69/4.89 apply (zenon_L233_); trivial.
% 4.69/4.89 apply (zenon_L236_); trivial.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.89 exact (zenon_H20 zenon_H27).
% 4.69/4.89 exact (zenon_H21 zenon_H26).
% 4.69/4.89 apply (zenon_L73_); trivial.
% 4.69/4.89 apply (zenon_L258_); trivial.
% 4.69/4.89 (* end of lemma zenon_L259_ *)
% 4.69/4.89 assert (zenon_L260_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_H85 zenon_H95 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H195 zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H29 zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4c zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5.
% 4.69/4.89 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.89 apply (zenon_L229_); trivial.
% 4.69/4.89 apply (zenon_L259_); trivial.
% 4.69/4.89 (* end of lemma zenon_L260_ *)
% 4.69/4.89 assert (zenon_L261_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H198 zenon_H25 zenon_H10e.
% 4.69/4.89 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H198.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_H25.
% 4.69/4.89 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 4.69/4.89 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 4.69/4.89 congruence.
% 4.69/4.89 apply zenon_Hd3. apply refl_equal.
% 4.69/4.89 apply zenon_H10f. apply sym_equal. exact zenon_H10e.
% 4.69/4.89 (* end of lemma zenon_L261_ *)
% 4.69/4.89 assert (zenon_L262_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H1cd zenon_H79.
% 4.69/4.89 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 4.69/4.89 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.69/4.89 congruence.
% 4.69/4.89 apply zenon_H56. apply refl_equal.
% 4.69/4.89 exact (zenon_H76 zenon_H79).
% 4.69/4.89 (* end of lemma zenon_L262_ *)
% 4.69/4.89 assert (zenon_L263_ : (~((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e0) (e2)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e0)) -> False).
% 4.69/4.89 do 0 intro. intros zenon_H1ce zenon_H79 zenon_Hf7.
% 4.69/4.89 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 4.69/4.89 congruence.
% 4.69/4.89 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H1cf.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_Hf7.
% 4.69/4.89 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.89 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 4.69/4.89 congruence.
% 4.69/4.89 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H1d0.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_H149.
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cd].
% 4.69/4.89 congruence.
% 4.69/4.89 apply (zenon_L262_); trivial.
% 4.69/4.89 apply zenon_H14a. apply refl_equal.
% 4.69/4.89 apply zenon_H14a. apply refl_equal.
% 4.69/4.89 apply zenon_H52. apply refl_equal.
% 4.69/4.89 exact (zenon_H76 zenon_H79).
% 4.69/4.89 (* end of lemma zenon_L263_ *)
% 4.69/4.89 assert (zenon_L264_ : ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> False).
% 4.69/4.89 do 0 intro. intros zenon_Hb8 zenon_Hf7 zenon_H79.
% 4.69/4.89 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1d1 ].
% 4.69/4.89 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H1d2.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_H149.
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 4.69/4.89 congruence.
% 4.69/4.89 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H1cf.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_Hf7.
% 4.69/4.89 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.89 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 4.69/4.89 congruence.
% 4.69/4.89 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H1d0.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_H149.
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.69/4.89 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cd].
% 4.69/4.89 congruence.
% 4.69/4.89 apply (zenon_L262_); trivial.
% 4.69/4.89 apply zenon_H14a. apply refl_equal.
% 4.69/4.89 apply zenon_H14a. apply refl_equal.
% 4.69/4.89 apply zenon_H52. apply refl_equal.
% 4.69/4.89 apply zenon_H14a. apply refl_equal.
% 4.69/4.89 apply zenon_H14a. apply refl_equal.
% 4.69/4.89 apply (zenon_notand_s _ _ zenon_H1d1); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1d3 ].
% 4.69/4.89 apply zenon_H1aa. apply sym_equal. exact zenon_H79.
% 4.69/4.89 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14e | zenon_intro zenon_H14f ].
% 4.69/4.89 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H1d3.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_H14e.
% 4.69/4.89 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 4.69/4.89 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 4.69/4.89 congruence.
% 4.69/4.89 cut (((op (e0) (e2)) = (e1)) = ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e1))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H1d4.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_Hb8.
% 4.69/4.89 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.89 cut (((op (e0) (e2)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 4.69/4.89 congruence.
% 4.69/4.89 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14e | zenon_intro zenon_H14f ].
% 4.69/4.89 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((op (e0) (e2)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))).
% 4.69/4.89 intro zenon_D_pnotp.
% 4.69/4.89 apply zenon_H1d5.
% 4.69/4.89 rewrite <- zenon_D_pnotp.
% 4.69/4.89 exact zenon_H14e.
% 4.69/4.89 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 4.69/4.89 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 4.69/4.89 congruence.
% 4.69/4.89 apply (zenon_L263_); trivial.
% 4.69/4.89 apply zenon_H14f. apply refl_equal.
% 4.69/4.89 apply zenon_H14f. apply refl_equal.
% 4.69/4.89 apply zenon_H9b. apply refl_equal.
% 4.69/4.89 apply zenon_H14f. apply refl_equal.
% 4.69/4.89 apply zenon_H14f. apply refl_equal.
% 4.69/4.89 (* end of lemma zenon_L264_ *)
% 4.69/4.89 assert (zenon_L265_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H75 zenon_H145 zenon_H140 zenon_Hf7 zenon_Hb8 zenon_H2c.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.69/4.90 exact (zenon_H145 zenon_H6d).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.69/4.90 exact (zenon_H140 zenon_H72).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.69/4.90 apply (zenon_L264_); trivial.
% 4.69/4.90 exact (zenon_H2c zenon_H31).
% 4.69/4.90 (* end of lemma zenon_L265_ *)
% 4.69/4.90 assert (zenon_L266_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1d6 zenon_H50.
% 4.69/4.90 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 4.69/4.90 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.90 congruence.
% 4.69/4.90 apply zenon_H5c. apply refl_equal.
% 4.69/4.90 exact (zenon_H4d zenon_H50).
% 4.69/4.90 (* end of lemma zenon_L266_ *)
% 4.69/4.90 assert (zenon_L267_ : ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H87 zenon_H80 zenon_H50.
% 4.69/4.90 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1d7 ].
% 4.69/4.90 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1a5.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H17d.
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 4.69/4.90 congruence.
% 4.69/4.90 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1a2.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H80.
% 4.69/4.90 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.90 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 4.69/4.90 congruence.
% 4.69/4.90 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1d8.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H17d.
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 4.69/4.90 congruence.
% 4.69/4.90 apply (zenon_L266_); trivial.
% 4.69/4.90 apply zenon_H17e. apply refl_equal.
% 4.69/4.90 apply zenon_H17e. apply refl_equal.
% 4.69/4.90 apply zenon_H52. apply refl_equal.
% 4.69/4.90 apply zenon_H17e. apply refl_equal.
% 4.69/4.90 apply zenon_H17e. apply refl_equal.
% 4.69/4.90 apply (zenon_notand_s _ _ zenon_H1d7); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ].
% 4.69/4.90 apply zenon_H1da. apply sym_equal. exact zenon_H50.
% 4.69/4.90 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 4.69/4.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1d9.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H182.
% 4.69/4.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 4.69/4.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 4.69/4.90 congruence.
% 4.69/4.90 cut (((op (e0) (e3)) = (e1)) = ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e1))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1db.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H87.
% 4.69/4.90 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.90 cut (((op (e0) (e3)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1dc].
% 4.69/4.90 congruence.
% 4.69/4.90 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 4.69/4.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((op (e0) (e3)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1dc.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H182.
% 4.69/4.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 4.69/4.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1dd].
% 4.69/4.90 congruence.
% 4.69/4.90 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 4.69/4.90 congruence.
% 4.69/4.90 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1a2.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H80.
% 4.69/4.90 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.69/4.90 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 4.69/4.90 congruence.
% 4.69/4.90 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1d8.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H17d.
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 4.69/4.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 4.69/4.90 congruence.
% 4.69/4.90 apply (zenon_L266_); trivial.
% 4.69/4.90 apply zenon_H17e. apply refl_equal.
% 4.69/4.90 apply zenon_H17e. apply refl_equal.
% 4.69/4.90 apply zenon_H52. apply refl_equal.
% 4.69/4.90 exact (zenon_H4d zenon_H50).
% 4.69/4.90 apply zenon_H183. apply refl_equal.
% 4.69/4.90 apply zenon_H183. apply refl_equal.
% 4.69/4.90 apply zenon_H9b. apply refl_equal.
% 4.69/4.90 apply zenon_H183. apply refl_equal.
% 4.69/4.90 apply zenon_H183. apply refl_equal.
% 4.69/4.90 (* end of lemma zenon_L267_ *)
% 4.69/4.90 assert (zenon_L268_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H4b zenon_H179 zenon_H16c zenon_H4c zenon_H87 zenon_H80.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H43 | zenon_intro zenon_H4e ].
% 4.69/4.90 exact (zenon_H179 zenon_H43).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H48 | zenon_intro zenon_H4f ].
% 4.69/4.90 exact (zenon_H16c zenon_H48).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 4.69/4.90 exact (zenon_H4c zenon_H51).
% 4.69/4.90 apply (zenon_L267_); trivial.
% 4.69/4.90 (* end of lemma zenon_L268_ *)
% 4.69/4.90 assert (zenon_L269_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1c7 zenon_H1ab zenon_H34 zenon_H25 zenon_Hd0 zenon_H4b zenon_H179 zenon_H16c zenon_H4c zenon_H87.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H42 | zenon_intro zenon_H1c8 ].
% 4.69/4.90 apply (zenon_L179_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1c9 ].
% 4.69/4.90 apply (zenon_L244_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H43 | zenon_intro zenon_H80 ].
% 4.69/4.90 exact (zenon_H179 zenon_H43).
% 4.69/4.90 apply (zenon_L268_); trivial.
% 4.69/4.90 (* end of lemma zenon_L269_ *)
% 4.69/4.90 assert (zenon_L270_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_Hf1 zenon_H9a zenon_H9d.
% 4.69/4.90 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.69/4.90 cut (((e2) = (e2)) = ((e1) = (e2))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H9d.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H83.
% 4.69/4.90 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.69/4.90 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 4.69/4.90 congruence.
% 4.69/4.90 cut (((op (e2) (e1)) = (e1)) = ((e2) = (e1))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H9e.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_Hf1.
% 4.69/4.90 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 4.69/4.90 cut (((op (e2) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 4.69/4.90 congruence.
% 4.69/4.90 exact (zenon_H96 zenon_H9a).
% 4.69/4.90 apply zenon_H9b. apply refl_equal.
% 4.69/4.90 apply zenon_H5c. apply refl_equal.
% 4.69/4.90 apply zenon_H5c. apply refl_equal.
% 4.69/4.90 (* end of lemma zenon_L270_ *)
% 4.69/4.90 assert (zenon_L271_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H94 zenon_H82 zenon_H42 zenon_H9d zenon_Hf1 zenon_H4c zenon_H85.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.69/4.90 apply (zenon_L31_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.69/4.90 apply (zenon_L270_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.69/4.90 exact (zenon_H4c zenon_H51).
% 4.69/4.90 exact (zenon_H85 zenon_H81).
% 4.69/4.90 (* end of lemma zenon_L271_ *)
% 4.69/4.90 assert (zenon_L272_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1de zenon_H2b zenon_Hfa zenon_H13c zenon_H54 zenon_H28 zenon_H25 zenon_H198 zenon_H2c zenon_Hb8 zenon_H140 zenon_H75 zenon_H145.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1df ].
% 4.69/4.90 apply (zenon_L234_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H10e | zenon_intro zenon_H1e0 ].
% 4.69/4.90 apply (zenon_L261_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H6d ].
% 4.69/4.90 apply (zenon_L265_); trivial.
% 4.69/4.90 exact (zenon_H145 zenon_H6d).
% 4.69/4.90 (* end of lemma zenon_L272_ *)
% 4.69/4.90 assert (zenon_L273_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1c7 zenon_H82 zenon_H98 zenon_H25 zenon_Hd0 zenon_H4b zenon_H179 zenon_H16c zenon_H4c zenon_H87.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H42 | zenon_intro zenon_H1c8 ].
% 4.69/4.90 apply (zenon_L31_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1c9 ].
% 4.69/4.90 apply (zenon_L244_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H43 | zenon_intro zenon_H80 ].
% 4.69/4.90 exact (zenon_H179 zenon_H43).
% 4.69/4.90 apply (zenon_L268_); trivial.
% 4.69/4.90 (* end of lemma zenon_L273_ *)
% 4.69/4.90 assert (zenon_L274_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H94 zenon_H87 zenon_H16c zenon_H179 zenon_H4b zenon_Hd0 zenon_H25 zenon_H82 zenon_H1c7 zenon_H9d zenon_Hf1 zenon_H4c zenon_H85.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.69/4.90 apply (zenon_L273_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.69/4.90 apply (zenon_L270_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.69/4.90 exact (zenon_H4c zenon_H51).
% 4.69/4.90 exact (zenon_H85 zenon_H81).
% 4.69/4.90 (* end of lemma zenon_L274_ *)
% 4.69/4.90 assert (zenon_L275_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H89 zenon_H87 zenon_Hd5.
% 4.69/4.90 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H89.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H87.
% 4.69/4.90 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 4.69/4.90 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.69/4.90 congruence.
% 4.69/4.90 apply zenon_H6f. apply refl_equal.
% 4.69/4.90 apply zenon_H13f. apply sym_equal. exact zenon_Hd5.
% 4.69/4.90 (* end of lemma zenon_L275_ *)
% 4.69/4.90 assert (zenon_L276_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H16b zenon_Hb9 zenon_H42 zenon_H85 zenon_H4c zenon_H9d zenon_H1c7 zenon_H82 zenon_H25 zenon_Hd0 zenon_H4b zenon_H179 zenon_H94 zenon_H16c zenon_H89 zenon_H87.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H16d ].
% 4.69/4.90 apply (zenon_L100_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H16e ].
% 4.69/4.90 apply (zenon_L274_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H48 | zenon_intro zenon_Hd5 ].
% 4.69/4.90 exact (zenon_H16c zenon_H48).
% 4.69/4.90 apply (zenon_L275_); trivial.
% 4.69/4.90 (* end of lemma zenon_L276_ *)
% 4.69/4.90 assert (zenon_L277_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1e1 zenon_Hb8 zenon_H192.
% 4.69/4.90 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H1e1.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_Hb8.
% 4.69/4.90 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 4.69/4.90 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 4.69/4.90 congruence.
% 4.69/4.90 apply zenon_H134. apply refl_equal.
% 4.69/4.90 apply zenon_H193. apply sym_equal. exact zenon_H192.
% 4.69/4.90 (* end of lemma zenon_L277_ *)
% 4.69/4.90 assert (zenon_L278_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1e2 zenon_Hb9 zenon_H2c zenon_H2b zenon_H13c zenon_Hbd zenon_H54 zenon_H28 zenon_Hb8 zenon_H1e1 zenon_H140.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e3 ].
% 4.69/4.90 apply (zenon_L86_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1e4 ].
% 4.69/4.90 apply (zenon_L234_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H192 | zenon_intro zenon_H72 ].
% 4.69/4.90 apply (zenon_L277_); trivial.
% 4.69/4.90 exact (zenon_H140 zenon_H72).
% 4.69/4.90 (* end of lemma zenon_L278_ *)
% 4.69/4.90 assert (zenon_L279_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H118 zenon_H5b zenon_H140 zenon_H1e1 zenon_H1e2 zenon_H101 zenon_Hb9 zenon_H36 zenon_H85 zenon_H4c zenon_H9d zenon_H1c7 zenon_H82 zenon_H25 zenon_Hd0 zenon_H4b zenon_H179 zenon_H16c zenon_H94 zenon_H28 zenon_H54 zenon_Hbd zenon_H13c zenon_H2b zenon_H2c.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.90 exact (zenon_H5b zenon_H5a).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.90 apply (zenon_L92_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.90 apply (zenon_L278_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H9c | zenon_intro zenon_H10a ].
% 4.69/4.90 apply (zenon_L92_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H3e | zenon_intro zenon_H10b ].
% 4.69/4.90 exact (zenon_H36 zenon_H3e).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hfa ].
% 4.69/4.90 apply (zenon_L274_); trivial.
% 4.69/4.90 apply (zenon_L234_); trivial.
% 4.69/4.90 (* end of lemma zenon_L279_ *)
% 4.69/4.90 assert (zenon_L280_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1d zenon_H2c zenon_H2b zenon_H13c zenon_H54 zenon_H28 zenon_H94 zenon_H16c zenon_H179 zenon_H4b zenon_Hd0 zenon_H82 zenon_H1c7 zenon_H9d zenon_H4c zenon_H85 zenon_H36 zenon_Hb9 zenon_H101 zenon_H1e2 zenon_H1e1 zenon_H140 zenon_H5b zenon_H118 zenon_H145 zenon_H75 zenon_H198 zenon_H1de zenon_H16b zenon_H89 zenon_Hbe zenon_H1ab zenon_H1e zenon_H114 zenon_H20 zenon_H21.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.90 exact (zenon_H1e zenon_H23).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.69/4.90 exact (zenon_H1e zenon_H23).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.90 exact (zenon_H5b zenon_H5a).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.90 apply (zenon_L92_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1df ].
% 4.69/4.90 apply (zenon_L36_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H10e | zenon_intro zenon_H1e0 ].
% 4.69/4.90 apply (zenon_L261_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H6d ].
% 4.69/4.90 apply (zenon_L265_); trivial.
% 4.69/4.90 exact (zenon_H145 zenon_H6d).
% 4.69/4.90 apply (zenon_L269_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.90 exact (zenon_H5b zenon_H5a).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.90 apply (zenon_L92_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H9c | zenon_intro zenon_H10a ].
% 4.69/4.90 apply (zenon_L92_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H3e | zenon_intro zenon_H10b ].
% 4.69/4.90 exact (zenon_H36 zenon_H3e).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hfa ].
% 4.69/4.90 apply (zenon_L271_); trivial.
% 4.69/4.90 apply (zenon_L272_); trivial.
% 4.69/4.90 apply (zenon_L276_); trivial.
% 4.69/4.90 apply (zenon_L279_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.90 exact (zenon_H20 zenon_H27).
% 4.69/4.90 exact (zenon_H21 zenon_H26).
% 4.69/4.90 (* end of lemma zenon_L280_ *)
% 4.69/4.90 assert (zenon_L281_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H86 zenon_H8c zenon_Hdb.
% 4.69/4.90 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_H86.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H8c.
% 4.69/4.90 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 4.69/4.90 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.69/4.90 congruence.
% 4.69/4.90 apply zenon_H6f. apply refl_equal.
% 4.69/4.90 apply zenon_H1e5. apply sym_equal. exact zenon_Hdb.
% 4.69/4.90 (* end of lemma zenon_L281_ *)
% 4.69/4.90 assert (zenon_L282_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H166 zenon_H13c zenon_H7e zenon_H38 zenon_Hb6 zenon_Hb8 zenon_H86 zenon_H8c.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H156 | zenon_intro zenon_H169 ].
% 4.69/4.90 apply (zenon_L119_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H3f | zenon_intro zenon_H16a ].
% 4.69/4.90 exact (zenon_H38 zenon_H3f).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H162 | zenon_intro zenon_Hdb ].
% 4.69/4.90 apply (zenon_L146_); trivial.
% 4.69/4.90 apply (zenon_L281_); trivial.
% 4.69/4.90 (* end of lemma zenon_L282_ *)
% 4.69/4.90 assert (zenon_L283_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H100 zenon_H86 zenon_H38 zenon_H7e zenon_H13c zenon_H166 zenon_H54 zenon_H104 zenon_H103 zenon_H82 zenon_H25 zenon_H9d zenon_Hb8 zenon_H75 zenon_H145 zenon_H140 zenon_H6c zenon_H2c.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.90 exact (zenon_H104 zenon_H108).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.90 apply (zenon_L94_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.90 apply (zenon_L144_); trivial.
% 4.69/4.90 apply (zenon_L282_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.90 apply (zenon_L148_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.90 apply (zenon_L149_); trivial.
% 4.69/4.90 apply (zenon_L252_); trivial.
% 4.69/4.90 (* end of lemma zenon_L283_ *)
% 4.69/4.90 assert (zenon_L284_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H7b zenon_H8c zenon_H86 zenon_Hb8 zenon_Hb6 zenon_H38 zenon_H13c zenon_H166 zenon_H36 zenon_H195 zenon_H135.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.69/4.90 apply (zenon_L282_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.69/4.90 exact (zenon_H36 zenon_H3e).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.69/4.90 exact (zenon_H195 zenon_H47).
% 4.69/4.90 exact (zenon_H135 zenon_H71).
% 4.69/4.90 (* end of lemma zenon_L284_ *)
% 4.69/4.90 assert (zenon_L285_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_Haf zenon_H123 zenon_Hfa.
% 4.69/4.90 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 4.69/4.90 intro zenon_D_pnotp.
% 4.69/4.90 apply zenon_Haf.
