TSTP Solution File: ALG143+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG143+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.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 18:30:20 EDT 2022
% Result : Unsatisfiable 8.45s 8.70s
% Output : Proof 8.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG143+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.10 % Command : run_zenon %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 7 22:25:51 EDT 2022
% 0.10/0.29 % CPUTime :
% 8.45/8.70 (* PROOF-FOUND *)
% 8.45/8.70 % SZS status Unsatisfiable
% 8.45/8.70 (* BEGIN-PROOF *)
% 8.45/8.70 % SZS output start Proof
% 8.45/8.70 Theorem zenon_thm : False.
% 8.45/8.70 Proof.
% 8.45/8.70 assert (zenon_L1_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1f.
% 8.45/8.70 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H20 | zenon_intro zenon_H21 ].
% 8.45/8.70 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H1f.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H20.
% 8.45/8.70 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 8.45/8.70 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e0)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H22.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H1d.
% 8.45/8.70 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 8.45/8.70 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H21. apply refl_equal.
% 8.45/8.70 apply zenon_H23. apply sym_equal. exact zenon_H1e.
% 8.45/8.70 apply zenon_H21. apply refl_equal.
% 8.45/8.70 apply zenon_H21. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L1_ *)
% 8.45/8.70 assert (zenon_L2_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H24 zenon_H1e zenon_H25.
% 8.45/8.70 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H25.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H26.
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e0)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H28.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H24.
% 8.45/8.70 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H27. apply refl_equal.
% 8.45/8.70 apply zenon_H23. apply sym_equal. exact zenon_H1e.
% 8.45/8.70 apply zenon_H27. apply refl_equal.
% 8.45/8.70 apply zenon_H27. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L2_ *)
% 8.45/8.70 assert (zenon_L3_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H29 zenon_H2a zenon_H2b.
% 8.45/8.70 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ].
% 8.45/8.70 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H2b.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H2c.
% 8.45/8.70 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.70 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e1)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H2e.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H29.
% 8.45/8.70 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 8.45/8.70 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H2d. apply refl_equal.
% 8.45/8.70 apply zenon_H2f. apply sym_equal. exact zenon_H2a.
% 8.45/8.70 apply zenon_H2d. apply refl_equal.
% 8.45/8.70 apply zenon_H2d. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L3_ *)
% 8.45/8.70 assert (zenon_L4_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H30 zenon_H1e zenon_H31.
% 8.45/8.70 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H32 | zenon_intro zenon_H33 ].
% 8.45/8.70 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e0)) = (op (e0) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H31.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H32.
% 8.45/8.70 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.70 cut (((op (e0) (e3)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e0)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H34.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H30.
% 8.45/8.70 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 8.45/8.70 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H33. apply refl_equal.
% 8.45/8.70 apply zenon_H23. apply sym_equal. exact zenon_H1e.
% 8.45/8.70 apply zenon_H33. apply refl_equal.
% 8.45/8.70 apply zenon_H33. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L4_ *)
% 8.45/8.70 assert (zenon_L5_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H35 zenon_H2a zenon_H36.
% 8.45/8.70 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 8.45/8.70 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H36.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H37.
% 8.45/8.70 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.45/8.70 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e1)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H39.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H35.
% 8.45/8.70 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 8.45/8.70 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H38. apply refl_equal.
% 8.45/8.70 apply zenon_H2f. apply sym_equal. exact zenon_H2a.
% 8.45/8.70 apply zenon_H38. apply refl_equal.
% 8.45/8.70 apply zenon_H38. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L5_ *)
% 8.45/8.70 assert (zenon_L6_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H3a zenon_H3b zenon_H3c.
% 8.45/8.70 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H3a.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H3b.
% 8.45/8.70 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 8.45/8.70 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H3e. apply refl_equal.
% 8.45/8.70 apply zenon_H3d. apply sym_equal. exact zenon_H3c.
% 8.45/8.70 (* end of lemma zenon_L6_ *)
% 8.45/8.70 assert (zenon_L7_ : (~((e0) = (e0))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H3f.
% 8.45/8.70 apply zenon_H3f. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L7_ *)
% 8.45/8.70 assert (zenon_L8_ : (~((e1) = (e1))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H40.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L8_ *)
% 8.45/8.70 assert (zenon_L9_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e1)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H41 zenon_H2a.
% 8.45/8.70 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H41.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H2a.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 8.45/8.70 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e1)) = (op (e1) (op (e1) (e1))))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H42.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H43.