% 4.69/4.90 rewrite <- zenon_D_pnotp.
% 4.69/4.90 exact zenon_H123.
% 4.69/4.90 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 4.69/4.90 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.69/4.90 congruence.
% 4.69/4.90 apply zenon_Hb2. apply refl_equal.
% 4.69/4.90 apply zenon_H1e6. apply sym_equal. exact zenon_Hfa.
% 4.69/4.90 (* end of lemma zenon_L285_ *)
% 4.69/4.90 assert (zenon_L286_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H101 zenon_Hb9 zenon_H25 zenon_H36 zenon_H85 zenon_H4c zenon_H9d zenon_H42 zenon_H82 zenon_H94 zenon_Haf zenon_H123.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H9c | zenon_intro zenon_H10a ].
% 4.69/4.90 apply (zenon_L92_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H3e | zenon_intro zenon_H10b ].
% 4.69/4.90 exact (zenon_H36 zenon_H3e).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hfa ].
% 4.69/4.90 apply (zenon_L271_); trivial.
% 4.69/4.90 apply (zenon_L285_); trivial.
% 4.69/4.90 (* end of lemma zenon_L286_ *)
% 4.69/4.90 assert (zenon_L287_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H153 zenon_H11f zenon_H1e zenon_H114 zenon_H101 zenon_H28 zenon_Hef zenon_H195 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_Hb4 zenon_H82 zenon_Hb3 zenon_H12e zenon_H113 zenon_H9d zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H95 zenon_Hdf zenon_H140 zenon_H13e zenon_H100 zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.69/4.90 apply (zenon_L259_); trivial.
% 4.69/4.90 apply (zenon_L73_); trivial.
% 4.69/4.90 (* end of lemma zenon_L287_ *)
% 4.69/4.90 assert (zenon_L288_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H100 zenon_H13c zenon_Hfd zenon_H25 zenon_H54 zenon_H12e zenon_H85 zenon_H113 zenon_H103 zenon_H1c7 zenon_H82 zenon_Hd0 zenon_H4b zenon_H179 zenon_H16c zenon_H4c zenon_H7b zenon_H36 zenon_H195 zenon_H135 zenon_Hb4 zenon_Hb3 zenon_H87 zenon_H9d.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.90 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.90 apply (zenon_L148_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.69/4.90 exact (zenon_Hb4 zenon_Hb6).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.69/4.90 apply (zenon_L232_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.69/4.90 apply (zenon_L273_); trivial.
% 4.69/4.90 apply (zenon_L231_); trivial.
% 4.69/4.90 apply (zenon_L79_); trivial.
% 4.69/4.90 (* end of lemma zenon_L288_ *)
% 4.69/4.90 assert (zenon_L289_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1d zenon_H1e zenon_H9d zenon_Hb3 zenon_Hb4 zenon_H135 zenon_H195 zenon_H36 zenon_H7b zenon_H4c zenon_H16c zenon_H179 zenon_H4b zenon_Hd0 zenon_H82 zenon_H1c7 zenon_H103 zenon_H113 zenon_H85 zenon_H12e zenon_H54 zenon_Hfd zenon_H13c zenon_H100 zenon_H7c zenon_H132 zenon_Hb9 zenon_H5b zenon_H118 zenon_H20 zenon_H21.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.90 exact (zenon_H1e zenon_H23).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.90 exact (zenon_H5b zenon_H5a).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.90 apply (zenon_L92_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.90 apply (zenon_L88_); trivial.
% 4.69/4.90 apply (zenon_L288_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.90 exact (zenon_H20 zenon_H27).
% 4.69/4.90 exact (zenon_H21 zenon_H26).
% 4.69/4.90 (* end of lemma zenon_L289_ *)
% 4.69/4.90 assert (zenon_L290_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1bd zenon_H165 zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H100 zenon_H195 zenon_H9d zenon_H1c7 zenon_H16c zenon_H4b zenon_H179 zenon_Hd0 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H12e zenon_Hb3 zenon_H82 zenon_Hb4 zenon_H118 zenon_H1e zenon_H11f zenon_H152.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H4c | zenon_intro zenon_H37 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.69/4.90 apply (zenon_L289_); trivial.
% 4.69/4.90 apply (zenon_L73_); trivial.
% 4.69/4.90 apply (zenon_L240_); trivial.
% 4.69/4.90 (* end of lemma zenon_L290_ *)
% 4.69/4.90 assert (zenon_L291_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1e7 zenon_H4b zenon_H16c zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H1d zenon_H21 zenon_H20 zenon_H118 zenon_H100 zenon_H13e zenon_H140 zenon_Hdf zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H9d zenon_H113 zenon_H12e zenon_Hb3 zenon_H82 zenon_Hb4 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H7b zenon_Hb9 zenon_H5b zenon_Hef zenon_H28 zenon_H101 zenon_H114 zenon_H1e zenon_H11f zenon_H153.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H195 | zenon_intro zenon_H37 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H95 | zenon_intro zenon_H179 ].
% 4.69/4.90 apply (zenon_L287_); trivial.
% 4.69/4.90 apply (zenon_L290_); trivial.
% 4.69/4.90 apply (zenon_L73_); trivial.
% 4.69/4.90 apply (zenon_L258_); trivial.
% 4.69/4.90 (* end of lemma zenon_L291_ *)
% 4.69/4.90 assert (zenon_L292_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1e7 zenon_H173 zenon_H6c zenon_H137 zenon_Hdf zenon_H140 zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H114 zenon_H94 zenon_H153 zenon_H1ca zenon_Hd7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H1bd zenon_H165 zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H7c zenon_H100 zenon_H9d zenon_H1c7 zenon_H16c zenon_H4b zenon_H179 zenon_Hd0 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H12e zenon_Hb3 zenon_H82 zenon_Hb4 zenon_H118 zenon_H1e zenon_H11f zenon_H152 zenon_H171.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H195 | zenon_intro zenon_H37 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.90 apply (zenon_L290_); trivial.
% 4.69/4.90 apply (zenon_L73_); trivial.
% 4.69/4.90 apply (zenon_L257_); trivial.
% 4.69/4.90 (* end of lemma zenon_L292_ *)
% 4.69/4.90 assert (zenon_L293_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_Hb3 zenon_H12e zenon_H113 zenon_H85 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_Hd0 zenon_H179 zenon_H4b zenon_H4c zenon_H16c zenon_H1c7 zenon_H36 zenon_H195 zenon_H135 zenon_H7b zenon_Hb4 zenon_H82 zenon_H9d zenon_H75 zenon_H6c zenon_H140 zenon_H145 zenon_H100 zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.90 exact (zenon_H1e zenon_H23).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.90 exact (zenon_H5b zenon_H5a).
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.90 apply (zenon_L92_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.90 apply (zenon_L253_); trivial.
% 4.69/4.90 apply (zenon_L288_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.90 exact (zenon_H20 zenon_H27).
% 4.69/4.90 exact (zenon_H21 zenon_H26).
% 4.69/4.90 apply (zenon_L73_); trivial.
% 4.69/4.90 (* end of lemma zenon_L293_ *)
% 4.69/4.90 assert (zenon_L294_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1bd zenon_H132 zenon_H165 zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_Hb3 zenon_H12e zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_Hd0 zenon_H179 zenon_H4b zenon_H16c zenon_H1c7 zenon_H36 zenon_H195 zenon_H135 zenon_H7b zenon_Hb4 zenon_H82 zenon_H9d zenon_H75 zenon_H6c zenon_H140 zenon_H145 zenon_H100 zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H152.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H4c | zenon_intro zenon_H37 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.69/4.90 apply (zenon_L293_); trivial.
% 4.69/4.90 apply (zenon_L73_); trivial.
% 4.69/4.90 apply (zenon_L254_); trivial.
% 4.69/4.90 (* end of lemma zenon_L294_ *)
% 4.69/4.90 assert (zenon_L295_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H1e7 zenon_H1cb zenon_H1bd zenon_H132 zenon_H165 zenon_H153 zenon_H11f zenon_H1e zenon_H118 zenon_Hb3 zenon_H12e zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_Hd0 zenon_H179 zenon_H4b zenon_H16c zenon_H1c7 zenon_H36 zenon_H7b zenon_Hb4 zenon_H82 zenon_H9d zenon_H75 zenon_H6c zenon_H140 zenon_H145 zenon_H100 zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H152 zenon_H171.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H195 | zenon_intro zenon_H37 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.90 apply (zenon_L294_); trivial.
% 4.69/4.90 apply (zenon_L73_); trivial.
% 4.69/4.90 apply (zenon_L255_); trivial.
% 4.69/4.90 (* end of lemma zenon_L295_ *)
% 4.69/4.90 assert (zenon_L296_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> False).
% 4.69/4.90 do 0 intro. intros zenon_H122 zenon_H1e7 zenon_H4b zenon_H16c zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H1d zenon_H20 zenon_H118 zenon_H100 zenon_H13e zenon_H140 zenon_Hdf zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H9d zenon_H113 zenon_H12e zenon_Hb3 zenon_H82 zenon_Hb4 zenon_H137 zenon_H36 zenon_H132 zenon_H7b zenon_Hb9 zenon_H5b zenon_Hef zenon_H28 zenon_H101 zenon_H114 zenon_H1e zenon_H11f zenon_H153 zenon_H1c0.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.69/4.90 apply (zenon_L291_); trivial.
% 4.69/4.90 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.69/4.90 apply (zenon_L292_); trivial.
% 4.69/4.90 apply (zenon_L295_); trivial.
% 4.69/4.90 apply (zenon_L73_); trivial.
% 4.69/4.90 (* end of lemma zenon_L296_ *)
% 4.69/4.90 assert (zenon_L297_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H122 zenon_H171 zenon_H152 zenon_H1d zenon_H137 zenon_Hb3 zenon_H82 zenon_Hdf zenon_H140 zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H114 zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H100 zenon_H12e zenon_H76 zenon_H9d zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_Hd0 zenon_H4c zenon_H94 zenon_Hb4 zenon_H118 zenon_H1e zenon_H11f zenon_H153 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1c0 zenon_H173 zenon_H174.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.69/4.91 apply (zenon_L250_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.91 apply (zenon_L249_); trivial.
% 4.69/4.91 apply (zenon_L73_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.69/4.91 apply (zenon_L248_); trivial.
% 4.69/4.91 apply (zenon_L73_); trivial.
% 4.69/4.91 apply (zenon_L130_); trivial.
% 4.69/4.91 apply (zenon_L73_); trivial.
% 4.69/4.91 (* end of lemma zenon_L297_ *)
% 4.69/4.91 assert (zenon_L298_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H153 zenon_H11f zenon_H1e zenon_H114 zenon_H101 zenon_H28 zenon_Hef zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H137 zenon_Hb4 zenon_H82 zenon_Hb3 zenon_H12e zenon_H113 zenon_H9d zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_Hdf zenon_H140 zenon_H13e zenon_H100 zenon_H118 zenon_H1d zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1bd zenon_H16c zenon_H4b zenon_H1e7 zenon_H122.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H20 | zenon_intro zenon_H37 ].
% 4.69/4.91 apply (zenon_L296_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H20 | zenon_intro zenon_H4c ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.69/4.91 apply (zenon_L258_); trivial.
% 4.69/4.91 apply (zenon_L73_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H20 | zenon_intro zenon_H76 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.69/4.91 apply (zenon_L256_); trivial.
% 4.69/4.91 apply (zenon_L73_); trivial.
% 4.69/4.91 apply (zenon_L297_); trivial.
% 4.69/4.91 (* end of lemma zenon_L298_ *)
% 4.69/4.91 assert (zenon_L299_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H1d zenon_H118 zenon_H100 zenon_H13e zenon_H140 zenon_Hdf zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H9d zenon_H113 zenon_H12e zenon_Hb3 zenon_H82 zenon_H137 zenon_H36 zenon_H132 zenon_H7b zenon_Hb9 zenon_H5b zenon_Hef zenon_H28 zenon_H101 zenon_H114 zenon_H1e zenon_H11f zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H179 zenon_H16c zenon_H4d zenon_H4b.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.91 apply (zenon_L193_); trivial.
% 4.69/4.91 apply (zenon_L298_); trivial.
% 4.69/4.91 (* end of lemma zenon_L299_ *)
% 4.69/4.91 assert (zenon_L300_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H1c5 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H153 zenon_H11f zenon_Hef zenon_H132 zenon_Hb3 zenon_H12e zenon_H113 zenon_H171 zenon_H165 zenon_H173 zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H1ca zenon_Hd7 zenon_H170 zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_H1e zenon_H114 zenon_H1e2 zenon_H1e1 zenon_H2b zenon_H28 zenon_H94 zenon_H85 zenon_Haf zenon_H101 zenon_H16b zenon_H89 zenon_H5b zenon_Hb9 zenon_H137 zenon_H16c zenon_Hf6 zenon_H194 zenon_H33 zenon_H19d zenon_Hc3 zenon_Hfd zenon_H36 zenon_H195 zenon_H135 zenon_H7b zenon_Hdf zenon_H13e zenon_H103 zenon_H38 zenon_H86 zenon_H166 zenon_H13c zenon_H54 zenon_H104 zenon_H82 zenon_H9d zenon_H75 zenon_H6c zenon_H140 zenon_H145 zenon_H100 zenon_H1c7 zenon_H4c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H2c | zenon_intro zenon_H4d ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.91 exact (zenon_H1e zenon_H23).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.69/4.91 exact (zenon_H1e zenon_H23).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.91 exact (zenon_H5b zenon_H5a).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.91 apply (zenon_L92_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.91 exact (zenon_H5b zenon_H5a).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.91 apply (zenon_L283_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.91 exact (zenon_H104 zenon_H108).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.91 apply (zenon_L94_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.91 apply (zenon_L144_); trivial.
% 4.69/4.91 apply (zenon_L284_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.91 apply (zenon_L148_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.91 apply (zenon_L149_); trivial.
% 4.69/4.91 apply (zenon_L98_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.91 exact (zenon_H104 zenon_H108).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.91 apply (zenon_L94_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.91 apply (zenon_L151_); trivial.
% 4.69/4.91 apply (zenon_L284_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.91 apply (zenon_L164_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.91 apply (zenon_L149_); trivial.
% 4.69/4.91 apply (zenon_L152_); trivial.
% 4.69/4.91 apply (zenon_L269_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.91 exact (zenon_H5b zenon_H5a).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.91 apply (zenon_L92_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.91 exact (zenon_H5b zenon_H5a).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.91 apply (zenon_L283_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.91 apply (zenon_L100_); trivial.
% 4.69/4.91 apply (zenon_L286_); trivial.
% 4.69/4.91 apply (zenon_L276_); trivial.
% 4.69/4.91 apply (zenon_L279_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.91 exact (zenon_H20 zenon_H27).
% 4.69/4.91 exact (zenon_H21 zenon_H26).
% 4.69/4.91 apply (zenon_L299_); trivial.
% 4.69/4.91 (* end of lemma zenon_L300_ *)
% 4.69/4.91 assert (zenon_L301_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H1e8 zenon_H100 zenon_H6c zenon_H104 zenon_H166 zenon_H86 zenon_H103 zenon_H13e zenon_Hdf zenon_H7b zenon_H135 zenon_H195 zenon_Hfd zenon_Hc3 zenon_H19d zenon_H33 zenon_H194 zenon_Hf6 zenon_H137 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H173 zenon_H165 zenon_H171 zenon_H113 zenon_H12e zenon_Hb3 zenon_H132 zenon_Hef zenon_H11f zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1c5 zenon_H1e zenon_H114 zenon_H1e2 zenon_H1e1 zenon_H101 zenon_H28 zenon_H2b zenon_H13c zenon_H54 zenon_H82 zenon_H9d zenon_H85 zenon_H94 zenon_H36 zenon_H16b zenon_H89 zenon_H5b zenon_Hb9 zenon_H1de zenon_H145 zenon_H140 zenon_H75 zenon_H198 zenon_Hbe zenon_H1c7 zenon_H16c zenon_H4c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H2c | zenon_intro zenon_H38 ].
% 4.69/4.91 apply (zenon_L280_); trivial.
% 4.69/4.91 apply (zenon_L300_); trivial.
% 4.69/4.91 (* end of lemma zenon_L301_ *)
% 4.69/4.91 assert (zenon_L302_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H19a zenon_H1d zenon_H21 zenon_H20 zenon_H118 zenon_H1ab zenon_Hd0 zenon_H179 zenon_H4b zenon_H4c zenon_H16c zenon_H1c7 zenon_Hbe zenon_H198 zenon_H75 zenon_H140 zenon_H145 zenon_H1de zenon_Hb9 zenon_H5b zenon_H89 zenon_H16b zenon_H36 zenon_H94 zenon_H85 zenon_H9d zenon_H82 zenon_H54 zenon_H13c zenon_H28 zenon_H101 zenon_H1e1 zenon_H1e2 zenon_H114 zenon_H1e zenon_H1c5 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H153 zenon_H11f zenon_Hef zenon_H132 zenon_Hb3 zenon_H12e zenon_H113 zenon_H171 zenon_H165 zenon_H173 zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H1ca zenon_Hd7 zenon_H170 zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_Haf zenon_H137 zenon_Hf6 zenon_H194 zenon_H33 zenon_H19d zenon_Hc3 zenon_Hfd zenon_H195 zenon_H135 zenon_H7b zenon_Hdf zenon_H13e zenon_H103 zenon_H86 zenon_H166 zenon_H104 zenon_H6c zenon_H100 zenon_H1e8.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.91 apply (zenon_L301_); trivial.
% 4.69/4.91 apply (zenon_L293_); trivial.
% 4.69/4.91 (* end of lemma zenon_L302_ *)
% 4.69/4.91 assert (zenon_L303_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H1b9 zenon_H1e8 zenon_H166 zenon_H86 zenon_Hc3 zenon_H19d zenon_H33 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1e2 zenon_H1e1 zenon_H16b zenon_H89 zenon_H1de zenon_Hbe zenon_H179 zenon_H1c5 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H54 zenon_H100 zenon_H4b zenon_H4c zenon_H186 zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H13c zenon_H28 zenon_Hef zenon_H103 zenon_H195 zenon_H16c zenon_Hf6 zenon_H194 zenon_H198 zenon_H104 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H95 zenon_H85 zenon_H113 zenon_H12e zenon_Hb3 zenon_H114 zenon_H11f zenon_H153 zenon_H19a.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H29 | zenon_intro zenon_H145 ].
% 4.69/4.91 apply (zenon_L260_); trivial.
% 4.69/4.91 apply (zenon_L302_); trivial.
% 4.69/4.91 (* end of lemma zenon_L303_ *)
% 4.69/4.91 assert (zenon_L304_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H1ba zenon_Hbe zenon_H1de zenon_H89 zenon_H16b zenon_H1e1 zenon_H1e2 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_Haf zenon_H33 zenon_H19d zenon_Hc3 zenon_H86 zenon_H166 zenon_H1e8 zenon_H1b9 zenon_H1c5 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H54 zenon_H100 zenon_H4b zenon_H4c zenon_H186 zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H13c zenon_H28 zenon_Hef zenon_H103 zenon_H195 zenon_H16c zenon_Hf6 zenon_H194 zenon_H198 zenon_H104 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H95 zenon_H85 zenon_H113 zenon_H12e zenon_Hb3 zenon_H114 zenon_H11f zenon_H153 zenon_H19a.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H29 | zenon_intro zenon_H179 ].
% 4.69/4.91 apply (zenon_L260_); trivial.
% 4.69/4.91 apply (zenon_L303_); trivial.
% 4.69/4.91 (* end of lemma zenon_L304_ *)
% 4.69/4.91 assert (zenon_L305_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H118 zenon_H5b zenon_Hb9 zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H7b zenon_H1c7 zenon_H1ab zenon_H34 zenon_H25 zenon_Hd0 zenon_H4b zenon_H179 zenon_H16c zenon_H4c.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.91 exact (zenon_H5b zenon_H5a).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.91 apply (zenon_L92_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.91 apply (zenon_L88_); trivial.
% 4.69/4.91 apply (zenon_L269_); trivial.
% 4.69/4.91 (* end of lemma zenon_L305_ *)
% 4.69/4.91 assert (zenon_L306_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H137 zenon_H5b zenon_H7c zenon_Hb9 zenon_H42 zenon_H103 zenon_H104 zenon_H2c zenon_H2b zenon_H198 zenon_H29 zenon_H28 zenon_Hf6 zenon_H16c zenon_H195 zenon_H194 zenon_H87 zenon_H13c.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.91 exact (zenon_H5b zenon_H5a).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.91 exact (zenon_H7c zenon_H7e).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.91 apply (zenon_L100_); trivial.
% 4.69/4.91 apply (zenon_L156_); trivial.