% 8.45/8.70 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 8.45/8.70 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 exact (zenon_H46 zenon_H2a).
% 8.45/8.70 apply zenon_H44. apply refl_equal.
% 8.45/8.70 apply zenon_H44. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L9_ *)
% 8.45/8.70 assert (zenon_L10_ : ((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))) -> ((op (e1) (e1)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H47 zenon_H2a.
% 8.45/8.70 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.45/8.70 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.45/8.70 apply (zenon_L9_); trivial.
% 8.45/8.70 (* end of lemma zenon_L10_ *)
% 8.45/8.70 assert (zenon_L11_ : (~((e2) = (e2))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H4b.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L11_ *)
% 8.45/8.70 assert (zenon_L12_ : (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H4c zenon_H3b.
% 8.45/8.70 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H4c.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H3b.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((op (e2) (e2)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H4e | zenon_intro zenon_H4f ].
% 8.45/8.70 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e2)) = (op (e2) (op (e2) (e2))))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H4d.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H4e.
% 8.45/8.70 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 8.45/8.70 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 exact (zenon_H51 zenon_H3b).
% 8.45/8.70 apply zenon_H4f. apply refl_equal.
% 8.45/8.70 apply zenon_H4f. apply refl_equal.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L12_ *)
% 8.45/8.70 assert (zenon_L13_ : ((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H52 zenon_H3b.
% 8.45/8.70 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.45/8.70 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.45/8.70 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.45/8.70 apply (zenon_L12_); trivial.
% 8.45/8.70 (* end of lemma zenon_L13_ *)
% 8.45/8.70 assert (zenon_L14_ : (~((e3) = (e3))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H58.
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L14_ *)
% 8.45/8.70 assert (zenon_L15_ : (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H59 zenon_H5a.
% 8.45/8.70 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H59.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H5a.
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 cut (((op (e3) (e3)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ].
% 8.45/8.70 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e3)) = (op (e3) (op (e3) (e3))))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H5b.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H5c.
% 8.45/8.70 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 8.45/8.70 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 exact (zenon_H5f zenon_H5a).
% 8.45/8.70 apply zenon_H5d. apply refl_equal.
% 8.45/8.70 apply zenon_H5d. apply refl_equal.
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L15_ *)
% 8.45/8.70 assert (zenon_L16_ : ((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H60 zenon_H5a.
% 8.45/8.70 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.45/8.70 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.45/8.70 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.45/8.70 apply (zenon_L15_); trivial.
% 8.45/8.70 (* end of lemma zenon_L16_ *)
% 8.45/8.70 assert (zenon_L17_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H1e zenon_H66 zenon_H67.
% 8.45/8.70 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H68 | zenon_intro zenon_H40 ].
% 8.45/8.70 cut (((e1) = (e1)) = ((e0) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H67.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H68.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H69.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H1e.
% 8.45/8.70 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.70 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_H6a zenon_H66).
% 8.45/8.70 apply zenon_H3f. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L17_ *)
% 8.45/8.70 assert (zenon_L18_ : ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H2a zenon_H6b zenon_H6c.
% 8.45/8.70 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H6c.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H6d.
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H6f.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H2a.
% 8.45/8.70 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H6e. apply refl_equal.
% 8.45/8.70 apply zenon_H70. apply sym_equal. exact zenon_H6b.
% 8.45/8.70 apply zenon_H6e. apply refl_equal.
% 8.45/8.70 apply zenon_H6e. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L18_ *)
% 8.45/8.70 assert (zenon_L19_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H71 zenon_H66 zenon_H25.
% 8.45/8.70 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H25.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H26.
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e0) (e0)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H28.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H71.
% 8.45/8.70 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H27. apply refl_equal.
% 8.45/8.70 apply zenon_H72. apply sym_equal. exact zenon_H66.
% 8.45/8.70 apply zenon_H27. apply refl_equal.
% 8.45/8.70 apply zenon_H27. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L19_ *)
% 8.45/8.70 assert (zenon_L20_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H2a zenon_H73 zenon_H74.
% 8.45/8.70 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H74.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H6d.
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H75.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H2a.
% 8.45/8.70 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H6e. apply refl_equal.
% 8.45/8.70 apply zenon_H76. apply sym_equal. exact zenon_H73.
% 8.45/8.70 apply zenon_H6e. apply refl_equal.
% 8.45/8.70 apply zenon_H6e. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L20_ *)
% 8.45/8.70 assert (zenon_L21_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H1e zenon_H77 zenon_H78.