% 4.69/4.91 (* end of lemma zenon_L306_ *)
% 4.69/4.91 assert (zenon_L307_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H118 zenon_H25 zenon_H135 zenon_H132 zenon_H36 zenon_H7b zenon_H137 zenon_H5b zenon_H7c zenon_Hb9 zenon_H42 zenon_H103 zenon_H104 zenon_H2c zenon_H2b zenon_H198 zenon_H29 zenon_H28 zenon_Hf6 zenon_H16c zenon_H195 zenon_H194 zenon_H13c.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.91 exact (zenon_H5b zenon_H5a).
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.91 apply (zenon_L92_); trivial.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.91 apply (zenon_L88_); trivial.
% 4.69/4.91 apply (zenon_L306_); trivial.
% 4.69/4.91 (* end of lemma zenon_L307_ *)
% 4.69/4.91 assert (zenon_L308_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 4.69/4.91 do 0 intro. intros zenon_H19a zenon_H1d zenon_H21 zenon_H20 zenon_H118 zenon_H1ab zenon_Hd0 zenon_H179 zenon_H4b zenon_H4c zenon_H1c7 zenon_H100 zenon_H145 zenon_H140 zenon_H6c zenon_H75 zenon_H9d zenon_H82 zenon_H104 zenon_H54 zenon_H13c zenon_H166 zenon_H86 zenon_H38 zenon_H103 zenon_H13e zenon_Hdf zenon_H7b zenon_H135 zenon_H195 zenon_H36 zenon_Hfd zenon_Hc3 zenon_H19d zenon_H33 zenon_H194 zenon_Hf6 zenon_H16c zenon_H137 zenon_Hb9 zenon_H5b zenon_H89 zenon_H16b zenon_H101 zenon_Haf zenon_H85 zenon_H94 zenon_H28 zenon_H1e1 zenon_H1e2 zenon_H114 zenon_H1e zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H173 zenon_H165 zenon_H171 zenon_H113 zenon_H12e zenon_Hb3 zenon_H132 zenon_Hef zenon_H11f zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1c5.
% 4.69/4.91 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.91 apply (zenon_L300_); trivial.
% 4.69/4.91 apply (zenon_L293_); trivial.
% 4.69/4.91 (* end of lemma zenon_L308_ *)
% 4.69/4.91 assert (zenon_L309_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1b9 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_H1e2 zenon_H1e1 zenon_Haf zenon_H16b zenon_H89 zenon_H33 zenon_H19d zenon_Hc3 zenon_H38 zenon_H86 zenon_H166 zenon_H1c5 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H100 zenon_H186 zenon_H1c4 zenon_H1e zenon_H114 zenon_H101 zenon_H54 zenon_Hef zenon_H137 zenon_H104 zenon_H28 zenon_H198 zenon_H194 zenon_Hf6 zenon_H195 zenon_H13c zenon_H103 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H1c7 zenon_H16c zenon_H4c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H94 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H95 zenon_H85 zenon_H113 zenon_H12e zenon_Hb3 zenon_H11f zenon_H153 zenon_H19a.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H29 | zenon_intro zenon_H145 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H2c | zenon_intro zenon_H4d ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.92 exact (zenon_H1e zenon_H23).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.69/4.92 exact (zenon_H1e zenon_H23).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.69/4.92 apply (zenon_L305_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.69/4.92 apply (zenon_L307_); trivial.
% 4.69/4.92 apply (zenon_L236_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.92 exact (zenon_H20 zenon_H27).
% 4.69/4.92 exact (zenon_H21 zenon_H26).
% 4.69/4.92 apply (zenon_L228_); trivial.
% 4.69/4.92 apply (zenon_L259_); trivial.
% 4.69/4.92 apply (zenon_L308_); trivial.
% 4.69/4.92 (* end of lemma zenon_L309_ *)
% 4.69/4.92 assert (zenon_L310_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1ba zenon_H166 zenon_H86 zenon_H38 zenon_Hc3 zenon_H19d zenon_H33 zenon_H89 zenon_H16b zenon_Haf zenon_H1e1 zenon_H1e2 zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1b9 zenon_H1c5 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H54 zenon_H100 zenon_H4b zenon_H4c zenon_H186 zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H13c zenon_H28 zenon_Hef zenon_H103 zenon_H195 zenon_H16c zenon_Hf6 zenon_H194 zenon_H198 zenon_H104 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H135 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H95 zenon_H85 zenon_H113 zenon_H12e zenon_Hb3 zenon_H114 zenon_H11f zenon_H153 zenon_H19a.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H29 | zenon_intro zenon_H179 ].
% 4.69/4.92 apply (zenon_L260_); trivial.
% 4.69/4.92 apply (zenon_L309_); trivial.
% 4.69/4.92 (* end of lemma zenon_L310_ *)
% 4.69/4.92 assert (zenon_L311_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H103 zenon_H104 zenon_H2c zenon_H2b zenon_H198 zenon_H29 zenon_H28 zenon_H13c zenon_Hb8 zenon_H26 zenon_H54.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.69/4.92 exact (zenon_H104 zenon_H108).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.69/4.92 apply (zenon_L155_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.69/4.92 apply (zenon_L144_); trivial.
% 4.69/4.92 apply (zenon_L60_); trivial.
% 4.69/4.92 (* end of lemma zenon_L311_ *)
% 4.69/4.92 assert (zenon_L312_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H46 zenon_He5 zenon_H43.
% 4.69/4.92 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 4.69/4.92 intro zenon_D_pnotp.
% 4.69/4.92 apply zenon_H46.
% 4.69/4.92 rewrite <- zenon_D_pnotp.
% 4.69/4.92 exact zenon_He5.
% 4.69/4.92 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 4.69/4.92 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 4.69/4.92 congruence.
% 4.69/4.92 apply zenon_H4a. apply refl_equal.
% 4.69/4.92 apply zenon_H44. apply sym_equal. exact zenon_H43.
% 4.69/4.92 (* end of lemma zenon_L312_ *)
% 4.69/4.92 assert (zenon_L313_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H4b zenon_He5 zenon_H46 zenon_H16c zenon_H4c zenon_H4d.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H43 | zenon_intro zenon_H4e ].
% 4.69/4.92 apply (zenon_L312_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H48 | zenon_intro zenon_H4f ].
% 4.69/4.92 exact (zenon_H16c zenon_H48).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 4.69/4.92 exact (zenon_H4c zenon_H51).
% 4.69/4.92 exact (zenon_H4d zenon_H50).
% 4.69/4.92 (* end of lemma zenon_L313_ *)
% 4.69/4.92 assert (zenon_L314_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 4.69/4.92 do 0 intro. intros zenon_He9 zenon_Hbe zenon_Hbd zenon_Hc3 zenon_H4d zenon_H4c zenon_H16c zenon_H46 zenon_H4b zenon_H86 zenon_H26.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.69/4.92 apply (zenon_L36_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.69/4.92 exact (zenon_Hc3 zenon_H3a).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.69/4.92 apply (zenon_L313_); trivial.
% 4.69/4.92 apply (zenon_L42_); trivial.
% 4.69/4.92 (* end of lemma zenon_L314_ *)
% 4.69/4.92 assert (zenon_L315_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1ba zenon_H1d zenon_H1e9 zenon_H6c zenon_H140 zenon_H113 zenon_H75 zenon_Hbe zenon_H4b zenon_H4c zenon_H46 zenon_H86 zenon_He9 zenon_H20 zenon_H5b zenon_Hb9 zenon_H137 zenon_H18f zenon_H4d zenon_H33 zenon_H38 zenon_H19d zenon_Hc3 zenon_H9d zenon_H103 zenon_Hfd zenon_H195 zenon_H16c zenon_Hf6 zenon_H194 zenon_H54 zenon_H104 zenon_H100 zenon_H36 zenon_Hef zenon_H28 zenon_H2c zenon_H13c zenon_H101 zenon_H7c zenon_H198 zenon_H118 zenon_H1e zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H153 zenon_H11f zenon_H114 zenon_H7b zenon_H132 zenon_H82 zenon_Hb3 zenon_H12e zenon_Hdf zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1bd zenon_H1e7 zenon_H122 zenon_H19a.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H29 | zenon_intro zenon_H179 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.69/4.92 exact (zenon_H1e zenon_H23).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.69/4.92 exact (zenon_H5b zenon_H5a).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.69/4.92 apply (zenon_L92_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5a | zenon_intro zenon_H138 ].
% 4.69/4.92 exact (zenon_H5b zenon_H5a).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H7e | zenon_intro zenon_H139 ].
% 4.69/4.92 exact (zenon_H7c zenon_H7e).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H123 ].
% 4.69/4.92 apply (zenon_L154_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.69/4.92 apply (zenon_L147_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.69/4.92 apply (zenon_L164_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.69/4.92 apply (zenon_L149_); trivial.
% 4.69/4.92 apply (zenon_L152_); trivial.
% 4.69/4.92 apply (zenon_L157_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.69/4.92 exact (zenon_H20 zenon_H27).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H196 ].
% 4.69/4.92 apply (zenon_L311_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H47 | zenon_intro zenon_H197 ].
% 4.69/4.92 exact (zenon_H195 zenon_H47).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H48 | zenon_intro zenon_H192 ].
% 4.69/4.92 exact (zenon_H16c zenon_H48).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1ea ].
% 4.69/4.92 apply (zenon_L314_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H123 | zenon_intro zenon_H1eb ].
% 4.69/4.92 apply (zenon_L150_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2e ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.69/4.92 apply (zenon_L13_); trivial.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.69/4.92 exact (zenon_H140 zenon_H72).
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.69/4.92 apply (zenon_L230_); trivial.
% 4.69/4.92 exact (zenon_H2c zenon_H31).
% 4.69/4.92 exact (zenon_H29 zenon_H2e).
% 4.69/4.92 apply (zenon_L298_); trivial.
% 4.69/4.92 apply (zenon_L193_); trivial.
% 4.69/4.92 (* end of lemma zenon_L315_ *)
% 4.69/4.92 assert (zenon_L316_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1bb zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_Hdf zenon_H12e zenon_Hb3 zenon_H132 zenon_H7b zenon_H114 zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H19d zenon_H38 zenon_H33 zenon_He9 zenon_H86 zenon_H46 zenon_Hbe zenon_H75 zenon_H113 zenon_H140 zenon_H6c zenon_H1e9 zenon_H1ba zenon_H1d zenon_H20 zenon_H5b zenon_Hb9 zenon_H137 zenon_H18f zenon_H82 zenon_H9d zenon_H103 zenon_Hfd zenon_H195 zenon_Hf6 zenon_H194 zenon_H54 zenon_H100 zenon_H104 zenon_H4b zenon_H4d zenon_H4c zenon_H16c zenon_H13c zenon_H186 zenon_H7c zenon_H198 zenon_H36 zenon_Hef zenon_H28 zenon_H2c zenon_H101 zenon_H118 zenon_H1e zenon_H11f zenon_H19a.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H29 | zenon_intro zenon_Hc3 ].
% 4.69/4.92 apply (zenon_L160_); trivial.
% 4.69/4.92 apply (zenon_L315_); trivial.
% 4.69/4.92 (* end of lemma zenon_L316_ *)
% 4.69/4.92 assert (zenon_L317_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1ec zenon_H1e9 zenon_Hbe zenon_H46 zenon_H86 zenon_H33 zenon_H38 zenon_H19d zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1bb zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_H7b zenon_H135 zenon_H132 zenon_Hb3 zenon_H12e zenon_H113 zenon_H95 zenon_Hdf zenon_H140 zenon_H13e zenon_H21 zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H20 zenon_H5b zenon_Hb9 zenon_H137 zenon_H18f zenon_H82 zenon_H9d zenon_H103 zenon_Hfd zenon_H195 zenon_Hf6 zenon_H194 zenon_H54 zenon_H100 zenon_H104 zenon_H4b zenon_H4d zenon_H4c zenon_H16c zenon_H13c zenon_H186 zenon_H7c zenon_H198 zenon_H36 zenon_Hef zenon_H28 zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H1ba.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H85 | zenon_intro zenon_H2c ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H29 | zenon_intro zenon_H179 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.69/4.92 apply (zenon_L228_); trivial.
% 4.69/4.92 apply (zenon_L259_); trivial.
% 4.69/4.92 apply (zenon_L193_); trivial.
% 4.69/4.92 apply (zenon_L316_); trivial.
% 4.69/4.92 (* end of lemma zenon_L317_ *)
% 4.69/4.92 assert (zenon_L318_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1ed zenon_H46 zenon_Hbe zenon_H1e9 zenon_H1ec zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_H95 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H195 zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4c zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H1ba zenon_H166 zenon_H86 zenon_H38 zenon_H19d zenon_H33 zenon_H89 zenon_H16b zenon_Haf zenon_H1e1 zenon_H1e2 zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1b9 zenon_H1bb.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H85 | zenon_intro zenon_H4d ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H29 | zenon_intro zenon_Hc3 ].
% 4.69/4.92 apply (zenon_L260_); trivial.
% 4.69/4.92 apply (zenon_L310_); trivial.
% 4.69/4.92 apply (zenon_L317_); trivial.
% 4.69/4.92 (* end of lemma zenon_L318_ *)
% 4.69/4.92 assert (zenon_L319_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H46 zenon_H1ed zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_H95 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H195 zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4c zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H1ba zenon_Hbe zenon_H1de zenon_H89 zenon_H16b zenon_H1e1 zenon_H1e2 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_Haf zenon_H33 zenon_H19d zenon_H86 zenon_H166 zenon_H1e8 zenon_H1b9 zenon_H1bb.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H85 | zenon_intro zenon_H38 ].
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H29 | zenon_intro zenon_Hc3 ].
% 4.69/4.92 apply (zenon_L260_); trivial.
% 4.69/4.92 apply (zenon_L304_); trivial.
% 4.69/4.92 apply (zenon_L318_); trivial.
% 4.69/4.92 (* end of lemma zenon_L319_ *)
% 4.69/4.92 assert (zenon_L320_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1ed zenon_H1bb zenon_H46 zenon_Hbe zenon_H1e9 zenon_H1ec zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_H95 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H195 zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4c zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H1b9 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_H1e2 zenon_H1e1 zenon_Haf zenon_H16b zenon_H89 zenon_H33 zenon_H19d zenon_Hc3 zenon_H38 zenon_H86 zenon_H166 zenon_H1ba.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H85 | zenon_intro zenon_H4d ].
% 4.69/4.92 apply (zenon_L310_); trivial.
% 4.69/4.92 apply (zenon_L317_); trivial.
% 4.69/4.92 (* end of lemma zenon_L320_ *)
% 4.69/4.92 assert (zenon_L321_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.92 do 0 intro. intros zenon_H1ed zenon_H1c5 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H153 zenon_H11f zenon_Hef zenon_H132 zenon_Hb3 zenon_H12e zenon_H113 zenon_H171 zenon_H165 zenon_H173 zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H1ca zenon_Hd7 zenon_H170 zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_H1e zenon_H114 zenon_H1e2 zenon_H1e1 zenon_H28 zenon_H94 zenon_Haf zenon_H101 zenon_H16b zenon_H89 zenon_H5b zenon_Hb9 zenon_H137 zenon_H16c zenon_Hf6 zenon_H194 zenon_H33 zenon_H19d zenon_Hc3 zenon_Hfd zenon_H36 zenon_H195 zenon_H135 zenon_H7b zenon_Hdf zenon_H13e zenon_H103 zenon_H38 zenon_H86 zenon_H166 zenon_H13c zenon_H54 zenon_H104 zenon_H82 zenon_H9d zenon_H75 zenon_H6c zenon_H140 zenon_H145 zenon_H100 zenon_H1c7 zenon_H4c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H19a.
% 4.69/4.92 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H85 | zenon_intro zenon_H4d ].
% 4.69/4.92 apply (zenon_L308_); trivial.
% 4.69/4.92 apply (zenon_L193_); trivial.
% 4.69/4.92 (* end of lemma zenon_L321_ *)
% 4.69/4.92 assert (zenon_L322_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1ee zenon_H1ed zenon_H1e8 zenon_H100 zenon_H6c zenon_H104 zenon_H166 zenon_H86 zenon_H103 zenon_H13e zenon_Hdf zenon_H7b zenon_H135 zenon_H195 zenon_Hfd zenon_Hc3 zenon_H19d zenon_H33 zenon_H194 zenon_Hf6 zenon_H137 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H173 zenon_H165 zenon_H171 zenon_H113 zenon_H12e zenon_Hb3 zenon_H132 zenon_Hef zenon_H11f zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1c5 zenon_H1e zenon_H114 zenon_H1e2 zenon_H1e1 zenon_H101 zenon_H28 zenon_H13c zenon_H54 zenon_H82 zenon_H9d zenon_H94 zenon_H36 zenon_H16b zenon_H89 zenon_H5b zenon_Hb9 zenon_H1de zenon_H145 zenon_H140 zenon_H75 zenon_H198 zenon_Hbe zenon_H1c7 zenon_H16c zenon_H4c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H19a.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H85 | zenon_intro zenon_H38 ].
% 4.69/4.93 apply (zenon_L302_); trivial.
% 4.69/4.93 apply (zenon_L321_); trivial.
% 4.69/4.93 (* end of lemma zenon_L322_ *)
% 4.69/4.93 assert (zenon_L323_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1ef zenon_H1ed zenon_H1c5 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H153 zenon_H11f zenon_Hef zenon_H132 zenon_Hb3 zenon_H12e zenon_H113 zenon_H171 zenon_H165 zenon_H173 zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H1ca zenon_Hd7 zenon_H170 zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_H1e zenon_H114 zenon_H1e2 zenon_H1e1 zenon_H28 zenon_H94 zenon_Haf zenon_H101 zenon_H16b zenon_H89 zenon_H5b zenon_Hb9 zenon_H137 zenon_H16c zenon_Hf6 zenon_H194 zenon_H33 zenon_H19d zenon_Hc3 zenon_Hfd zenon_H36 zenon_H195 zenon_H7b zenon_Hdf zenon_H13e zenon_H103 zenon_H38 zenon_H86 zenon_H166 zenon_H13c zenon_H54 zenon_H104 zenon_H82 zenon_H9d zenon_H75 zenon_H6c zenon_H140 zenon_H145 zenon_H100 zenon_H1c7 zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H19a.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H135 | zenon_intro zenon_H4d ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_L321_); trivial.
% 4.69/4.93 apply (zenon_L294_); trivial.
% 4.69/4.93 apply (zenon_L299_); trivial.
% 4.69/4.93 (* end of lemma zenon_L323_ *)
% 4.69/4.93 assert (zenon_L324_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1f0 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H1e8 zenon_H100 zenon_H6c zenon_H104 zenon_H166 zenon_H86 zenon_H103 zenon_H13e zenon_Hdf zenon_H7b zenon_H195 zenon_Hfd zenon_Hc3 zenon_H19d zenon_H33 zenon_H194 zenon_Hf6 zenon_H137 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H173 zenon_H165 zenon_H171 zenon_H113 zenon_H12e zenon_Hb3 zenon_H132 zenon_Hef zenon_H11f zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1c5 zenon_H1e zenon_H114 zenon_H1e2 zenon_H1e1 zenon_H101 zenon_H28 zenon_H13c zenon_H54 zenon_H82 zenon_H9d zenon_H94 zenon_H36 zenon_H16b zenon_H89 zenon_H5b zenon_Hb9 zenon_H1de zenon_H145 zenon_H140 zenon_H75 zenon_H198 zenon_Hbe zenon_H1c7 zenon_H16c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H19a.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H135 | zenon_intro zenon_H38 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_L322_); trivial.
% 4.69/4.93 apply (zenon_L294_); trivial.
% 4.69/4.93 apply (zenon_L323_); trivial.
% 4.69/4.93 (* end of lemma zenon_L324_ *)
% 4.69/4.93 assert (zenon_L325_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ba zenon_H1ec zenon_H1e9 zenon_H46 zenon_H1bb zenon_H1ed zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H195 zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H179 zenon_Hbe zenon_H1de zenon_H89 zenon_H16b zenon_H1e1 zenon_H1e2 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_Haf zenon_H33 zenon_H19d zenon_Hc3 zenon_H86 zenon_H166 zenon_H1e8 zenon_H1b9.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H85 | zenon_intro zenon_H38 ].
% 4.69/4.93 apply (zenon_L303_); trivial.
% 4.69/4.93 apply (zenon_L320_); trivial.
% 4.69/4.93 apply (zenon_L287_); trivial.
% 4.69/4.93 apply (zenon_L324_); trivial.
% 4.69/4.93 (* end of lemma zenon_L325_ *)
% 4.69/4.93 assert (zenon_L326_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1f0 zenon_H1ef zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H46 zenon_H1bb zenon_H1ed zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H195 zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H1b9 zenon_H1e8 zenon_H166 zenon_H86 zenon_Hc3 zenon_H19d zenon_H33 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1e2 zenon_H1e1 zenon_H16b zenon_H89 zenon_H1de zenon_Hbe zenon_H1ba.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H95 | zenon_intro zenon_H179 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H85 | zenon_intro zenon_H38 ].
% 4.69/4.93 apply (zenon_L304_); trivial.
% 4.69/4.93 apply (zenon_L320_); trivial.
% 4.69/4.93 apply (zenon_L287_); trivial.
% 4.69/4.93 apply (zenon_L325_); trivial.
% 4.69/4.93 (* end of lemma zenon_L326_ *)
% 4.69/4.93 assert (zenon_L327_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1bf zenon_H1bb zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_Hdf zenon_H12e zenon_Hb3 zenon_H132 zenon_H7b zenon_H114 zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H19d zenon_H38 zenon_H33 zenon_He9 zenon_H86 zenon_H46 zenon_Hbe zenon_H75 zenon_H113 zenon_H140 zenon_H6c zenon_H1e9 zenon_H1ba zenon_H1d zenon_H20 zenon_H5b zenon_Hb9 zenon_H137 zenon_H18f zenon_H82 zenon_H9d zenon_H103 zenon_Hfd zenon_Hf6 zenon_H194 zenon_H54 zenon_H100 zenon_H104 zenon_H4b zenon_H4d zenon_H16c zenon_H13c zenon_H186 zenon_H7c zenon_H198 zenon_H36 zenon_Hef zenon_H28 zenon_H2c zenon_H101 zenon_H118 zenon_H1e zenon_H11f zenon_H19a zenon_H1b6.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_L316_); trivial.
% 4.69/4.93 apply (zenon_L298_); trivial.
% 4.69/4.93 apply (zenon_L73_); trivial.
% 4.69/4.93 (* end of lemma zenon_L327_ *)
% 4.69/4.93 assert (zenon_L328_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1f1 zenon_H1bf zenon_H1b6 zenon_H1ba zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H28 zenon_Hef zenon_H36 zenon_H198 zenon_H7c zenon_H186 zenon_H13c zenon_H16c zenon_H4d zenon_H4b zenon_H104 zenon_H100 zenon_H54 zenon_H194 zenon_Hf6 zenon_H195 zenon_Hfd zenon_H103 zenon_H9d zenon_H82 zenon_H18f zenon_H137 zenon_Hb9 zenon_H5b zenon_H20 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H21 zenon_H13e zenon_H140 zenon_Hdf zenon_H113 zenon_H12e zenon_Hb3 zenon_H132 zenon_H7b zenon_H114 zenon_H11f zenon_H153 zenon_H19a zenon_H1bb zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H19d zenon_H38 zenon_H33 zenon_H86 zenon_H46 zenon_Hbe zenon_H1e9 zenon_H1ec.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H135 | zenon_intro zenon_H2c ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H95 | zenon_intro zenon_H179 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_L317_); trivial.
% 4.69/4.93 apply (zenon_L287_); trivial.
% 4.69/4.93 apply (zenon_L299_); trivial.
% 4.69/4.93 apply (zenon_L327_); trivial.
% 4.69/4.93 (* end of lemma zenon_L328_ *)
% 4.69/4.93 assert (zenon_L329_ : ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1ec zenon_H1e9 zenon_Hbe zenon_H46 zenon_H1bb zenon_H1ba zenon_H1bf zenon_H1f1 zenon_H1b9 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_H1e2 zenon_H1e1 zenon_Haf zenon_H16b zenon_H89 zenon_H33 zenon_H19d zenon_Hc3 zenon_H38 zenon_H86 zenon_H166 zenon_H1c5 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H100 zenon_H186 zenon_H1c4 zenon_H1e zenon_H114 zenon_H101 zenon_H54 zenon_Hef zenon_H137 zenon_H104 zenon_H28 zenon_H198 zenon_H194 zenon_Hf6 zenon_H195 zenon_H13c zenon_H103 zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H7c zenon_H1c7 zenon_H16c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H94 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H113 zenon_H12e zenon_Hb3 zenon_H11f zenon_H153 zenon_H19a zenon_H1ed zenon_H1ef.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H135 | zenon_intro zenon_H4d ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H85 | zenon_intro zenon_H4d ].
% 4.69/4.93 apply (zenon_L309_); trivial.
% 4.69/4.93 apply (zenon_L193_); trivial.
% 4.69/4.93 apply (zenon_L287_); trivial.
% 4.69/4.93 apply (zenon_L323_); trivial.
% 4.69/4.93 apply (zenon_L328_); trivial.
% 4.69/4.93 (* end of lemma zenon_L329_ *)
% 4.69/4.93 assert (zenon_L330_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> False).
% 4.69/4.93 do 0 intro. intros zenon_H1ef zenon_H1f1 zenon_H1bf zenon_H1ed zenon_H1bb zenon_H46 zenon_Hbe zenon_H1e9 zenon_H1ec zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H195 zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H1b9 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_H1e2 zenon_H1e1 zenon_Haf zenon_H16b zenon_H89 zenon_H33 zenon_H19d zenon_Hc3 zenon_H38 zenon_H86 zenon_H166 zenon_H1ba.
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H95 | zenon_intro zenon_H179 ].
% 4.69/4.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.69/4.93 apply (zenon_L320_); trivial.
% 4.69/4.93 apply (zenon_L287_); trivial.
% 4.69/4.93 apply (zenon_L329_); trivial.
% 4.69/4.93 (* end of lemma zenon_L330_ *)
% 4.69/4.93 assert (zenon_L331_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H1bf zenon_H1f1 zenon_H1ef zenon_H1ed zenon_H46 zenon_Hbe zenon_H1e9 zenon_H1ec zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H1ba zenon_H166 zenon_H86 zenon_H38 zenon_H19d zenon_H33 zenon_H89 zenon_H16b zenon_Haf zenon_H1e1 zenon_H1e2 zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1b9 zenon_H1bb.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H135 | zenon_intro zenon_H4d ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_L318_); trivial.
% 4.78/4.94 apply (zenon_L287_); trivial.
% 4.78/4.94 apply (zenon_L330_); trivial.
% 4.78/4.94 apply (zenon_L328_); trivial.
% 4.78/4.94 apply (zenon_L291_); trivial.
% 4.78/4.94 (* end of lemma zenon_L331_ *)
% 4.78/4.94 assert (zenon_L332_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H1f1 zenon_H1bf zenon_H1bb zenon_H1b9 zenon_H1e8 zenon_H166 zenon_H86 zenon_H19d zenon_H33 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1e2 zenon_H1e1 zenon_H16b zenon_H89 zenon_H1de zenon_Hbe zenon_H1ba zenon_H1c5 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H54 zenon_H100 zenon_H4b zenon_H186 zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H13c zenon_H28 zenon_Hef zenon_H103 zenon_H195 zenon_H16c zenon_Hf6 zenon_H194 zenon_H198 zenon_H104 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H113 zenon_H12e zenon_Hb3 zenon_H114 zenon_H11f zenon_H153 zenon_H19a zenon_H1ed zenon_H46 zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H135 | zenon_intro zenon_H38 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_L319_); trivial.
% 4.78/4.94 apply (zenon_L287_); trivial.
% 4.78/4.94 apply (zenon_L326_); trivial.
% 4.78/4.94 apply (zenon_L331_); trivial.
% 4.78/4.94 (* end of lemma zenon_L332_ *)
% 4.78/4.94 assert (zenon_L333_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H1f0 zenon_H1ef zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H46 zenon_H1bb zenon_H1ed zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H21 zenon_H20 zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H7c zenon_H137 zenon_H104 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H1b9 zenon_H1e8 zenon_H166 zenon_H86 zenon_Hc3 zenon_H19d zenon_H33 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1e2 zenon_H1e1 zenon_H16b zenon_H89 zenon_H1de zenon_Hbe zenon_H1ba zenon_H1bf zenon_H1f1.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H135 | zenon_intro zenon_H38 ].
% 4.78/4.94 apply (zenon_L326_); trivial.
% 4.78/4.94 apply (zenon_L331_); trivial.
% 4.78/4.94 apply (zenon_L291_); trivial.
% 4.78/4.94 (* end of lemma zenon_L333_ *)
% 4.78/4.94 assert (zenon_L334_ : ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H19a zenon_H1d zenon_H21 zenon_H20 zenon_H118 zenon_H1ab zenon_Hd0 zenon_H179 zenon_H4b zenon_H4c zenon_H16c zenon_H1c7 zenon_Hbe zenon_H198 zenon_H75 zenon_H140 zenon_H145 zenon_H1de zenon_Hb9 zenon_H5b zenon_H89 zenon_H16b zenon_H36 zenon_H94 zenon_H85 zenon_H9d zenon_H82 zenon_H54 zenon_H13c zenon_H28 zenon_H101 zenon_H1e1 zenon_H1e2 zenon_H114 zenon_H1e zenon_H1e8 zenon_H100 zenon_H6c zenon_H166 zenon_H86 zenon_H103 zenon_H13e zenon_Hdf zenon_H7b zenon_H135 zenon_H195 zenon_Hfd zenon_Hc3 zenon_H19d zenon_H33 zenon_H194 zenon_Hf6 zenon_H137 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H173 zenon_H165 zenon_H171 zenon_H113 zenon_H12e zenon_Hb3 zenon_H132 zenon_Hef zenon_H11f zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1c5.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.78/4.94 apply (zenon_L280_); trivial.
% 4.78/4.94 apply (zenon_L301_); trivial.
% 4.78/4.94 apply (zenon_L293_); trivial.
% 4.78/4.94 (* end of lemma zenon_L334_ *)
% 4.78/4.94 assert (zenon_L335_ : ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H1b9 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_Haf zenon_H33 zenon_H19d zenon_Hc3 zenon_H86 zenon_H166 zenon_H1e8 zenon_H1e2 zenon_H1e1 zenon_H1de zenon_Hbe zenon_H153 zenon_H198 zenon_H194 zenon_Hf6 zenon_H195 zenon_H103 zenon_H1c4 zenon_H186 zenon_H100 zenon_Hfd zenon_H18f zenon_H1c5 zenon_H1e zenon_H114 zenon_H101 zenon_H54 zenon_H13c zenon_H28 zenon_Hef zenon_H137 zenon_H16b zenon_H89 zenon_H82 zenon_H9d zenon_H85 zenon_H94 zenon_H5b zenon_Hb9 zenon_H7b zenon_H135 zenon_H132 zenon_H36 zenon_H7c zenon_H1c7 zenon_H16c zenon_H4c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H95 zenon_H113 zenon_H12e zenon_Hb3 zenon_H11f zenon_H19a.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H29 | zenon_intro zenon_H145 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H2b | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.78/4.94 exact (zenon_H1e zenon_H23).
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.78/4.94 exact (zenon_H1e zenon_H23).
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.78/4.94 apply (zenon_L305_); trivial.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H5a | zenon_intro zenon_H119 ].
% 4.78/4.94 exact (zenon_H5b zenon_H5a).
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H9c | zenon_intro zenon_H11c ].
% 4.78/4.94 apply (zenon_L92_); trivial.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H87 ].
% 4.78/4.94 apply (zenon_L88_); trivial.
% 4.78/4.94 apply (zenon_L276_); trivial.
% 4.78/4.94 apply (zenon_L236_); trivial.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.78/4.94 exact (zenon_H20 zenon_H27).
% 4.78/4.94 exact (zenon_H21 zenon_H26).
% 4.78/4.94 apply (zenon_L229_); trivial.
% 4.78/4.94 apply (zenon_L259_); trivial.
% 4.78/4.94 apply (zenon_L334_); trivial.
% 4.78/4.94 (* end of lemma zenon_L335_ *)
% 4.78/4.94 assert (zenon_L336_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H1ef zenon_H1f0 zenon_H1ed zenon_H1ee zenon_H1c5 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H153 zenon_H11f zenon_Hef zenon_H132 zenon_Hb3 zenon_H12e zenon_H113 zenon_H171 zenon_H165 zenon_H173 zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H1ca zenon_Hd7 zenon_H170 zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_Haf zenon_H137 zenon_Hf6 zenon_H194 zenon_H33 zenon_H19d zenon_Hc3 zenon_Hfd zenon_H195 zenon_H7b zenon_Hdf zenon_H13e zenon_H103 zenon_H86 zenon_H166 zenon_H6c zenon_H100 zenon_H1e8 zenon_H1e zenon_H114 zenon_H1e2 zenon_H1e1 zenon_H101 zenon_H28 zenon_H13c zenon_H54 zenon_H82 zenon_H9d zenon_H94 zenon_H36 zenon_H16b zenon_H89 zenon_H5b zenon_Hb9 zenon_H1de zenon_H145 zenon_H140 zenon_H75 zenon_H198 zenon_Hbe zenon_H1c7 zenon_H16c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H19a.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.78/4.94 apply (zenon_L334_); trivial.
% 4.78/4.94 apply (zenon_L322_); trivial.
% 4.78/4.94 apply (zenon_L294_); trivial.
% 4.78/4.94 apply (zenon_L324_); trivial.
% 4.78/4.94 (* end of lemma zenon_L336_ *)
% 4.78/4.94 assert (zenon_L337_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H1f1 zenon_H1bf zenon_H1b9 zenon_H1e8 zenon_H166 zenon_H86 zenon_Hc3 zenon_H19d zenon_H33 zenon_Haf zenon_H1b6 zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1e2 zenon_H1e1 zenon_H16b zenon_H89 zenon_H1de zenon_Hbe zenon_H179 zenon_H1c5 zenon_H18f zenon_H82 zenon_H9d zenon_Hfd zenon_H54 zenon_H100 zenon_H4b zenon_H186 zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H13c zenon_H28 zenon_Hef zenon_H103 zenon_H195 zenon_H16c zenon_Hf6 zenon_H194 zenon_H198 zenon_H104 zenon_H137 zenon_H7c zenon_H36 zenon_H132 zenon_H7b zenon_Hb9 zenon_H5b zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H113 zenon_H12e zenon_Hb3 zenon_H114 zenon_H11f zenon_H153 zenon_H19a zenon_H1ed zenon_H1bb zenon_H46 zenon_H1e9 zenon_H1ec zenon_H1ba zenon_H1ee zenon_H1f0 zenon_H1ef.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H135 | zenon_intro zenon_H38 ].
% 4.78/4.94 apply (zenon_L325_); trivial.
% 4.78/4.94 apply (zenon_L331_); trivial.
% 4.78/4.94 (* end of lemma zenon_L337_ *)
% 4.78/4.94 assert (zenon_L338_ : ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H1bf zenon_H1f1 zenon_H1b9 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_Haf zenon_H33 zenon_H19d zenon_Hc3 zenon_H86 zenon_H166 zenon_H1e8 zenon_H1e2 zenon_H1e1 zenon_H1de zenon_Hbe zenon_H153 zenon_H198 zenon_H194 zenon_Hf6 zenon_H195 zenon_H103 zenon_H1c4 zenon_H186 zenon_H100 zenon_Hfd zenon_H18f zenon_H1c5 zenon_H1e zenon_H114 zenon_H101 zenon_H54 zenon_H13c zenon_H28 zenon_Hef zenon_H137 zenon_H16b zenon_H89 zenon_H82 zenon_H9d zenon_H94 zenon_H5b zenon_Hb9 zenon_H7b zenon_H132 zenon_H36 zenon_H7c zenon_H1c7 zenon_H16c zenon_H4b zenon_H179 zenon_Hd0 zenon_H1ab zenon_H118 zenon_H20 zenon_H21 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H170 zenon_Hd7 zenon_H1ca zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_H140 zenon_Hdf zenon_H113 zenon_H12e zenon_Hb3 zenon_H11f zenon_H19a zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H46 zenon_H1ed zenon_H1ba zenon_H1bb zenon_H1ef zenon_H1f0.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.78/4.94 apply (zenon_L335_); trivial.
% 4.78/4.94 apply (zenon_L319_); trivial.
% 4.78/4.94 apply (zenon_L287_); trivial.
% 4.78/4.94 apply (zenon_L336_); trivial.
% 4.78/4.94 apply (zenon_L337_); trivial.
% 4.78/4.94 (* end of lemma zenon_L338_ *)
% 4.78/4.94 assert (zenon_L339_ : ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> False).
% 4.78/4.94 do 0 intro. intros zenon_H1f1 zenon_H1bf zenon_H1b6 zenon_H1ba zenon_H1c4 zenon_H1e zenon_H118 zenon_H101 zenon_H28 zenon_Hef zenon_H36 zenon_H198 zenon_H186 zenon_H13c zenon_H16c zenon_H4d zenon_H4b zenon_H104 zenon_H100 zenon_H54 zenon_H194 zenon_Hf6 zenon_Hfd zenon_H103 zenon_H9d zenon_H82 zenon_H18f zenon_H137 zenon_Hb9 zenon_H5b zenon_H20 zenon_H1d zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_He9 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H6c zenon_H173 zenon_H165 zenon_H171 zenon_H21 zenon_H13e zenon_H140 zenon_Hdf zenon_H113 zenon_H12e zenon_Hb3 zenon_H132 zenon_H7b zenon_H114 zenon_H11f zenon_H153 zenon_H19a zenon_H1bb zenon_H122 zenon_H1e7 zenon_H1bd zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H19d zenon_H38 zenon_H33 zenon_H86 zenon_H46 zenon_Hbe zenon_H1e9 zenon_H1ec.
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.78/4.94 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.94 apply (zenon_L328_); trivial.
% 4.78/4.94 apply (zenon_L291_); trivial.
% 4.78/4.94 apply (zenon_L299_); trivial.
% 4.78/4.94 (* end of lemma zenon_L339_ *)
% 4.78/4.94 assert (zenon_L340_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> False).
% 4.78/4.95 do 0 intro. intros zenon_H1b6 zenon_H19a zenon_H122 zenon_H1e7 zenon_H1bd zenon_H11e zenon_H1cc zenon_H1cb zenon_H172 zenon_H1ab zenon_H170 zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H94 zenon_Hd0 zenon_H70 zenon_H142 zenon_H117 zenon_H152 zenon_H173 zenon_H165 zenon_H171 zenon_H13e zenon_Hdf zenon_H12e zenon_Hb3 zenon_H82 zenon_H132 zenon_H7b zenon_H114 zenon_H11f zenon_H153 zenon_H1c0 zenon_H177 zenon_H174 zenon_H176 zenon_H175 zenon_H1e zenon_H118 zenon_H198 zenon_H7c zenon_H101 zenon_H13c zenon_H2c zenon_H28 zenon_Hef zenon_H36 zenon_H100 zenon_H104 zenon_H54 zenon_H194 zenon_Hf6 zenon_H16c zenon_H195 zenon_Hfd zenon_H103 zenon_H9d zenon_Hc3 zenon_H19d zenon_H38 zenon_H33 zenon_H4d zenon_H18f zenon_H137 zenon_Hb9 zenon_H5b zenon_H20 zenon_He9 zenon_H86 zenon_H46 zenon_H4b zenon_Hbe zenon_H75 zenon_H113 zenon_H140 zenon_H6c zenon_H1e9 zenon_H1d zenon_H1ba.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L315_); trivial.
% 4.78/4.95 apply (zenon_L73_); trivial.
% 4.78/4.95 (* end of lemma zenon_L340_ *)
% 4.78/4.95 assert (zenon_L341_ : ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> False).
% 4.78/4.95 do 0 intro. intros zenon_H1be zenon_H1ec zenon_H1e9 zenon_Hbe zenon_H46 zenon_H86 zenon_H33 zenon_H38 zenon_H19d zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1bb zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_H7b zenon_H132 zenon_Hb3 zenon_H12e zenon_H113 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H20 zenon_H5b zenon_Hb9 zenon_H137 zenon_H18f zenon_H82 zenon_H9d zenon_H103 zenon_Hfd zenon_Hf6 zenon_H194 zenon_H54 zenon_H100 zenon_H104 zenon_H4b zenon_H4d zenon_H16c zenon_H13c zenon_H186 zenon_H198 zenon_H36 zenon_Hef zenon_H28 zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H1ba zenon_H1b6 zenon_H1bf zenon_H1f1.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ].
% 4.78/4.95 apply (zenon_L339_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.78/4.95 apply (zenon_L327_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L340_); trivial.
% 4.78/4.95 apply (zenon_L298_); trivial.
% 4.78/4.95 apply (zenon_L299_); trivial.
% 4.78/4.95 (* end of lemma zenon_L341_ *)
% 4.78/4.95 assert (zenon_L342_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> False).
% 4.78/4.95 do 0 intro. intros zenon_H1c3 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H46 zenon_H1ed zenon_H19a zenon_H153 zenon_H11f zenon_H114 zenon_Hb3 zenon_H12e zenon_H113 zenon_Hdf zenon_H140 zenon_H13e zenon_H171 zenon_H165 zenon_H173 zenon_H6c zenon_H152 zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_Hd0 zenon_H94 zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H170 zenon_H1ab zenon_He9 zenon_H172 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1d zenon_H5b zenon_Hb9 zenon_H132 zenon_H137 zenon_H198 zenon_H194 zenon_Hf6 zenon_H16c zenon_H103 zenon_Hef zenon_H28 zenon_H13c zenon_H101 zenon_H118 zenon_H1e zenon_H1c4 zenon_H186 zenon_H4b zenon_H100 zenon_H54 zenon_Hfd zenon_H9d zenon_H82 zenon_H18f zenon_H1c5 zenon_H1ba zenon_Hbe zenon_H1de zenon_H89 zenon_H16b zenon_H1e1 zenon_H1e2 zenon_H175 zenon_H176 zenon_H174 zenon_H177 zenon_H1c0 zenon_H1bd zenon_H1e7 zenon_H122 zenon_H1b6 zenon_Haf zenon_H33 zenon_H19d zenon_H86 zenon_H166 zenon_H1e8 zenon_H1b9 zenon_H1bb zenon_H1bf zenon_H1f1 zenon_H36 zenon_H7b zenon_H1c1 zenon_H1be zenon_H1c2.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H20 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.78/4.95 apply (zenon_L227_); trivial.