% 8.45/8.70 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.45/8.70 cut (((e2) = (e2)) = ((e0) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H78.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H79.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H7a.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H1e.
% 8.45/8.70 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.70 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_H7b zenon_H77).
% 8.45/8.70 apply zenon_H3f. apply refl_equal.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L21_ *)
% 8.45/8.70 assert (zenon_L22_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H24 zenon_H71 zenon_H67.
% 8.45/8.70 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H68 | zenon_intro zenon_H40 ].
% 8.45/8.70 cut (((e1) = (e1)) = ((e0) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H67.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H68.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H69.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H24.
% 8.45/8.70 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.70 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_H7c zenon_H71).
% 8.45/8.70 apply zenon_H3f. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L22_ *)
% 8.45/8.70 assert (zenon_L23_ : (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H7d zenon_H7e zenon_H71.
% 8.45/8.70 cut (((op (e0) (e2)) = (e2)) = ((e1) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H7d.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H7e.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_H7c zenon_H71).
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L23_ *)
% 8.45/8.70 assert (zenon_L24_ : (~((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H7f zenon_H80.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_H81 zenon_H80).
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L24_ *)
% 8.45/8.70 assert (zenon_L25_ : ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (op (op (e2) (e2)) (e2)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H71 zenon_H80 zenon_H82.
% 8.45/8.70 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e1) = (op (op (e2) (e2)) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H82.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H83.
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e2)) = (e1)) = ((op (op (e2) (e2)) (e2)) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H85.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H71.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H86.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H83.
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 8.45/8.70 congruence.
% 8.45/8.70 apply (zenon_L24_); trivial.
% 8.45/8.70 apply zenon_H84. apply refl_equal.
% 8.45/8.70 apply zenon_H84. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 apply zenon_H84. apply refl_equal.
% 8.45/8.70 apply zenon_H84. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L25_ *)
% 8.45/8.70 assert (zenon_L26_ : ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H87 zenon_H71 zenon_H80.
% 8.45/8.70 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ].
% 8.45/8.70 apply zenon_H89. apply sym_equal. exact zenon_H80.
% 8.45/8.70 apply (zenon_notand_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H82 ].
% 8.45/8.70 elim (classic ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H8b | zenon_intro zenon_H8c ].
% 8.45/8.70 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) = ((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H8a.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H8b.
% 8.45/8.70 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 8.45/8.70 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e0)) = (e3)) = ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (e3))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H8d.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H87.
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 cut (((op (e1) (e0)) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H8b | zenon_intro zenon_H8c ].
% 8.45/8.70 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) = ((op (e1) (e0)) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H8e.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H8b.
% 8.45/8.70 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 8.45/8.70 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e2)) = (e1)) = ((op (op (e2) (e2)) (e2)) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H85.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H71.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H86.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H83.
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.45/8.70 cut (((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 8.45/8.70 congruence.
% 8.45/8.70 apply (zenon_L24_); trivial.
% 8.45/8.70 apply zenon_H84. apply refl_equal.
% 8.45/8.70 apply zenon_H84. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 exact (zenon_H81 zenon_H80).
% 8.45/8.70 apply zenon_H8c. apply refl_equal.
% 8.45/8.70 apply zenon_H8c. apply refl_equal.
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 apply zenon_H8c. apply refl_equal.
% 8.45/8.70 apply zenon_H8c. apply refl_equal.
% 8.45/8.70 apply (zenon_L25_); trivial.
% 8.45/8.70 (* end of lemma zenon_L26_ *)
% 8.45/8.70 assert (zenon_L27_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H90 zenon_H71 zenon_H91.
% 8.45/8.70 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H90.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H71.
% 8.45/8.70 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 8.45/8.70 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H27. apply refl_equal.
% 8.45/8.70 apply zenon_H92. apply sym_equal. exact zenon_H91.
% 8.45/8.70 (* end of lemma zenon_L27_ *)
% 8.45/8.70 assert (zenon_L28_ : ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H3b zenon_H93 zenon_H94.
% 8.45/8.70 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H3e ].
% 8.45/8.70 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H94.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H95.
% 8.45/8.70 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 8.45/8.70 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H96.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H3b.
% 8.45/8.70 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 8.45/8.70 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H3e. apply refl_equal.
% 8.45/8.70 apply zenon_H97. apply sym_equal. exact zenon_H93.
% 8.45/8.70 apply zenon_H3e. apply refl_equal.
% 8.45/8.70 apply zenon_H3e. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L28_ *)
% 8.45/8.70 assert (zenon_L29_ : ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H98 zenon_H99 zenon_H9a.
% 8.45/8.70 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 8.45/8.70 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H9a.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H9b.
% 8.45/8.70 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.45/8.70 cut (((op (e3) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e2) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H9d.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H98.
% 8.45/8.70 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 8.45/8.70 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H9c. apply refl_equal.
% 8.45/8.70 apply zenon_H9e. apply sym_equal. exact zenon_H99.
% 8.45/8.70 apply zenon_H9c. apply refl_equal.
% 8.45/8.70 apply zenon_H9c. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L29_ *)
% 8.45/8.70 assert (zenon_L30_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H9f zenon_H87 zenon_H71 zenon_H90 zenon_H94 zenon_H93 zenon_H98 zenon_H9a.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_Ha0 ].
% 8.45/8.70 apply (zenon_L26_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H91 | zenon_intro zenon_Ha1 ].
% 8.45/8.70 apply (zenon_L27_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H3b | zenon_intro zenon_H99 ].
% 8.45/8.70 apply (zenon_L28_); trivial.
% 8.45/8.70 apply (zenon_L29_); trivial.
% 8.45/8.70 (* end of lemma zenon_L30_ *)
% 8.45/8.70 assert (zenon_L31_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H2a zenon_Ha2 zenon_Ha3.
% 8.45/8.70 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.45/8.70 cut (((e3) = (e3)) = ((e1) = (e3))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Ha3.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Ha4.
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e1)) = (e1)) = ((e3) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Ha5.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H2a.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Ha6 zenon_Ha2).
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L31_ *)
% 8.45/8.70 assert (zenon_L32_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H93 zenon_Ha7 zenon_Ha8.
% 8.45/8.70 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.45/8.70 cut (((e3) = (e3)) = ((e2) = (e3))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Ha8.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Ha4.
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e2)) = (e2)) = ((e3) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Ha9.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H93.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Haa zenon_Ha7).
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L32_ *)
% 8.45/8.70 assert (zenon_L33_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hab zenon_Hac zenon_Had.
% 8.45/8.70 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hab.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hac.
% 8.45/8.70 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 8.45/8.70 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_Haf. apply refl_equal.
% 8.45/8.70 apply zenon_Hae. apply sym_equal. exact zenon_Had.
% 8.45/8.70 (* end of lemma zenon_L33_ *)
% 8.45/8.70 assert (zenon_L34_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H93 zenon_Hb0 zenon_Hab.
% 8.45/8.70 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ].
% 8.45/8.70 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hab.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H2c.
% 8.45/8.70 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.70 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e0)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hb1.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H93.
% 8.45/8.70 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 8.45/8.70 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H2d. apply refl_equal.
% 8.45/8.70 apply zenon_Hb2. apply sym_equal. exact zenon_Hb0.
% 8.45/8.70 apply zenon_H2d. apply refl_equal.
% 8.45/8.70 apply zenon_H2d. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L34_ *)
% 8.45/8.70 assert (zenon_L35_ : ((op (e1) (e3)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hb3 zenon_H87 zenon_Hb4.
% 8.45/8.70 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 8.45/8.70 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hb4.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H37.
% 8.45/8.70 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.45/8.70 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e1) (e0)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hb5.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hb3.
% 8.45/8.70 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 8.45/8.70 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H38. apply refl_equal.
% 8.45/8.70 apply zenon_Hb6. apply sym_equal. exact zenon_H87.
% 8.45/8.70 apply zenon_H38. apply refl_equal.
% 8.45/8.70 apply zenon_H38. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L35_ *)
% 8.45/8.70 assert (zenon_L36_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hb7 zenon_Had zenon_H74 zenon_H2a zenon_Hab zenon_H93 zenon_Hb3 zenon_Hb4.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hac | zenon_intro zenon_Hb8 ].
% 8.45/8.70 apply (zenon_L33_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb9 ].
% 8.45/8.70 apply (zenon_L20_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H87 ].
% 8.45/8.70 apply (zenon_L34_); trivial.
% 8.45/8.70 apply (zenon_L35_); trivial.
% 8.45/8.70 (* end of lemma zenon_L36_ *)
% 8.45/8.70 assert (zenon_L37_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hba zenon_H9a zenon_H98 zenon_H94 zenon_H90 zenon_H71 zenon_H9f zenon_Ha3 zenon_Ha8 zenon_Hb7 zenon_Had zenon_H74 zenon_H2a zenon_Hab zenon_H93 zenon_Hb4.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.45/8.70 apply (zenon_L30_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.45/8.70 apply (zenon_L31_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.45/8.70 apply (zenon_L32_); trivial.