% 4.78/4.95 apply (zenon_L332_); trivial.
% 4.78/4.95 apply (zenon_L291_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.78/4.95 apply (zenon_L227_); trivial.
% 4.78/4.95 apply (zenon_L333_); trivial.
% 4.78/4.95 apply (zenon_L296_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L338_); trivial.
% 4.78/4.95 apply (zenon_L292_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L336_); trivial.
% 4.78/4.95 apply (zenon_L295_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H21 | zenon_intro zenon_H38 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L332_); trivial.
% 4.78/4.95 apply (zenon_L291_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.78/4.95 apply (zenon_L333_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L337_); trivial.
% 4.78/4.95 apply (zenon_L292_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L324_); trivial.
% 4.78/4.95 apply (zenon_L295_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H21 | zenon_intro zenon_H4d ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.78/4.95 apply (zenon_L331_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H135 | zenon_intro zenon_H4d ].
% 4.78/4.95 apply (zenon_L330_); trivial.
% 4.78/4.95 apply (zenon_L339_); trivial.
% 4.78/4.95 apply (zenon_L73_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L329_); trivial.
% 4.78/4.95 apply (zenon_L292_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_L323_); trivial.
% 4.78/4.95 apply (zenon_L295_); trivial.
% 4.78/4.95 apply (zenon_L341_); trivial.
% 4.78/4.95 apply (zenon_L298_); trivial.
% 4.78/4.95 (* end of lemma zenon_L342_ *)
% 4.78/4.95 assert (zenon_L343_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.78/4.95 do 0 intro. intros zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H46 zenon_H1ed zenon_H6c zenon_H1ca zenon_Hd7 zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H89 zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H33 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_Hf6 zenon_H194 zenon_H4b zenon_H186 zenon_H198 zenon_Hef zenon_H101 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_He9 zenon_H166 zenon_H86 zenon_H165 zenon_Hbe zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_H132 zenon_H36 zenon_H100 zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_H82 zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H12e zenon_H118 zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H70 zenon_H75 zenon_H113 zenon_H54 zenon_Hfd zenon_H13c zenon_H103 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H5b zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H41 zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1e zenon_H1d zenon_H1c3.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1f | zenon_intro zenon_H16c ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H20 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.78/4.95 apply (zenon_L1_); trivial.
% 4.78/4.95 apply (zenon_L219_); trivial.
% 4.78/4.95 apply (zenon_L138_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f | zenon_intro zenon_H140 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H20 | zenon_intro zenon_Hb4 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.78/4.95 apply (zenon_L1_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H21 | zenon_intro zenon_H4d ].
% 4.78/4.95 apply (zenon_L1_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ].
% 4.78/4.95 apply (zenon_L1_); trivial.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.78/4.95 apply (zenon_L225_); trivial.
% 4.78/4.95 apply (zenon_L226_); trivial.
% 4.78/4.95 apply (zenon_L224_); trivial.
% 4.78/4.95 apply (zenon_L342_); trivial.
% 4.78/4.95 (* end of lemma zenon_L343_ *)
% 4.78/4.95 assert (zenon_L344_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> False).
% 4.78/4.95 do 0 intro. intros zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H33 zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H89 zenon_H1de zenon_H1c5 zenon_H1c4 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_Hd7 zenon_H1ca zenon_H6c zenon_H1ed zenon_H46 zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H41 zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H5b zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H118 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_H82 zenon_Hac zenon_H137 zenon_H94 zenon_Hd0 zenon_H100 zenon_H132 zenon_H7b zenon_H114 zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H101 zenon_Hef zenon_H198 zenon_H186 zenon_H4b zenon_H194 zenon_Hf6 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1e zenon_H1d zenon_H1c3.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f | zenon_intro zenon_H36 ].
% 4.78/4.95 apply (zenon_L223_); trivial.
% 4.78/4.95 apply (zenon_L343_); trivial.
% 4.78/4.95 (* end of lemma zenon_L344_ *)
% 4.78/4.95 assert (zenon_L345_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.78/4.95 do 0 intro. intros zenon_H19c zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H2c zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H38 zenon_H33 zenon_H1d.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5b ].
% 4.78/4.95 apply (zenon_L70_); trivial.
% 4.78/4.95 apply (zenon_L344_); trivial.
% 4.78/4.95 (* end of lemma zenon_L345_ *)
% 4.78/4.95 assert (zenon_L346_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.78/4.95 do 0 intro. intros zenon_H19c zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H2c zenon_H75 zenon_He2 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H38 zenon_H33 zenon_H1d zenon_H1f5.
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.78/4.95 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.78/4.95 apply (zenon_L345_); trivial.
% 4.78/4.95 apply (zenon_L137_); trivial.
% 4.78/4.95 apply (zenon_L189_); trivial.
% 4.78/4.95 (* end of lemma zenon_L346_ *)
% 4.78/4.95 assert (zenon_L347_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H1b8 zenon_H1f5 zenon_H1d zenon_H33 zenon_H38 zenon_H37 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_He2 zenon_H75 zenon_H2c zenon_H76 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4c zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H1c4 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1c3 zenon_H19c.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.78/4.96 apply (zenon_L346_); trivial.
% 4.78/4.96 apply (zenon_L344_); trivial.
% 4.78/4.96 (* end of lemma zenon_L347_ *)
% 4.78/4.96 assert (zenon_L348_ : ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H1c3 zenon_H1c2 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ab zenon_H1ba zenon_H1b6 zenon_H19c zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H1d zenon_H33 zenon_H38 zenon_H37 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4c zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H1b8 zenon_H1b7 zenon_H1bb.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H195 | zenon_intro zenon_H76 ].
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.78/4.96 apply (zenon_L211_); trivial.
% 4.78/4.96 apply (zenon_L215_); trivial.
% 4.78/4.96 apply (zenon_L189_); trivial.
% 4.78/4.96 apply (zenon_L347_); trivial.
% 4.78/4.96 (* end of lemma zenon_L348_ *)
% 4.78/4.96 assert (zenon_L349_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H1c4 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1c2 zenon_H1c3 zenon_H1f5 zenon_H1ab zenon_H1ba zenon_H1b6 zenon_H1bb zenon_H1b7 zenon_H1b8 zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H38 zenon_H33 zenon_H1d zenon_H2c zenon_H28 zenon_H19b zenon_H20 zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19a zenon_H19c zenon_H1bc.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H195 | zenon_intro zenon_H4c ].
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.78/4.96 apply (zenon_L212_); trivial.
% 4.78/4.96 apply (zenon_L215_); trivial.
% 4.78/4.96 apply (zenon_L189_); trivial.
% 4.78/4.96 apply (zenon_L348_); trivial.
% 4.78/4.96 (* end of lemma zenon_L349_ *)
% 4.78/4.96 assert (zenon_L350_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1f zenon_H89 zenon_H4c zenon_H96 zenon_H95 zenon_H94 zenon_H82 zenon_Hd0 zenon_H85 zenon_Hb4 zenon_H100 zenon_H21.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.78/4.96 exact (zenon_H1e zenon_H23).
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.78/4.96 exact (zenon_H1f zenon_H25).
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.78/4.96 exact (zenon_Hb4 zenon_Hb6).
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.78/4.96 apply (zenon_L89_); trivial.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.78/4.96 apply (zenon_L23_); trivial.
% 4.78/4.96 apply (zenon_L24_); trivial.
% 4.78/4.96 exact (zenon_H21 zenon_H26).
% 4.78/4.96 (* end of lemma zenon_L350_ *)
% 4.78/4.96 assert (zenon_L351_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H1c4 zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H2a zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H38 zenon_H33 zenon_H1d.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H2c | zenon_intro zenon_H2c ].
% 4.78/4.96 apply (zenon_L70_); trivial.
% 4.78/4.96 apply (zenon_L70_); trivial.
% 4.78/4.96 (* end of lemma zenon_L351_ *)
% 4.78/4.96 assert (zenon_L352_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1c3 zenon_H1c4 zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H4c zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H75 zenon_He2 zenon_H96 zenon_H95 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H38 zenon_H33 zenon_H1d zenon_H21 zenon_H11f zenon_H12e zenon_H137 zenon_H132 zenon_H135 zenon_H19c.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H85 | zenon_intro zenon_H2c ].
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5b ].
% 4.78/4.96 apply (zenon_L351_); trivial.
% 4.78/4.96 apply (zenon_L91_); trivial.
% 4.78/4.96 apply (zenon_L345_); trivial.
% 4.78/4.96 (* end of lemma zenon_L352_ *)
% 4.78/4.96 assert (zenon_L353_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H19c zenon_H135 zenon_H132 zenon_H137 zenon_H12e zenon_H11f zenon_H33 zenon_H38 zenon_H37 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_He2 zenon_H75 zenon_H76 zenon_H70 zenon_H6c zenon_H7b zenon_H8f zenon_H86 zenon_H117 zenon_H54 zenon_H41 zenon_H46 zenon_H4b zenon_H7c zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1c4 zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1e zenon_H1f zenon_H100 zenon_H96 zenon_H89 zenon_H82 zenon_H95 zenon_Hd0 zenon_H4c zenon_H94 zenon_Hb4 zenon_H21 zenon_H1d.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H85 | zenon_intro zenon_H4d ].
% 4.78/4.96 apply (zenon_L350_); trivial.
% 4.78/4.96 apply (zenon_L352_); trivial.
% 4.78/4.96 (* end of lemma zenon_L353_ *)
% 4.78/4.96 assert (zenon_L354_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1c3 zenon_H1c4 zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H7c zenon_H4b zenon_H46 zenon_H41 zenon_H54 zenon_H117 zenon_H86 zenon_H8f zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H75 zenon_He2 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H33 zenon_H11f zenon_H12e zenon_H137 zenon_H132 zenon_H135 zenon_H19c zenon_H1e zenon_H1f zenon_H100 zenon_H96 zenon_H89 zenon_H82 zenon_H95 zenon_Hd0 zenon_H4c zenon_H94 zenon_Hb4 zenon_H21 zenon_H1d.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H85 | zenon_intro zenon_H38 ].
% 4.78/4.96 apply (zenon_L350_); trivial.
% 4.78/4.96 apply (zenon_L353_); trivial.
% 4.78/4.96 (* end of lemma zenon_L354_ *)
% 4.78/4.96 assert (zenon_L355_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H1f5 zenon_H1d zenon_H21 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H95 zenon_H82 zenon_H89 zenon_H100 zenon_H1f zenon_H1e zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1c3 zenon_H1c4 zenon_H114 zenon_H113 zenon_H110 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H7c zenon_H4b zenon_H46 zenon_H41 zenon_H54 zenon_H117 zenon_H86 zenon_H8f zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H75 zenon_He2 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H33 zenon_H11f zenon_H12e zenon_H137 zenon_H132 zenon_H135 zenon_H19c.
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.78/4.96 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.78/4.96 apply (zenon_L350_); trivial.
% 4.78/4.96 apply (zenon_L354_); trivial.
% 4.78/4.96 apply (zenon_L109_); trivial.
% 4.78/4.96 (* end of lemma zenon_L355_ *)
% 4.78/4.96 assert (zenon_L356_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 4.78/4.96 do 0 intro. intros zenon_H7a zenon_Hd8 zenon_H82.
% 4.78/4.96 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H83 | zenon_intro zenon_H5c ].
% 4.78/4.97 cut (((e2) = (e2)) = ((e0) = (e2))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H82.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H83.
% 4.78/4.97 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.78/4.97 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 4.78/4.97 congruence.
% 4.78/4.97 cut (((op (e1) (e3)) = (e0)) = ((e2) = (e0))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H84.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H7a.
% 4.78/4.97 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.78/4.97 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 4.78/4.97 congruence.
% 4.78/4.97 exact (zenon_H1b5 zenon_Hd8).
% 4.78/4.97 apply zenon_H52. apply refl_equal.
% 4.78/4.97 apply zenon_H5c. apply refl_equal.
% 4.78/4.97 apply zenon_H5c. apply refl_equal.
% 4.78/4.97 (* end of lemma zenon_L356_ *)
% 4.78/4.97 assert (zenon_L357_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H12e zenon_H3f zenon_H82 zenon_H7a zenon_H85 zenon_H76.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H8a | zenon_intro zenon_H12f ].
% 4.78/4.97 apply (zenon_L121_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H130 ].
% 4.78/4.97 apply (zenon_L356_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H81 | zenon_intro zenon_H79 ].
% 4.78/4.97 exact (zenon_H85 zenon_H81).
% 4.78/4.97 exact (zenon_H76 zenon_H79).
% 4.78/4.97 (* end of lemma zenon_L357_ *)
% 4.78/4.97 assert (zenon_L358_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H33 zenon_Hc3 zenon_H36 zenon_H37 zenon_H12e zenon_H82 zenon_H7a zenon_H85 zenon_H76.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 4.78/4.97 exact (zenon_Hc3 zenon_H3a).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 4.78/4.97 exact (zenon_H36 zenon_H3e).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 4.78/4.97 exact (zenon_H37 zenon_H40).
% 4.78/4.97 apply (zenon_L357_); trivial.
% 4.78/4.97 (* end of lemma zenon_L358_ *)
% 4.78/4.97 assert (zenon_L359_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_He9 zenon_Hbe zenon_Hbd zenon_H27 zenon_H132 zenon_H33 zenon_Hc3 zenon_H36 zenon_H37 zenon_H12e zenon_H82 zenon_H85 zenon_H76.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.78/4.97 apply (zenon_L36_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.78/4.97 exact (zenon_Hc3 zenon_H3a).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.78/4.97 apply (zenon_L117_); trivial.
% 4.78/4.97 apply (zenon_L358_); trivial.
% 4.78/4.97 (* end of lemma zenon_L359_ *)
% 4.78/4.97 assert (zenon_L360_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H4b zenon_H179 zenon_H47 zenon_H46 zenon_H4c zenon_H87 zenon_H80.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H43 | zenon_intro zenon_H4e ].
% 4.78/4.97 exact (zenon_H179 zenon_H43).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H48 | zenon_intro zenon_H4f ].
% 4.78/4.97 apply (zenon_L5_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 4.78/4.97 exact (zenon_H4c zenon_H51).
% 4.78/4.97 apply (zenon_L267_); trivial.
% 4.78/4.97 (* end of lemma zenon_L360_ *)
% 4.78/4.97 assert (zenon_L361_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1f6 zenon_H72.
% 4.78/4.97 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 4.78/4.97 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 4.78/4.97 congruence.
% 4.78/4.97 apply zenon_H56. apply refl_equal.
% 4.78/4.97 exact (zenon_H140 zenon_H72).
% 4.78/4.97 (* end of lemma zenon_L361_ *)
% 4.78/4.97 assert (zenon_L362_ : (~((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e0) (e1)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1f7 zenon_H72 zenon_H10e.
% 4.78/4.97 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 4.78/4.97 congruence.
% 4.78/4.97 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1cf.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H10e.
% 4.78/4.97 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.78/4.97 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 4.78/4.97 congruence.
% 4.78/4.97 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1f8.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H149.
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 4.78/4.97 congruence.
% 4.78/4.97 apply (zenon_L361_); trivial.
% 4.78/4.97 apply zenon_H14a. apply refl_equal.
% 4.78/4.97 apply zenon_H14a. apply refl_equal.
% 4.78/4.97 apply zenon_H52. apply refl_equal.
% 4.78/4.97 exact (zenon_H140 zenon_H72).
% 4.78/4.97 (* end of lemma zenon_L362_ *)
% 4.78/4.97 assert (zenon_L363_ : ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H5e zenon_H10e zenon_H72.
% 4.78/4.97 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1f9 ].
% 4.78/4.97 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1d2.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H149.
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 4.78/4.97 congruence.
% 4.78/4.97 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1cf.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H10e.
% 4.78/4.97 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 4.78/4.97 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 4.78/4.97 congruence.
% 4.78/4.97 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1f8.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H149.
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 4.78/4.97 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 4.78/4.97 congruence.
% 4.78/4.97 apply (zenon_L361_); trivial.
% 4.78/4.97 apply zenon_H14a. apply refl_equal.
% 4.78/4.97 apply zenon_H14a. apply refl_equal.
% 4.78/4.97 apply zenon_H52. apply refl_equal.
% 4.78/4.97 apply zenon_H14a. apply refl_equal.
% 4.78/4.97 apply zenon_H14a. apply refl_equal.
% 4.78/4.97 apply (zenon_notand_s _ _ zenon_H1f9); [ zenon_intro zenon_H73 | zenon_intro zenon_H14d ].
% 4.78/4.97 apply zenon_H73. apply sym_equal. exact zenon_H72.
% 4.78/4.97 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14e | zenon_intro zenon_H14f ].
% 4.78/4.97 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((e2) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H14d.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H14e.
% 4.78/4.97 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 4.78/4.97 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 4.78/4.97 congruence.
% 4.78/4.97 cut (((op (e0) (e1)) = (e2)) = ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e2))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H150.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H5e.
% 4.78/4.97 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 4.78/4.97 cut (((op (e0) (e1)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1fa].
% 4.78/4.97 congruence.
% 4.78/4.97 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14e | zenon_intro zenon_H14f ].
% 4.78/4.97 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((op (e0) (e1)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1fa.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H14e.
% 4.78/4.97 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 4.78/4.97 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 4.78/4.97 congruence.
% 4.78/4.97 apply (zenon_L362_); trivial.
% 4.78/4.97 apply zenon_H14f. apply refl_equal.
% 4.78/4.97 apply zenon_H14f. apply refl_equal.
% 4.78/4.97 apply zenon_H5c. apply refl_equal.
% 4.78/4.97 apply zenon_H14f. apply refl_equal.
% 4.78/4.97 apply zenon_H14f. apply refl_equal.
% 4.78/4.97 (* end of lemma zenon_L363_ *)
% 4.78/4.97 assert (zenon_L364_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_Hdf zenon_H80 zenon_H4c zenon_H46 zenon_H47 zenon_H179 zenon_H4b zenon_H135 zenon_H2c zenon_H76 zenon_H142 zenon_H145 zenon_H75 zenon_H5e zenon_H10e.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H87 | zenon_intro zenon_He0 ].
% 4.78/4.97 apply (zenon_L360_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H71 | zenon_intro zenon_He1 ].
% 4.78/4.97 exact (zenon_H135 zenon_H71).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H72 ].
% 4.78/4.97 apply (zenon_L112_); trivial.
% 4.78/4.97 apply (zenon_L363_); trivial.
% 4.78/4.97 (* end of lemma zenon_L364_ *)
% 4.78/4.97 assert (zenon_L365_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H117 zenon_H21 zenon_H85 zenon_H82 zenon_H12e zenon_H37 zenon_H36 zenon_Hc3 zenon_H33 zenon_H10e zenon_H5e zenon_H75 zenon_H142 zenon_H76 zenon_H2c zenon_H135 zenon_H4b zenon_H179 zenon_H47 zenon_H46 zenon_H4c zenon_Hdf zenon_H145.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H26 | zenon_intro zenon_H11a ].
% 4.78/4.97 exact (zenon_H21 zenon_H26).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H7a | zenon_intro zenon_H11b ].
% 4.78/4.97 apply (zenon_L358_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H80 | zenon_intro zenon_H6d ].
% 4.78/4.97 apply (zenon_L364_); trivial.
% 4.78/4.97 exact (zenon_H145 zenon_H6d).
% 4.78/4.97 (* end of lemma zenon_L365_ *)
% 4.78/4.97 assert (zenon_L366_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1e1 zenon_H27 zenon_Hf7.
% 4.78/4.97 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1e1.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H27.
% 4.78/4.97 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 4.78/4.97 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 4.78/4.97 congruence.
% 4.78/4.97 apply zenon_H134. apply refl_equal.
% 4.78/4.97 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 4.78/4.97 (* end of lemma zenon_L366_ *)
% 4.78/4.97 assert (zenon_L367_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H8a zenon_H5e zenon_H1fb.
% 4.78/4.97 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H1fc | zenon_intro zenon_H6f ].
% 4.78/4.97 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1fb.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H1fc.
% 4.78/4.97 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.78/4.97 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fd].
% 4.78/4.97 congruence.
% 4.78/4.97 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e0) (e1)))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H1fd.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_H8a.
% 4.78/4.97 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fe].
% 4.78/4.97 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 4.78/4.97 congruence.