% 8.45/8.70 apply (zenon_L36_); trivial.
% 8.45/8.70 (* end of lemma zenon_L37_ *)
% 8.45/8.70 assert (zenon_L38_ : (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Ha8 zenon_H98 zenon_Hbd.
% 8.45/8.70 cut (((op (e3) (e2)) = (e3)) = ((e2) = (e3))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Ha8.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H98.
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 cut (((op (e3) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Hbe zenon_Hbd).
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L38_ *)
% 8.45/8.70 assert (zenon_L39_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hbf zenon_H7d zenon_Hb4 zenon_Hab zenon_H2a zenon_H74 zenon_Had zenon_Hb7 zenon_Ha3 zenon_H9f zenon_H71 zenon_H90 zenon_H94 zenon_H9a zenon_Hba zenon_H3c zenon_H3a zenon_Ha8 zenon_H98.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.45/8.70 apply (zenon_L23_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.45/8.70 apply (zenon_L37_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.45/8.70 apply (zenon_L6_); trivial.
% 8.45/8.70 apply (zenon_L38_); trivial.
% 8.45/8.70 (* end of lemma zenon_L39_ *)
% 8.45/8.70 assert (zenon_L40_ : (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H78 zenon_H3b zenon_H80.
% 8.45/8.70 cut (((op (e2) (e2)) = (e2)) = ((e0) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H78.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H3b.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_H81 zenon_H80).
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L40_ *)
% 8.45/8.70 assert (zenon_L41_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hbf zenon_H71 zenon_H7d zenon_Hab zenon_Hb0 zenon_H80 zenon_H78 zenon_Ha8 zenon_H98.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.45/8.70 apply (zenon_L23_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.45/8.70 apply (zenon_L34_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.45/8.70 apply (zenon_L40_); trivial.
% 8.45/8.70 apply (zenon_L38_); trivial.
% 8.45/8.70 (* end of lemma zenon_L41_ *)
% 8.45/8.70 assert (zenon_L42_ : (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hc2 zenon_H98 zenon_Hc3.
% 8.45/8.70 cut (((op (e3) (e2)) = (e3)) = ((e0) = (e3))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hc2.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H98.
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Hc4 zenon_Hc3).
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L42_ *)
% 8.45/8.70 assert (zenon_L43_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hc5 zenon_H67 zenon_H3a zenon_H3c zenon_Hba zenon_H9a zenon_H94 zenon_H90 zenon_H9f zenon_Ha3 zenon_Hb7 zenon_H74 zenon_H2a zenon_Hb4 zenon_Ha8 zenon_H78 zenon_Hb0 zenon_Hab zenon_H7d zenon_H71 zenon_Hbf zenon_Hc2 zenon_H98.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.45/8.70 apply (zenon_L22_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.45/8.70 apply (zenon_L39_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.45/8.70 apply (zenon_L41_); trivial.
% 8.45/8.70 apply (zenon_L42_); trivial.
% 8.45/8.70 (* end of lemma zenon_L43_ *)
% 8.45/8.70 assert (zenon_L44_ : (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H7d zenon_Hc8 zenon_Hc9.
% 8.45/8.70 cut (((op (e2) (e0)) = (e2)) = ((e1) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H7d.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hc8.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Hca zenon_Hc9).
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L44_ *)
% 8.45/8.70 assert (zenon_L45_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H6c zenon_Hcb zenon_Hcc.
% 8.45/8.70 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H6c.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hcb.
% 8.45/8.70 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 8.45/8.70 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H21. apply refl_equal.
% 8.45/8.70 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 8.45/8.70 (* end of lemma zenon_L45_ *)
% 8.45/8.70 assert (zenon_L46_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H2a zenon_Hcc zenon_H7d.
% 8.45/8.70 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.45/8.70 cut (((e2) = (e2)) = ((e1) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H7d.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H79.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e1)) = (e1)) = ((e2) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hce.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H2a.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Hcf zenon_Hcc).
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L46_ *)
% 8.45/8.70 assert (zenon_L47_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hd0 zenon_H30 zenon_Hd1.
% 8.45/8.70 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hd0.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H30.
% 8.45/8.70 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 8.45/8.70 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H33. apply refl_equal.
% 8.45/8.70 apply zenon_Hd2. apply sym_equal. exact zenon_Hd1.