% 4.78/4.97 apply zenon_H6f. apply refl_equal.
% 4.78/4.97 apply zenon_H1fe. apply sym_equal. exact zenon_H5e.
% 4.78/4.97 apply zenon_H6f. apply refl_equal.
% 4.78/4.97 apply zenon_H6f. apply refl_equal.
% 4.78/4.97 (* end of lemma zenon_L367_ *)
% 4.78/4.97 assert (zenon_L368_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H19d zenon_Hd1 zenon_H3f.
% 4.78/4.97 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H19d.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_Hd1.
% 4.78/4.97 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H15e].
% 4.78/4.97 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 4.78/4.97 congruence.
% 4.78/4.97 apply zenon_Hd3. apply refl_equal.
% 4.78/4.97 apply zenon_H15e. apply sym_equal. exact zenon_H3f.
% 4.78/4.97 (* end of lemma zenon_L368_ *)
% 4.78/4.97 assert (zenon_L369_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H33 zenon_Hc3 zenon_H36 zenon_H37 zenon_H19d zenon_Hd1.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 4.78/4.97 exact (zenon_Hc3 zenon_H3a).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 4.78/4.97 exact (zenon_H36 zenon_H3e).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 4.78/4.97 exact (zenon_H37 zenon_H40).
% 4.78/4.97 apply (zenon_L368_); trivial.
% 4.78/4.97 (* end of lemma zenon_L369_ *)
% 4.78/4.97 assert (zenon_L370_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H117 zenon_H21 zenon_H76 zenon_H85 zenon_H82 zenon_H3f zenon_H12e zenon_H87 zenon_H4c zenon_H46 zenon_H47 zenon_H179 zenon_H4b zenon_H145.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H26 | zenon_intro zenon_H11a ].
% 4.78/4.97 exact (zenon_H21 zenon_H26).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H7a | zenon_intro zenon_H11b ].
% 4.78/4.97 apply (zenon_L357_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H80 | zenon_intro zenon_H6d ].
% 4.78/4.97 apply (zenon_L360_); trivial.
% 4.78/4.97 exact (zenon_H145 zenon_H6d).
% 4.78/4.97 (* end of lemma zenon_L370_ *)
% 4.78/4.97 assert (zenon_L371_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H75 zenon_H145 zenon_Hd5 zenon_H142 zenon_H8a zenon_H6c zenon_H2c.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.78/4.97 exact (zenon_H145 zenon_H6d).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.78/4.97 apply (zenon_L111_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.78/4.97 apply (zenon_L251_); trivial.
% 4.78/4.97 exact (zenon_H2c zenon_H31).
% 4.78/4.97 (* end of lemma zenon_L371_ *)
% 4.78/4.97 assert (zenon_L372_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H16b zenon_H9d zenon_H98 zenon_H9c zenon_Hd0 zenon_H47 zenon_H46 zenon_H75 zenon_H145 zenon_H142 zenon_H8a zenon_H6c zenon_H2c.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H16d ].
% 4.78/4.97 apply (zenon_L75_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H16e ].
% 4.78/4.97 apply (zenon_L127_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H48 | zenon_intro zenon_Hd5 ].
% 4.78/4.97 apply (zenon_L5_); trivial.
% 4.78/4.97 apply (zenon_L371_); trivial.
% 4.78/4.97 (* end of lemma zenon_L372_ *)
% 4.78/4.97 assert (zenon_L373_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1ff zenon_H1f zenon_H2c zenon_H6c zenon_H8a zenon_H142 zenon_H145 zenon_H75 zenon_H46 zenon_H47 zenon_Hd0 zenon_H98 zenon_H9d zenon_H16b zenon_H72 zenon_H10e zenon_H33 zenon_Hc3 zenon_H36 zenon_H37 zenon_H19d.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 4.78/4.97 exact (zenon_H1f zenon_H25).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H9c | zenon_intro zenon_H201 ].
% 4.78/4.97 apply (zenon_L372_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd1 ].
% 4.78/4.97 apply (zenon_L363_); trivial.
% 4.78/4.97 apply (zenon_L369_); trivial.
% 4.78/4.97 (* end of lemma zenon_L373_ *)
% 4.78/4.97 assert (zenon_L374_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_Hdf zenon_H4b zenon_H179 zenon_H4c zenon_H12e zenon_H3f zenon_H82 zenon_H85 zenon_H21 zenon_H117 zenon_H135 zenon_H76 zenon_H1ff zenon_H1f zenon_H2c zenon_H6c zenon_H8a zenon_H142 zenon_H145 zenon_H75 zenon_H46 zenon_H47 zenon_Hd0 zenon_H98 zenon_H9d zenon_H16b zenon_H10e zenon_H33 zenon_Hc3 zenon_H36 zenon_H37 zenon_H19d.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H87 | zenon_intro zenon_He0 ].
% 4.78/4.97 apply (zenon_L370_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H71 | zenon_intro zenon_He1 ].
% 4.78/4.97 exact (zenon_H135 zenon_H71).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H72 ].
% 4.78/4.97 apply (zenon_L112_); trivial.
% 4.78/4.97 apply (zenon_L373_); trivial.
% 4.78/4.97 (* end of lemma zenon_L374_ *)
% 4.78/4.97 assert (zenon_L375_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H75 zenon_H145 zenon_Hd5 zenon_H142 zenon_Ha5 zenon_Hf9 zenon_H2c.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H6d | zenon_intro zenon_H77 ].
% 4.78/4.97 exact (zenon_H145 zenon_H6d).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H72 | zenon_intro zenon_H78 ].
% 4.78/4.97 apply (zenon_L111_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 4.78/4.97 apply (zenon_L175_); trivial.
% 4.78/4.97 exact (zenon_H2c zenon_H31).
% 4.78/4.97 (* end of lemma zenon_L375_ *)
% 4.78/4.97 assert (zenon_L376_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1ff zenon_H1f zenon_H2c zenon_H6c zenon_H8a zenon_H142 zenon_H145 zenon_H75 zenon_H46 zenon_H47 zenon_H98 zenon_H9d zenon_H16b zenon_H72 zenon_H10e zenon_Hd0 zenon_H5d.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H25 | zenon_intro zenon_H200 ].
% 4.78/4.97 exact (zenon_H1f zenon_H25).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H9c | zenon_intro zenon_H201 ].
% 4.78/4.97 apply (zenon_L372_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd1 ].
% 4.78/4.97 apply (zenon_L363_); trivial.
% 4.78/4.97 apply (zenon_L39_); trivial.
% 4.78/4.97 (* end of lemma zenon_L376_ *)
% 4.78/4.97 assert (zenon_L377_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_Hdf zenon_H80 zenon_H4c zenon_H179 zenon_H4b zenon_H135 zenon_Hf9 zenon_Ha5 zenon_H1ff zenon_H1f zenon_H2c zenon_H6c zenon_H8a zenon_H142 zenon_H145 zenon_H75 zenon_H46 zenon_H47 zenon_H98 zenon_H9d zenon_H16b zenon_H10e zenon_Hd0 zenon_H5d.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H87 | zenon_intro zenon_He0 ].
% 4.78/4.97 apply (zenon_L360_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H71 | zenon_intro zenon_He1 ].
% 4.78/4.97 exact (zenon_H135 zenon_H71).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H72 ].
% 4.78/4.97 apply (zenon_L375_); trivial.
% 4.78/4.97 apply (zenon_L376_); trivial.
% 4.78/4.97 (* end of lemma zenon_L377_ *)
% 4.78/4.97 assert (zenon_L378_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H117 zenon_H21 zenon_H76 zenon_H85 zenon_H82 zenon_H12e zenon_H37 zenon_H36 zenon_Hc3 zenon_H33 zenon_H5d zenon_Hd0 zenon_H10e zenon_H16b zenon_H9d zenon_H98 zenon_H47 zenon_H46 zenon_H75 zenon_H142 zenon_H8a zenon_H6c zenon_H2c zenon_H1f zenon_H1ff zenon_Ha5 zenon_Hf9 zenon_H135 zenon_H4b zenon_H179 zenon_H4c zenon_Hdf zenon_H145.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H26 | zenon_intro zenon_H11a ].
% 4.78/4.97 exact (zenon_H21 zenon_H26).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H7a | zenon_intro zenon_H11b ].
% 4.78/4.97 apply (zenon_L358_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H80 | zenon_intro zenon_H6d ].
% 4.78/4.97 apply (zenon_L377_); trivial.
% 4.78/4.97 exact (zenon_H145 zenon_H6d).
% 4.78/4.97 (* end of lemma zenon_L378_ *)
% 4.78/4.97 assert (zenon_L379_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (e1))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H7b zenon_Hb9 zenon_H34 zenon_H2a zenon_H117 zenon_H21 zenon_H76 zenon_H85 zenon_H82 zenon_H12e zenon_H37 zenon_H36 zenon_Hc3 zenon_H33 zenon_Hd0 zenon_H10e zenon_H16b zenon_H9d zenon_H98 zenon_H46 zenon_H75 zenon_H142 zenon_H8a zenon_H6c zenon_H2c zenon_H1f zenon_H1ff zenon_Hf9 zenon_H4b zenon_H179 zenon_H4c zenon_Hdf zenon_H145 zenon_H19d zenon_H202 zenon_H96 zenon_H1fb zenon_Hac zenon_H135.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.78/4.97 apply (zenon_L110_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.78/4.97 exact (zenon_H36 zenon_H3e).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H5e | zenon_intro zenon_Had ].
% 4.78/4.97 apply (zenon_L367_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H40 | zenon_intro zenon_Hae ].
% 4.78/4.97 exact (zenon_H37 zenon_H40).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha5 ].
% 4.78/4.97 exact (zenon_H96 zenon_H9a).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H203 ].
% 4.78/4.97 apply (zenon_L369_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H3f | zenon_intro zenon_H204 ].
% 4.78/4.97 apply (zenon_L374_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H5d | zenon_intro zenon_H30 ].
% 4.78/4.97 apply (zenon_L378_); trivial.
% 4.78/4.97 exact (zenon_H2a zenon_H30).
% 4.78/4.97 exact (zenon_H135 zenon_H71).
% 4.78/4.97 (* end of lemma zenon_L379_ *)
% 4.78/4.97 assert (zenon_L380_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H94 zenon_H205 zenon_Hb0 zenon_H96 zenon_H4c zenon_H85.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ].
% 4.78/4.97 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hb2 ].
% 4.78/4.97 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H205.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_Hbf.
% 4.78/4.97 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.78/4.97 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 4.78/4.97 congruence.
% 4.78/4.97 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 4.78/4.97 intro zenon_D_pnotp.
% 4.78/4.97 apply zenon_H206.
% 4.78/4.97 rewrite <- zenon_D_pnotp.
% 4.78/4.97 exact zenon_Hb0.
% 4.78/4.97 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 4.78/4.97 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 4.78/4.97 congruence.
% 4.78/4.97 apply zenon_Hb2. apply refl_equal.
% 4.78/4.97 apply zenon_H207. apply sym_equal. exact zenon_H98.
% 4.78/4.97 apply zenon_Hb2. apply refl_equal.
% 4.78/4.97 apply zenon_Hb2. apply refl_equal.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 4.78/4.97 exact (zenon_H96 zenon_H9a).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H51 | zenon_intro zenon_H81 ].
% 4.78/4.97 exact (zenon_H4c zenon_H51).
% 4.78/4.97 exact (zenon_H85 zenon_H81).
% 4.78/4.97 (* end of lemma zenon_L380_ *)
% 4.78/4.97 assert (zenon_L381_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_He9 zenon_H1ab zenon_H42 zenon_H27 zenon_H132 zenon_H33 zenon_Hc3 zenon_H36 zenon_H37 zenon_H12e zenon_H82 zenon_H85 zenon_H76.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H34 | zenon_intro zenon_Hea ].
% 4.78/4.97 apply (zenon_L179_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H3a | zenon_intro zenon_Heb ].
% 4.78/4.97 exact (zenon_Hc3 zenon_H3a).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He5 | zenon_intro zenon_H7a ].
% 4.78/4.97 apply (zenon_L117_); trivial.
% 4.78/4.97 apply (zenon_L358_); trivial.
% 4.78/4.97 (* end of lemma zenon_L381_ *)
% 4.78/4.97 assert (zenon_L382_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 4.78/4.97 do 0 intro. intros zenon_Hdf zenon_H13c zenon_H8c zenon_H135 zenon_H2c zenon_H76 zenon_H142 zenon_H145 zenon_H75 zenon_H5e zenon_H10e.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H87 | zenon_intro zenon_He0 ].
% 4.78/4.97 apply (zenon_L95_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H71 | zenon_intro zenon_He1 ].
% 4.78/4.97 exact (zenon_H135 zenon_H71).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H72 ].
% 4.78/4.97 apply (zenon_L112_); trivial.
% 4.78/4.97 apply (zenon_L363_); trivial.
% 4.78/4.97 (* end of lemma zenon_L382_ *)
% 4.78/4.97 assert (zenon_L383_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1de zenon_H85 zenon_H82 zenon_H12e zenon_H37 zenon_H36 zenon_Hc3 zenon_H33 zenon_H132 zenon_Hbe zenon_He9 zenon_H5e zenon_H75 zenon_H142 zenon_H76 zenon_H2c zenon_H135 zenon_H8c zenon_H13c zenon_Hdf zenon_H27 zenon_H1e1 zenon_H145.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1df ].
% 4.78/4.97 apply (zenon_L359_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H10e | zenon_intro zenon_H1e0 ].
% 4.78/4.97 apply (zenon_L382_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H6d ].
% 4.78/4.97 apply (zenon_L366_); trivial.
% 4.78/4.97 exact (zenon_H145 zenon_H6d).
% 4.78/4.97 (* end of lemma zenon_L383_ *)
% 4.78/4.97 assert (zenon_L384_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1b8 zenon_H174 zenon_H173 zenon_H171 zenon_H154 zenon_H153 zenon_H103 zenon_H13c zenon_Hfd zenon_H54 zenon_H113 zenon_H75 zenon_H70 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H1d zenon_H118 zenon_H11f zenon_H76 zenon_H12e zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_H82 zenon_Hac zenon_Hb4 zenon_H137 zenon_H94 zenon_Hd0 zenon_H100 zenon_H132 zenon_H7b zenon_H114 zenon_H1f zenon_H1e zenon_H152 zenon_H170 zenon_Hbe zenon_H165 zenon_H86 zenon_H166 zenon_He9 zenon_H16b zenon_H16f zenon_H172 zenon_H1b7 zenon_H122 zenon_Hc3 zenon_H37 zenon_H38 zenon_H33.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.78/4.97 apply (zenon_L189_); trivial.
% 4.78/4.97 apply (zenon_L208_); trivial.
% 4.78/4.97 (* end of lemma zenon_L384_ *)
% 4.78/4.97 assert (zenon_L385_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1f5 zenon_H19c zenon_H132 zenon_H137 zenon_H12e zenon_H11f zenon_H21 zenon_H1d zenon_H33 zenon_H38 zenon_H37 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_He2 zenon_H75 zenon_H76 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4c zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H1c4 zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H135 | zenon_intro zenon_H2c ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.78/4.97 apply (zenon_L352_); trivial.
% 4.78/4.97 apply (zenon_L109_); trivial.
% 4.78/4.97 apply (zenon_L189_); trivial.
% 4.78/4.97 apply (zenon_L346_); trivial.
% 4.78/4.97 (* end of lemma zenon_L385_ *)
% 4.78/4.97 assert (zenon_L386_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1f5 zenon_H1d zenon_H21 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H82 zenon_H89 zenon_H100 zenon_H1f zenon_H1e zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1c3 zenon_H1c4 zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H7c zenon_H4b zenon_H46 zenon_H41 zenon_H54 zenon_H117 zenon_H86 zenon_H8f zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H75 zenon_He2 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H38 zenon_H33 zenon_H11f zenon_H12e zenon_H137 zenon_H132 zenon_H19c.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H135 | zenon_intro zenon_H4d ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.78/4.97 apply (zenon_L353_); trivial.
% 4.78/4.97 apply (zenon_L109_); trivial.
% 4.78/4.97 apply (zenon_L189_); trivial.
% 4.78/4.97 apply (zenon_L385_); trivial.
% 4.78/4.97 (* end of lemma zenon_L386_ *)
% 4.78/4.97 assert (zenon_L387_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1b8 zenon_H19c zenon_H132 zenon_H137 zenon_H12e zenon_H11f zenon_H33 zenon_H38 zenon_H37 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_He2 zenon_H75 zenon_H76 zenon_H70 zenon_H6c zenon_H7b zenon_H8f zenon_H86 zenon_H117 zenon_H54 zenon_H41 zenon_H46 zenon_H4b zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1c4 zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1e zenon_H1f zenon_H100 zenon_H89 zenon_H82 zenon_Hd0 zenon_H4c zenon_H94 zenon_Hb4 zenon_H1d zenon_H1f5.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H21 | zenon_intro zenon_H4d ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.78/4.97 apply (zenon_L386_); trivial.
% 4.78/4.97 apply (zenon_L344_); trivial.
% 4.78/4.97 apply (zenon_L384_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.78/4.97 apply (zenon_L385_); trivial.
% 4.78/4.97 apply (zenon_L207_); trivial.
% 4.78/4.97 apply (zenon_L384_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.78/4.97 apply (zenon_L347_); trivial.
% 4.78/4.97 apply (zenon_L384_); trivial.
% 4.78/4.97 (* end of lemma zenon_L387_ *)
% 4.78/4.97 assert (zenon_L388_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1f5 zenon_H89 zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H177 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1c3 zenon_H1c4 zenon_H110 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H4b zenon_H46 zenon_H41 zenon_H8f zenon_H6c zenon_He2 zenon_H35 zenon_H19c zenon_H1d zenon_H21 zenon_Hb4 zenon_H103 zenon_He9 zenon_H12e zenon_H76 zenon_H82 zenon_H132 zenon_Hbe zenon_Hdf zenon_H145 zenon_H142 zenon_H75 zenon_H135 zenon_H13c zenon_H1e1 zenon_H1de zenon_H54 zenon_Hc3 zenon_H36 zenon_H37 zenon_H19d zenon_H33 zenon_H104 zenon_Hfd zenon_H100 zenon_H1f zenon_H1e zenon_H1b8 zenon_H174 zenon_H173 zenon_H171 zenon_H154 zenon_H153 zenon_H113 zenon_H70 zenon_H117 zenon_H13e zenon_H118 zenon_H11f zenon_Hb9 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_H4c zenon_Ha0 zenon_Hac zenon_H137 zenon_H94 zenon_Hd0 zenon_H7b zenon_H114 zenon_H152 zenon_H170 zenon_H165 zenon_H86 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H1b7 zenon_H122 zenon_H1e8.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H85 | zenon_intro zenon_H38 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H2c | zenon_intro zenon_H38 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.78/4.97 exact (zenon_H1e zenon_H23).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.78/4.97 exact (zenon_H1f zenon_H25).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.78/4.97 exact (zenon_Hb4 zenon_Hb6).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.78/4.97 exact (zenon_H104 zenon_H108).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.78/4.97 apply (zenon_L369_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.78/4.97 apply (zenon_L53_); trivial.
% 4.78/4.97 apply (zenon_L383_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.78/4.97 apply (zenon_L23_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 4.78/4.97 exact (zenon_H104 zenon_H108).
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H109 ].
% 4.78/4.97 apply (zenon_L369_); trivial.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hed | zenon_intro zenon_H8c ].
% 4.78/4.97 apply (zenon_L53_); trivial.
% 4.78/4.97 apply (zenon_L115_); trivial.
% 4.78/4.97 exact (zenon_H21 zenon_H26).
% 4.78/4.97 apply (zenon_L384_); trivial.
% 4.78/4.97 apply (zenon_L387_); trivial.
% 4.78/4.97 (* end of lemma zenon_L388_ *)
% 4.78/4.97 assert (zenon_L389_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1f5 zenon_H1d zenon_H21 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H95 zenon_H82 zenon_H89 zenon_H100 zenon_H1f zenon_H1e zenon_H19c zenon_H135 zenon_H132 zenon_H137 zenon_H12e zenon_H11f zenon_H33 zenon_H37 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_He2 zenon_H75 zenon_H76 zenon_H70 zenon_H6c zenon_H7b zenon_H8f zenon_H86 zenon_H117 zenon_H54 zenon_H41 zenon_H46 zenon_H4b zenon_H7c zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1c4 zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.78/4.97 apply (zenon_L354_); trivial.
% 4.78/4.97 apply (zenon_L109_); trivial.
% 4.78/4.97 (* end of lemma zenon_L389_ *)
% 4.78/4.97 assert (zenon_L390_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1e8 zenon_H122 zenon_H1b7 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H86 zenon_H165 zenon_H170 zenon_H152 zenon_H114 zenon_H7b zenon_Hd0 zenon_H94 zenon_H137 zenon_Hac zenon_Ha0 zenon_H4c zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb9 zenon_H11f zenon_H118 zenon_H13e zenon_H117 zenon_H70 zenon_H113 zenon_H153 zenon_H154 zenon_H171 zenon_H173 zenon_H174 zenon_H1b8 zenon_H1e zenon_H1f zenon_H100 zenon_Hfd zenon_H104 zenon_H33 zenon_H19d zenon_H37 zenon_H36 zenon_Hc3 zenon_H54 zenon_H1de zenon_H1e1 zenon_H13c zenon_H75 zenon_H142 zenon_H145 zenon_Hdf zenon_Hbe zenon_H132 zenon_H82 zenon_H76 zenon_H12e zenon_He9 zenon_H103 zenon_Hb4 zenon_H21 zenon_H1d zenon_H19c zenon_H35 zenon_He2 zenon_H6c zenon_H8f zenon_H41 zenon_H46 zenon_H4b zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_H110 zenon_H1c4 zenon_H1c3 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H177 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c5 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H89 zenon_H1f5.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H135 | zenon_intro zenon_H38 ].
% 4.78/4.97 apply (zenon_L388_); trivial.
% 4.78/4.97 apply (zenon_L384_); trivial.
% 4.78/4.97 (* end of lemma zenon_L390_ *)
% 4.78/4.97 assert (zenon_L391_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e1) (e1)) = (e0))) -> False).
% 4.78/4.97 do 0 intro. intros zenon_H1f5 zenon_H1d zenon_H21 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H82 zenon_H89 zenon_H100 zenon_H1f zenon_H1e zenon_H19c zenon_H132 zenon_H137 zenon_H12e zenon_H11f zenon_H33 zenon_H37 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_He2 zenon_H75 zenon_H76 zenon_H70 zenon_H6c zenon_H7b zenon_H8f zenon_H86 zenon_H117 zenon_H54 zenon_H41 zenon_H46 zenon_H4b zenon_H7c zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1c4 zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1b8 zenon_Hc3.
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H135 | zenon_intro zenon_H38 ].
% 4.78/4.97 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.78/4.97 apply (zenon_L389_); trivial.
% 4.78/4.97 apply (zenon_L390_); trivial.
% 4.78/4.97 apply (zenon_L386_); trivial.
% 4.78/4.97 (* end of lemma zenon_L391_ *)
% 4.78/4.97 assert (zenon_L392_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/4.98 do 0 intro. intros zenon_H1f5 zenon_H1d zenon_H21 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H82 zenon_H89 zenon_H100 zenon_H1f zenon_H1e zenon_H19c zenon_H132 zenon_H137 zenon_H12e zenon_H11f zenon_H33 zenon_H37 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_He2 zenon_H75 zenon_H76 zenon_H70 zenon_H6c zenon_H7b zenon_H8f zenon_H86 zenon_H117 zenon_H54 zenon_H41 zenon_H46 zenon_H4b zenon_H7c zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1c4 zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1b8.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H135 | zenon_intro zenon_H38 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.83/4.98 apply (zenon_L389_); trivial.
% 4.83/4.98 apply (zenon_L391_); trivial.
% 4.83/4.98 apply (zenon_L386_); trivial.
% 4.83/4.98 (* end of lemma zenon_L392_ *)
% 4.83/4.98 assert (zenon_L393_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/4.98 do 0 intro. intros zenon_H1f5 zenon_H1d zenon_H21 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H82 zenon_H89 zenon_H100 zenon_H1f zenon_H1e zenon_H19c zenon_H132 zenon_H137 zenon_H12e zenon_H11f zenon_H33 zenon_H37 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_He2 zenon_H75 zenon_H76 zenon_H70 zenon_H6c zenon_H7b zenon_H8f zenon_H86 zenon_H117 zenon_H54 zenon_H41 zenon_H46 zenon_H4b zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1c4 zenon_H1c3 zenon_H1b7 zenon_H1c2 zenon_H1c0 zenon_H1b6 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H28 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H19a zenon_H1ba zenon_H1ab zenon_H1bb zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1b8.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_L392_); trivial.
% 4.83/4.98 apply (zenon_L206_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_L391_); trivial.
% 4.83/4.98 apply (zenon_L206_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_L390_); trivial.
% 4.83/4.98 apply (zenon_L135_); trivial.
% 4.83/4.98 (* end of lemma zenon_L393_ *)
% 4.83/4.98 assert (zenon_L394_ : ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/4.98 do 0 intro. intros zenon_H1b8 zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1c3 zenon_H1c4 zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H4b zenon_H46 zenon_H41 zenon_H54 zenon_H117 zenon_H86 zenon_H8f zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H75 zenon_He2 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H37 zenon_H33 zenon_H11f zenon_H12e zenon_H137 zenon_H132 zenon_H19c zenon_H1e zenon_H1f zenon_H100 zenon_H89 zenon_H82 zenon_Hd0 zenon_H4c zenon_H94 zenon_Hb4 zenon_H1d zenon_H1f5.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H21 | zenon_intro zenon_H38 ].
% 4.83/4.98 apply (zenon_L393_); trivial.
% 4.83/4.98 apply (zenon_L387_); trivial.
% 4.83/4.98 (* end of lemma zenon_L394_ *)
% 4.83/4.98 assert (zenon_L395_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> False).
% 4.83/4.98 do 0 intro. intros zenon_H1d zenon_H100 zenon_Hac zenon_H19d zenon_H16b zenon_H6c zenon_Hd0 zenon_H9d zenon_H1ff zenon_Hf9 zenon_H202 zenon_H1fb zenon_H94 zenon_H205 zenon_Hb3 zenon_Hb9 zenon_H36 zenon_H1de zenon_H1e1 zenon_H21 zenon_Hdf zenon_H145 zenon_H142 zenon_H75 zenon_H135 zenon_H179 zenon_H46 zenon_H4c zenon_H4b zenon_H117 zenon_Hbe zenon_Hc3 zenon_H132 zenon_H33 zenon_H82 zenon_H76 zenon_H12e zenon_H37 zenon_He9 zenon_H7b zenon_Hb4 zenon_H1ab zenon_H114 zenon_H1f zenon_H1e zenon_H1f5 zenon_H89 zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ba zenon_H19a zenon_H177 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1c3 zenon_H1c4 zenon_H110 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_H101 zenon_H41 zenon_H8f zenon_He2 zenon_H35 zenon_H19c zenon_H103 zenon_H13c zenon_H54 zenon_Hfd zenon_H1b8 zenon_H174 zenon_H173 zenon_H171 zenon_H154 zenon_H153 zenon_H113 zenon_H70 zenon_H13e zenon_H118 zenon_H11f zenon_Haf zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_H137 zenon_H152 zenon_H170 zenon_H165 zenon_H86 zenon_H166 zenon_H16f zenon_H172 zenon_H1b7 zenon_H122 zenon_H1e8.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H85 | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H2a | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H2c | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 4.83/4.98 exact (zenon_H1e zenon_H23).
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 4.83/4.98 exact (zenon_H1f zenon_H25).
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H23 | zenon_intro zenon_H115 ].
% 4.83/4.98 exact (zenon_H1e zenon_H23).
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H34 | zenon_intro zenon_H116 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H105 ].
% 4.83/4.98 exact (zenon_Hb4 zenon_Hb6).
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H5e | zenon_intro zenon_H106 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 4.83/4.98 apply (zenon_L110_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H3e | zenon_intro zenon_H7f ].
% 4.83/4.98 exact (zenon_H36 zenon_H3e).
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H47 | zenon_intro zenon_H71 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1df ].
% 4.83/4.98 apply (zenon_L359_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H10e | zenon_intro zenon_H1e0 ].
% 4.83/4.98 apply (zenon_L365_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H6d ].
% 4.83/4.98 apply (zenon_L366_); trivial.
% 4.83/4.98 exact (zenon_H145 zenon_H6d).
% 4.83/4.98 exact (zenon_H135 zenon_H71).
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H92 | zenon_intro zenon_H8a ].
% 4.83/4.98 apply (zenon_L23_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ].
% 4.83/4.98 exact (zenon_Hb4 zenon_Hb6).
% 4.83/4.98 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb7 ].
% 4.83/4.98 apply (zenon_L52_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H98 | zenon_intro zenon_Hb0 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1df ].
% 4.83/4.98 apply (zenon_L36_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H10e | zenon_intro zenon_H1e0 ].
% 4.83/4.98 apply (zenon_L379_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H6d ].
% 4.83/4.98 apply (zenon_L366_); trivial.
% 4.83/4.98 exact (zenon_H145 zenon_H6d).
% 4.83/4.98 apply (zenon_L380_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H42 | zenon_intro zenon_Hbd ].
% 4.83/4.98 apply (zenon_L381_); trivial.
% 4.83/4.98 apply (zenon_L359_); trivial.
% 4.83/4.98 exact (zenon_H21 zenon_H26).
% 4.83/4.98 apply (zenon_L388_); trivial.
% 4.83/4.98 apply (zenon_L135_); trivial.
% 4.83/4.98 apply (zenon_L394_); trivial.
% 4.83/4.98 apply (zenon_L132_); trivial.
% 4.83/4.98 (* end of lemma zenon_L395_ *)
% 4.83/4.98 assert (zenon_L396_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/4.98 do 0 intro. intros zenon_H1f5 zenon_H1d zenon_H21 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H82 zenon_H89 zenon_H100 zenon_H1f zenon_H1e zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1c3 zenon_H1c4 zenon_H114 zenon_H113 zenon_H110 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H7c zenon_H4b zenon_H46 zenon_H41 zenon_H54 zenon_H117 zenon_H86 zenon_H8f zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H75 zenon_He2 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H33 zenon_H11f zenon_H12e zenon_H137 zenon_H132 zenon_H19c zenon_H1ff zenon_H202 zenon_H1fb zenon_H205 zenon_H179 zenon_Hc3 zenon_H1b8.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.83/4.98 apply (zenon_L355_); trivial.
% 4.83/4.98 apply (zenon_L395_); trivial.
% 4.83/4.98 apply (zenon_L391_); trivial.
% 4.83/4.98 (* end of lemma zenon_L396_ *)
% 4.83/4.98 assert (zenon_L397_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/4.98 do 0 intro. intros zenon_H1f5 zenon_H1d zenon_H21 zenon_Hb4 zenon_H94 zenon_H4c zenon_Hd0 zenon_H82 zenon_H89 zenon_H100 zenon_H1f zenon_H1e zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H19d zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H11e zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1bb zenon_H1ab zenon_H1ba zenon_H19a zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H28 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H1b6 zenon_H1c0 zenon_H1c2 zenon_H1b7 zenon_H1c3 zenon_H1c4 zenon_H114 zenon_H113 zenon_H110 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H7c zenon_H4b zenon_H46 zenon_H41 zenon_H54 zenon_H117 zenon_H86 zenon_H8f zenon_H7b zenon_H6c zenon_H70 zenon_H76 zenon_H75 zenon_He2 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H37 zenon_H33 zenon_H11f zenon_H12e zenon_H137 zenon_H132 zenon_H19c zenon_H1ff zenon_H202 zenon_H1fb zenon_H205 zenon_Hc3 zenon_H1b8.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H95 | zenon_intro zenon_H179 ].
% 4.83/4.98 apply (zenon_L355_); trivial.
% 4.83/4.98 apply (zenon_L396_); trivial.
% 4.83/4.98 apply (zenon_L392_); trivial.
% 4.83/4.98 (* end of lemma zenon_L397_ *)
% 4.83/4.98 assert (zenon_L398_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> False).
% 4.83/4.98 do 0 intro. intros zenon_H205 zenon_H1fb zenon_H202 zenon_H1ff zenon_H1d zenon_H1f zenon_H1e zenon_H1bc zenon_H19c zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H18f zenon_H19b zenon_H28 zenon_H33 zenon_H37 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4b zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H110 zenon_H113 zenon_H114 zenon_H11d zenon_H1b8 zenon_H1b7 zenon_H1bb zenon_H1b6 zenon_H1ba zenon_H1ab zenon_H1f5 zenon_H1c3 zenon_H1c2 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H11e zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H19d zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H20 | zenon_intro zenon_H4c ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_L1_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H21 | zenon_intro zenon_H38 ].
% 4.83/4.98 apply (zenon_L1_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H21 | zenon_intro zenon_H4d ].
% 4.83/4.98 apply (zenon_L1_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ].
% 4.83/4.98 apply (zenon_L1_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_L349_); trivial.
% 4.83/4.98 apply (zenon_L220_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_L189_); trivial.
% 4.83/4.98 apply (zenon_L221_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H20 | zenon_intro zenon_H76 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_L1_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H21 | zenon_intro zenon_H38 ].
% 4.83/4.98 apply (zenon_L1_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H21 | zenon_intro zenon_H4d ].
% 4.83/4.98 apply (zenon_L1_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ].
% 4.83/4.98 apply (zenon_L1_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_L348_); trivial.
% 4.83/4.98 apply (zenon_L220_); trivial.
% 4.83/4.98 apply (zenon_L210_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.83/4.98 apply (zenon_L355_); trivial.
% 4.83/4.98 apply (zenon_L397_); trivial.
% 4.83/4.98 apply (zenon_L393_); trivial.
% 4.83/4.98 apply (zenon_L207_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_L397_); trivial.
% 4.83/4.98 apply (zenon_L206_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_L396_); trivial.
% 4.83/4.98 apply (zenon_L206_); trivial.
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/4.98 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H135 | zenon_intro zenon_H104 ].
% 4.83/4.98 apply (zenon_L395_); trivial.
% 4.83/4.98 apply (zenon_L390_); trivial.
% 4.83/4.99 apply (zenon_L135_); trivial.
% 4.83/4.99 apply (zenon_L394_); trivial.
% 4.83/4.99 (* end of lemma zenon_L398_ *)
% 4.83/4.99 assert (zenon_L399_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/4.99 do 0 intro. intros zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H1c4 zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1c2 zenon_H1c3 zenon_H1f5 zenon_H1ba zenon_H1bb zenon_H11d zenon_H110 zenon_He6 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_H101 zenon_H46 zenon_H89 zenon_H8f zenon_H6c zenon_H194 zenon_H186 zenon_H198 zenon_H1bc zenon_H1ff zenon_H202 zenon_H1fb zenon_H205 zenon_H11e zenon_H1b7 zenon_H19b zenon_H137 zenon_H13c zenon_H41 zenon_Hb9 zenon_H118 zenon_H18f zenon_H11f zenon_H1ab zenon_H165 zenon_H132 zenon_H166 zenon_H9d zenon_He9 zenon_H19a zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_Hbe zenon_H170 zenon_H152 zenon_H7b zenon_H94 zenon_Ha9 zenon_Haf zenon_H12e zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H113 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H1b6 zenon_H1b8 zenon_H1e zenon_H1f zenon_H20 zenon_H114 zenon_Hb3 zenon_H28 zenon_Hac zenon_Hd0 zenon_H75 zenon_H2c zenon_Hf9 zenon_H86 zenon_H70 zenon_Hd7 zenon_Hda zenon_Hdc zenon_H145 zenon_He2 zenon_H96 zenon_H35 zenon_Hb4 zenon_H33 zenon_H38 zenon_H19d zenon_H36 zenon_Hc3 zenon_H103 zenon_H54 zenon_Hfd zenon_H4b zenon_H4d zenon_H179 zenon_H102 zenon_Ha4 zenon_Ha0 zenon_H1a7 zenon_H104 zenon_H82 zenon_H100 zenon_H1d zenon_H19c.
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H4c | zenon_intro zenon_H37 ].
% 4.83/4.99 apply (zenon_L203_); trivial.
% 4.83/4.99 apply (zenon_L398_); trivial.
% 4.83/4.99 (* end of lemma zenon_L399_ *)
% 4.83/4.99 assert (zenon_L400_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 4.83/4.99 do 0 intro. intros zenon_H19c zenon_H1d zenon_H118 zenon_H18f zenon_H13c zenon_Hb9 zenon_H41 zenon_H28 zenon_H2c zenon_H137 zenon_H9d zenon_H33 zenon_H38 zenon_H19d zenon_H36 zenon_Hc3 zenon_H103 zenon_H54 zenon_Hfd zenon_H4b zenon_H4d zenon_H179 zenon_H102 zenon_Ha4 zenon_Ha0 zenon_H1a7 zenon_H104 zenon_H82 zenon_H100 zenon_He9 zenon_H165 zenon_H132 zenon_H166 zenon_H195 zenon_Ha9 zenon_H7b zenon_H1ab zenon_Hb3 zenon_Hac zenon_Hd0 zenon_H75 zenon_Hf9 zenon_H86 zenon_H70 zenon_Hd7 zenon_Hda zenon_Hdc zenon_H145 zenon_He2 zenon_H35 zenon_H114 zenon_H20 zenon_H1f zenon_H1e zenon_H11e zenon_H1b7 zenon_H19b zenon_H11f zenon_H19a zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_Hbe zenon_H170 zenon_H152 zenon_H94 zenon_Haf zenon_H12e zenon_Hdf zenon_H13e zenon_H117 zenon_H142 zenon_H113 zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H122 zenon_H1b6 zenon_H1b8 zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1b9 zenon_H1e8 zenon_H1e7 zenon_H1bd zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H1c4 zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1c2 zenon_H1c3 zenon_H1f5 zenon_H1ba zenon_H1bb zenon_H11d zenon_H110 zenon_He6 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_H101 zenon_H46 zenon_H89 zenon_H8f zenon_H6c zenon_H194 zenon_H186 zenon_H198 zenon_H1bc zenon_H1ff zenon_H202 zenon_H1fb zenon_H205.
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.83/4.99 apply (zenon_L199_); trivial.
% 4.83/4.99 apply (zenon_L399_); trivial.
% 4.83/4.99 apply (zenon_L343_); trivial.
% 4.83/4.99 (* end of lemma zenon_L400_ *)
% 4.83/4.99 assert (zenon_L401_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/4.99 do 0 intro. intros zenon_H205 zenon_H1fb zenon_H202 zenon_H1ff zenon_H1c3 zenon_H1c2 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1e7 zenon_H1e8 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1bb zenon_H1ba zenon_H1bc zenon_H1bd zenon_H19c zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H11e zenon_H1d zenon_H33 zenon_H38 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H19a zenon_H19d zenon_Hc3 zenon_H179 zenon_H1a7 zenon_H1ab zenon_H1b7 zenon_H1b6 zenon_H1b8 zenon_H1b9 zenon_H1f5.
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.83/4.99 apply (zenon_L200_); trivial.
% 4.83/4.99 apply (zenon_L213_); trivial.
% 4.83/4.99 apply (zenon_L195_); trivial.
% 4.83/4.99 apply (zenon_L400_); trivial.
% 4.83/4.99 (* end of lemma zenon_L401_ *)
% 4.83/4.99 assert (zenon_L402_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/4.99 do 0 intro. intros zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1e8 zenon_H1e7 zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H1c4 zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1c2 zenon_H1c3 zenon_H1ff zenon_H202 zenon_H1fb zenon_H205 zenon_H1bc zenon_H1bb zenon_H1bd zenon_H19c zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H11e zenon_H1d zenon_H33 zenon_H38 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H19a zenon_H1b9 zenon_H1b8 zenon_H1b6 zenon_H1b7 zenon_H1ab zenon_H1a7 zenon_Hc3 zenon_H19d zenon_H1ba zenon_H1f5.
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H95 | zenon_intro zenon_H179 ].
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.83/4.99 apply (zenon_L201_); trivial.
% 4.83/4.99 apply (zenon_L216_); trivial.
% 4.83/4.99 apply (zenon_L217_); trivial.
% 4.83/4.99 apply (zenon_L401_); trivial.
% 4.83/4.99 (* end of lemma zenon_L402_ *)
% 4.83/4.99 assert (zenon_L403_ : ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> False).
% 4.83/4.99 do 0 intro. intros zenon_H19c zenon_H1d zenon_H100 zenon_H82 zenon_H104 zenon_H1a7 zenon_Ha0 zenon_Ha4 zenon_H102 zenon_H179 zenon_H4d zenon_H4b zenon_Hfd zenon_H54 zenon_H103 zenon_Hc3 zenon_H36 zenon_H19d zenon_H38 zenon_H33 zenon_Hb4 zenon_H35 zenon_He2 zenon_H145 zenon_Hdc zenon_Hda zenon_Hd7 zenon_H70 zenon_H86 zenon_Hf9 zenon_H2c zenon_H75 zenon_Hd0 zenon_Hac zenon_H28 zenon_Hb3 zenon_H114 zenon_H20 zenon_H1f zenon_H1e zenon_H1b8 zenon_H1b6 zenon_H122 zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H113 zenon_H142 zenon_H117 zenon_H13e zenon_Hdf zenon_H12e zenon_Haf zenon_Ha9 zenon_H94 zenon_H7b zenon_H152 zenon_H170 zenon_Hbe zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H19a zenon_He9 zenon_H9d zenon_H166 zenon_H132 zenon_H165 zenon_H1ab zenon_H11f zenon_H18f zenon_H118 zenon_Hb9 zenon_H41 zenon_H13c zenon_H137 zenon_H19b zenon_H1b7 zenon_H11e zenon_H205 zenon_H1fb zenon_H202 zenon_H1ff zenon_H1bc zenon_H198 zenon_H186 zenon_H194 zenon_H6c zenon_H8f zenon_H89 zenon_H46 zenon_H101 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_He6 zenon_H110 zenon_H11d zenon_H1bb zenon_H1ba zenon_H1f5 zenon_H1c3 zenon_H1c2 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1bd zenon_H1e7 zenon_H1e8 zenon_H1b9 zenon_H1f1 zenon_H1f3 zenon_H1f4.
% 4.83/4.99 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/4.99 apply (zenon_L399_); trivial.
% 4.83/4.99 apply (zenon_L218_); trivial.
% 4.83/4.99 (* end of lemma zenon_L403_ *)
% 4.83/4.99 assert (zenon_L404_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/5.00 do 0 intro. intros zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1e8 zenon_H1e7 zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H1c4 zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1c2 zenon_H1c3 zenon_H1ba zenon_H1ff zenon_H202 zenon_H1fb zenon_H205 zenon_H1bd zenon_H1bb zenon_H1bc zenon_H19c zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H38 zenon_H33 zenon_H1d zenon_H11e zenon_H1a7 zenon_H179 zenon_Hc3 zenon_H19d zenon_H1b8 zenon_H1b6 zenon_H1ab zenon_H1b7 zenon_H1b9 zenon_H1f5.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H95 | zenon_intro zenon_H145 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H4c | zenon_intro zenon_H37 ].
% 4.83/5.00 apply (zenon_L204_); trivial.
% 4.83/5.00 apply (zenon_L212_); trivial.
% 4.83/5.00 apply (zenon_L195_); trivial.
% 4.83/5.00 apply (zenon_L403_); trivial.
% 4.83/5.00 (* end of lemma zenon_L404_ *)
% 4.83/5.00 assert (zenon_L405_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> False).
% 4.83/5.00 do 0 intro. intros zenon_H205 zenon_H1fb zenon_H202 zenon_H1ff zenon_H1c3 zenon_H1c2 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1e7 zenon_H1e8 zenon_H1f1 zenon_H1f3 zenon_H1f4 zenon_H1bd zenon_H1bb zenon_H1bc zenon_H19c zenon_H19a zenon_H122 zenon_H11f zenon_H177 zenon_H171 zenon_H154 zenon_H153 zenon_H13c zenon_H142 zenon_H13e zenon_H12e zenon_H137 zenon_H132 zenon_H152 zenon_H170 zenon_H165 zenon_H166 zenon_H16b zenon_H16f zenon_H172 zenon_H173 zenon_H174 zenon_H176 zenon_H175 zenon_H198 zenon_H186 zenon_H194 zenon_H195 zenon_H18f zenon_H20 zenon_H19b zenon_H28 zenon_H2c zenon_H11d zenon_H1e zenon_H1f zenon_H114 zenon_H113 zenon_H110 zenon_H104 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H7c zenon_H4b zenon_H4d zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_Hb4 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H36 zenon_H38 zenon_H33 zenon_H1d zenon_H11e zenon_H1b9 zenon_H1b7 zenon_H1ab zenon_H1b6 zenon_H1b8 zenon_H19d zenon_Hc3 zenon_H1a7 zenon_H1ba zenon_H1f5.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H95 | zenon_intro zenon_H179 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_L216_); trivial.
% 4.83/5.00 apply (zenon_L217_); trivial.
% 4.83/5.00 apply (zenon_L404_); trivial.
% 4.83/5.00 (* end of lemma zenon_L405_ *)
% 4.83/5.00 assert (zenon_L406_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> False).
% 4.83/5.00 do 0 intro. intros zenon_H1f5 zenon_H1bb zenon_H1b9 zenon_H1b7 zenon_H1ab zenon_H1b6 zenon_H1b8 zenon_H19d zenon_H1a7 zenon_H1ba zenon_H11e zenon_H1d zenon_H33 zenon_H38 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H2c zenon_H28 zenon_H19b zenon_H20 zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19a zenon_H19c zenon_H1bc zenon_H1bd zenon_H205 zenon_H1fb zenon_H202 zenon_H1ff zenon_H1c3 zenon_H1c2 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1e7 zenon_H1e8 zenon_H1f1 zenon_H1f3 zenon_H1f4.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H195 | zenon_intro zenon_H37 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_L213_); trivial.
% 4.83/5.00 apply (zenon_L215_); trivial.
% 4.83/5.00 apply (zenon_L405_); trivial.
% 4.83/5.00 apply (zenon_L349_); trivial.
% 4.83/5.00 (* end of lemma zenon_L406_ *)
% 4.83/5.00 assert (zenon_L407_ : ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> False).
% 4.83/5.00 do 0 intro. intros zenon_H1f5 zenon_H1b9 zenon_H1b7 zenon_H1ab zenon_H1b6 zenon_H1b8 zenon_H19d zenon_Hc3 zenon_H179 zenon_H1a7 zenon_H11e zenon_H1d zenon_H33 zenon_H38 zenon_H36 zenon_H35 zenon_H118 zenon_Hb9 zenon_Hac zenon_Ha0 zenon_Ha4 zenon_Ha9 zenon_H9d zenon_Haf zenon_Hb3 zenon_Hb4 zenon_He2 zenon_H75 zenon_H70 zenon_H6c zenon_H7b zenon_H82 zenon_H8f zenon_H89 zenon_H86 zenon_H117 zenon_H54 zenon_H94 zenon_H41 zenon_H46 zenon_H4d zenon_H4b zenon_H7c zenon_H100 zenon_Hfd zenon_H103 zenon_H101 zenon_Hf9 zenon_Hf3 zenon_Hef zenon_Hf6 zenon_H102 zenon_Hbe zenon_Hd0 zenon_Hdf zenon_Hd7 zenon_Hda zenon_Hdc zenon_He6 zenon_He9 zenon_H104 zenon_H110 zenon_H113 zenon_H114 zenon_H1f zenon_H1e zenon_H11d zenon_H2c zenon_H28 zenon_H19b zenon_H20 zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19a zenon_H19c zenon_H1bc zenon_H1bb zenon_H1bd zenon_H205 zenon_H1fb zenon_H202 zenon_H1ff zenon_H1ba zenon_H1c3 zenon_H1c2 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1c1 zenon_H1f2 zenon_H1ef zenon_H1f0 zenon_H1ee zenon_H1ec zenon_H1e9 zenon_H1ed zenon_H1ca zenon_H1c7 zenon_H1cb zenon_H1cc zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1e1 zenon_H1e2 zenon_H1e7 zenon_H1e8 zenon_H1f1 zenon_H1f3 zenon_H1f4.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H195 | zenon_intro zenon_H37 ].
% 4.83/5.00 apply (zenon_L404_); trivial.
% 4.83/5.00 apply (zenon_L349_); trivial.
% 4.83/5.00 (* end of lemma zenon_L407_ *)
% 4.83/5.00 assert (zenon_L408_ : ((~((op (e0) (e1)) = (e0)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/(~((op (e1) (e1)) = (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e0)) = (e3)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e2)) = (e3)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e3) (e3)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e1) (e1)) = (e0)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e2) (e2)) = (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e3) (e3)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e0) (e0)) = (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e2) (e1)) = (e2)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e2) (e2)) = (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e0) (e0)) = (e3)))) -> ((~((op (e3) (e1)) = (e3)))\/(~((op (e0) (e0)) = (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e1) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e1) (e1)) = (e1)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e3) (e3)) = (e1)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e1) (e1)) = (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e2) (e2)) = (e2)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e3) (e3)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e0)) = (e2)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e2) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e2) (e3)) = (e2)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e1) (e3)) = (e1)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e1)) = (e0)))\/(~((op (e2) (e2)) = (e1)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e1) (e1)) = (e3)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e2)) = (e1)))\/(~((op (e0) (e0)) = (e2)))) -> ((~((op (e1) (e0)) = (e1)))\/(~((op (e2) (e2)) = (e0)))) -> ((~((op (e0) (e3)) = (e0)))\/(~((op (e2) (e2)) = (e3)))) -> ((~((op (e0) (e2)) = (e0)))\/(~((op (e0) (e0)) = (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 4.83/5.00 do 0 intro. intros zenon_H208 zenon_H1f5 zenon_H1bb zenon_H1b9 zenon_H1b8 zenon_H1b6 zenon_H1b7 zenon_H1ab zenon_H1a7 zenon_H19d zenon_H1ba zenon_H19a zenon_H11d zenon_H114 zenon_H113 zenon_H110 zenon_He9 zenon_He6 zenon_Hdc zenon_Hda zenon_Hd7 zenon_Hdf zenon_Hd0 zenon_Hbe zenon_H102 zenon_Hf6 zenon_Hef zenon_Hf3 zenon_Hf9 zenon_H101 zenon_H103 zenon_Hfd zenon_H100 zenon_H4b zenon_H46 zenon_H41 zenon_H94 zenon_H54 zenon_H117 zenon_H86 zenon_H89 zenon_H8f zenon_H82 zenon_H7b zenon_H6c zenon_H70 zenon_H75 zenon_He2 zenon_Hb3 zenon_Haf zenon_H9d zenon_Ha9 zenon_Ha4 zenon_Ha0 zenon_Hac zenon_Hb9 zenon_H118 zenon_H35 zenon_H33 zenon_H11e zenon_H28 zenon_H19b zenon_H18f zenon_H194 zenon_H186 zenon_H198 zenon_H175 zenon_H176 zenon_H174 zenon_H173 zenon_H172 zenon_H16f zenon_H16b zenon_H166 zenon_H165 zenon_H170 zenon_H152 zenon_H132 zenon_H137 zenon_H12e zenon_H13e zenon_H142 zenon_H13c zenon_H153 zenon_H154 zenon_H171 zenon_H177 zenon_H11f zenon_H122 zenon_H19c zenon_H1bd zenon_H1bc zenon_H1f4 zenon_H1f3 zenon_H1f1 zenon_H1e8 zenon_H1e7 zenon_H1e2 zenon_H1e1 zenon_H1de zenon_H1c5 zenon_H1c4 zenon_H1cc zenon_H1cb zenon_H1c7 zenon_H1ca zenon_H1ed zenon_H1e9 zenon_H1ec zenon_H1ee zenon_H1f0 zenon_H1ef zenon_H1f2 zenon_H1c1 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1c2 zenon_H1c3 zenon_H1ff zenon_H202 zenon_H1fb zenon_H205 zenon_H1e zenon_H1d.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H20 | zenon_intro zenon_Hb4 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.83/5.00 apply (zenon_L1_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H21 | zenon_intro zenon_H38 ].
% 4.83/5.00 apply (zenon_L1_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H21 | zenon_intro zenon_H4d ].
% 4.83/5.00 apply (zenon_L1_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ].
% 4.83/5.00 apply (zenon_L1_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc3 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H96 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H29 | zenon_intro zenon_Hc3 ].
% 4.83/5.00 apply (zenon_L162_); trivial.
% 4.83/5.00 apply (zenon_L201_); trivial.
% 4.83/5.00 apply (zenon_L213_); trivial.
% 4.83/5.00 apply (zenon_L215_); trivial.
% 4.83/5.00 apply (zenon_L402_); trivial.
% 4.83/5.00 apply (zenon_L406_); trivial.
% 4.83/5.00 apply (zenon_L220_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.83/5.00 apply (zenon_L402_); trivial.
% 4.83/5.00 apply (zenon_L406_); trivial.
% 4.83/5.00 apply (zenon_L220_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.83/5.00 apply (zenon_L401_); trivial.
% 4.83/5.00 apply (zenon_L407_); trivial.
% 4.83/5.00 apply (zenon_L223_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H195 | zenon_intro zenon_Hb4 ].
% 4.83/5.00 apply (zenon_L400_); trivial.
% 4.83/5.00 apply (zenon_L403_); trivial.
% 4.83/5.00 apply (zenon_L196_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H20 | zenon_intro zenon_H37 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H21 | zenon_intro zenon_H104 ].
% 4.83/5.00 apply (zenon_L1_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H21 | zenon_intro zenon_H38 ].
% 4.83/5.00 apply (zenon_L1_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H21 | zenon_intro zenon_H4d ].
% 4.83/5.00 apply (zenon_L1_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ].
% 4.83/5.00 apply (zenon_L1_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H7c | zenon_intro zenon_Hc3 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_L406_); trivial.
% 4.83/5.00 apply (zenon_L220_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7c | zenon_intro zenon_H179 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H195 | zenon_intro zenon_H37 ].
% 4.83/5.00 apply (zenon_L405_); trivial.
% 4.83/5.00 apply (zenon_L349_); trivial.
% 4.83/5.00 apply (zenon_L220_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H7c | zenon_intro zenon_H145 ].
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_L407_); trivial.
% 4.83/5.00 apply (zenon_L222_); trivial.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H36 | zenon_intro zenon_H5b ].
% 4.83/5.00 apply (zenon_L403_); trivial.
% 4.83/5.00 apply (zenon_L196_); trivial.
% 4.83/5.00 apply (zenon_L398_); trivial.
% 4.83/5.00 apply (zenon_L344_); trivial.
% 4.83/5.00 (* end of lemma zenon_L408_ *)
% 4.83/5.00 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H11f. zenon_intro zenon_H209.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1ff. zenon_intro zenon_H20a.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H8f. zenon_intro zenon_H20d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H20f. zenon_intro zenon_H20e.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H33. zenon_intro zenon_H210.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H212. zenon_intro zenon_H211.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_Hdc. zenon_intro zenon_H213.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hf3. zenon_intro zenon_H214.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H4b. zenon_intro zenon_H217.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H218.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H1e9. zenon_intro zenon_H21a.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H110. zenon_intro zenon_H21b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21c. zenon_intro zenon_H75.
% 4.83/5.00 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H1d. zenon_intro zenon_H21d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H114. zenon_intro zenon_H21e.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H118. zenon_intro zenon_H21f.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H137. zenon_intro zenon_H220.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H100. zenon_intro zenon_H221.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hb3. zenon_intro zenon_H222.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H103. zenon_intro zenon_H223.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H186. zenon_intro zenon_H224.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_He9. zenon_intro zenon_H225.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1a7. zenon_intro zenon_H226.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H7b. zenon_intro zenon_H227.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H101. zenon_intro zenon_H228.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H165. zenon_intro zenon_H229.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_Hac. zenon_intro zenon_H22a.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H166. zenon_intro zenon_H22b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H202. zenon_intro zenon_H22c.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H1c7. zenon_intro zenon_H22d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H102. zenon_intro zenon_H22e.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H16b. zenon_intro zenon_H22f.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H22f). zenon_intro zenon_H194. zenon_intro zenon_H230.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H94. zenon_intro zenon_H231.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_Ha9. zenon_intro zenon_H232.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_He2. zenon_intro zenon_H233.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H18f. zenon_intro zenon_H234.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H1de. zenon_intro zenon_H235.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H117. zenon_intro zenon_H236.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1e2. zenon_intro zenon_H237.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hdf. zenon_intro zenon_H238.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H23a. zenon_intro zenon_H239.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H12e. zenon_intro zenon_H23b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H28. zenon_intro zenon_H23c.
% 4.83/5.00 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H23e. zenon_intro zenon_H23d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H240. zenon_intro zenon_H23f.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H242. zenon_intro zenon_H241.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1ab. zenon_intro zenon_H243.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_Hbe. zenon_intro zenon_H244.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H205. zenon_intro zenon_H245.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H19d. zenon_intro zenon_H246.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_Hd0. zenon_intro zenon_H247.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H198. zenon_intro zenon_H248.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H24a. zenon_intro zenon_H249.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H24c. zenon_intro zenon_H24b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H24e. zenon_intro zenon_H24d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H132. zenon_intro zenon_H24f.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H251. zenon_intro zenon_H250.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1e1. zenon_intro zenon_H252.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H46. zenon_intro zenon_H253.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H255. zenon_intro zenon_H254.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H257. zenon_intro zenon_H256.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H86. zenon_intro zenon_H258.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H89. zenon_intro zenon_H259.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H6c. zenon_intro zenon_H25a.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Hda. zenon_intro zenon_H25b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H70. zenon_intro zenon_H25c.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H142. zenon_intro zenon_H25d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H25f. zenon_intro zenon_H25e.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H261. zenon_intro zenon_H260.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H263. zenon_intro zenon_H262.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H265. zenon_intro zenon_H264.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_H1fb. zenon_intro zenon_H266.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H268. zenon_intro zenon_H267.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H35. zenon_intro zenon_H269.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_Ha0. zenon_intro zenon_H26a.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_Hd7. zenon_intro zenon_H26b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_He6. zenon_intro zenon_H26c.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H26e. zenon_intro zenon_H26d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H270. zenon_intro zenon_H26f.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_Hef. zenon_intro zenon_H271.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H41. zenon_intro zenon_H272.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H13e. zenon_intro zenon_H273.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H273). zenon_intro zenon_H275. zenon_intro zenon_H274.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H277. zenon_intro zenon_H276.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H279. zenon_intro zenon_H278.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Haf. zenon_intro zenon_H27a.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_Hf6. zenon_intro zenon_H27b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H113. zenon_intro zenon_H27c.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_Ha4. zenon_intro zenon_H27d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_Hf9. zenon_intro zenon_H27e.
% 4.83/5.00 apply (zenon_and_s _ _ ax4). zenon_intro zenon_Hb9. zenon_intro zenon_H27f.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H82. zenon_intro zenon_H280.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H54. zenon_intro zenon_H281.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H9d. zenon_intro zenon_H282.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H13c. zenon_intro zenon_Hfd.
% 4.83/5.00 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H284. zenon_intro zenon_H283.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H28a. zenon_intro zenon_H289.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H208. zenon_intro zenon_H28b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f4. zenon_intro zenon_H28c.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1f2. zenon_intro zenon_H28d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f3. zenon_intro zenon_H28e.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1c3. zenon_intro zenon_H28f.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H175. zenon_intro zenon_H290.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H177. zenon_intro zenon_H291.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H176. zenon_intro zenon_H292.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H122. zenon_intro zenon_H293.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H1c1. zenon_intro zenon_H294.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H1c2. zenon_intro zenon_H295.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H1be. zenon_intro zenon_H296.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H174. zenon_intro zenon_H299.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H1c0. zenon_intro zenon_H29a.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H173. zenon_intro zenon_H29b.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H1b8. zenon_intro zenon_H29c.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H1b7. zenon_intro zenon_H29d.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H29f. zenon_intro zenon_H29e.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H2a1. zenon_intro zenon_H2a0.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H1bf. zenon_intro zenon_H2a2.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1e7. zenon_intro zenon_H2a3.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H1cc. zenon_intro zenon_H2a4.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H1cb. zenon_intro zenon_H2a5.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H171. zenon_intro zenon_H2a6.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1f0. zenon_intro zenon_H2a7.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H1ef. zenon_intro zenon_H2a8.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H1f1. zenon_intro zenon_H2a9.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ab. zenon_intro zenon_H2aa.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H172. zenon_intro zenon_H2ac.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H1ca. zenon_intro zenon_H2ad.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H170. zenon_intro zenon_H2ae.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H1f5. zenon_intro zenon_H2af.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H16f. zenon_intro zenon_H2b2.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H154. zenon_intro zenon_H2b3.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1b6. zenon_intro zenon_H2b4.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1bd. zenon_intro zenon_H2b5.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1bc. zenon_intro zenon_H2b6.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2b8. zenon_intro zenon_H2b7.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H152. zenon_intro zenon_H2b9.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1ee. zenon_intro zenon_H2ba.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1ed. zenon_intro zenon_H2bb.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H1ec. zenon_intro zenon_H2bc.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H1bb. zenon_intro zenon_H2bf.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H1ba. zenon_intro zenon_H2c0.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H1b9. zenon_intro zenon_H2c1.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H19c. zenon_intro zenon_H2c2.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H19b. zenon_intro zenon_H2c5.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H19a. zenon_intro zenon_H2c8.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H11e. zenon_intro zenon_H2c9.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H2cb. zenon_intro zenon_H2ca.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H11d. zenon_intro zenon_H2cc.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H153. zenon_intro zenon_H2cd.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H1e8. zenon_intro zenon_H2ce.
% 4.83/5.00 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H1c5. zenon_intro zenon_H1c4.
% 4.83/5.00 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H1e | zenon_intro zenon_H1e ].
% 4.83/5.00 apply (zenon_L408_); trivial.
% 4.83/5.00 apply (zenon_L408_); trivial.
% 4.83/5.00 Qed.
% 4.83/5.00 % SZS output end Proof
% 4.83/5.00 (* END-PROOF *)
% 4.83/5.00 nodes searched: 183408
% 4.83/5.00 max branch formulas: 386
% 4.83/5.00 proof nodes created: 5453
% 4.83/5.00 formulas created: 38901
% 4.83/5.00
%------------------------------------------------------------------------------