% 8.45/8.70 (* end of lemma zenon_L47_ *)
% 8.45/8.70 assert (zenon_L48_ : (~((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))) -> ((op (e3) (e3)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hd3 zenon_Hd4.
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Hd5 zenon_Hd4).
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L48_ *)
% 8.45/8.70 assert (zenon_L49_ : ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (op (op (e3) (e3)) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hd6 zenon_Hd4 zenon_Hd7.
% 8.45/8.70 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e1) = (op (op (e3) (e3)) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hd7.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hd8.
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hda].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e3)) = (e1)) = ((op (op (e3) (e3)) (e3)) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hda.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hd6.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hdb.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hd8.
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 8.45/8.70 congruence.
% 8.45/8.70 apply (zenon_L48_); trivial.
% 8.45/8.70 apply zenon_Hd9. apply refl_equal.
% 8.45/8.70 apply zenon_Hd9. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 apply zenon_Hd9. apply refl_equal.
% 8.45/8.70 apply zenon_Hd9. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L49_ *)
% 8.45/8.70 assert (zenon_L50_ : ((op (e1) (e0)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hb0 zenon_Hd6 zenon_Hd4.
% 8.45/8.70 apply (zenon_notand_s _ _ ax11); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ].
% 8.45/8.70 apply zenon_Hdd. apply sym_equal. exact zenon_Hd4.
% 8.45/8.70 apply (zenon_notand_s _ _ zenon_Hdc); [ zenon_intro zenon_Hde | zenon_intro zenon_Hd7 ].
% 8.45/8.70 elim (classic ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_Hdf | zenon_intro zenon_He0 ].
% 8.45/8.70 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) = ((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hde.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hdf.
% 8.45/8.70 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 8.45/8.70 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e1) (e0)) = (e2)) = ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_He1.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hb0.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((op (e1) (e0)) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_Hdf | zenon_intro zenon_He0 ].
% 8.45/8.70 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) = ((op (e1) (e0)) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_He2.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hdf.
% 8.45/8.70 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 8.45/8.70 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hda].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e0) (e3)) = (e1)) = ((op (op (e3) (e3)) (e3)) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hda.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hd6.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 8.45/8.70 congruence.
% 8.45/8.70 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hdb.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hd8.
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.45/8.70 cut (((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 8.45/8.70 congruence.
% 8.45/8.70 apply (zenon_L48_); trivial.
% 8.45/8.70 apply zenon_Hd9. apply refl_equal.
% 8.45/8.70 apply zenon_Hd9. apply refl_equal.
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 exact (zenon_Hd5 zenon_Hd4).
% 8.45/8.70 apply zenon_He0. apply refl_equal.
% 8.45/8.70 apply zenon_He0. apply refl_equal.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 apply zenon_He0. apply refl_equal.
% 8.45/8.70 apply zenon_He0. apply refl_equal.
% 8.45/8.70 apply (zenon_L49_); trivial.
% 8.45/8.70 (* end of lemma zenon_L50_ *)
% 8.45/8.70 assert (zenon_L51_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_He4 zenon_Hd6 zenon_He5.
% 8.45/8.70 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_He4.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hd6.
% 8.45/8.70 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 8.45/8.70 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H33. apply refl_equal.
% 8.45/8.70 apply zenon_He6. apply sym_equal. exact zenon_He5.
% 8.45/8.70 (* end of lemma zenon_L51_ *)
% 8.45/8.70 assert (zenon_L52_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_He7 zenon_H3c zenon_He8.
% 8.45/8.70 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_He7.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H3c.
% 8.45/8.70 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_Hea. apply refl_equal.
% 8.45/8.70 apply zenon_He9. apply sym_equal. exact zenon_He8.
% 8.45/8.70 (* end of lemma zenon_L52_ *)
% 8.45/8.70 assert (zenon_L53_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Heb zenon_H98 zenon_H5a.
% 8.45/8.70 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Heb.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H98.
% 8.45/8.70 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 8.45/8.70 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H9c. apply refl_equal.
% 8.45/8.70 apply zenon_Hec. apply sym_equal. exact zenon_H5a.
% 8.45/8.70 (* end of lemma zenon_L53_ *)
% 8.45/8.70 assert (zenon_L54_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hed zenon_Hb0 zenon_Hd6 zenon_He4 zenon_H3c zenon_He7 zenon_Heb zenon_H98.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ].
% 8.45/8.70 apply (zenon_L50_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He5 | zenon_intro zenon_Hef ].
% 8.45/8.70 apply (zenon_L51_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_H5a ].
% 8.45/8.70 apply (zenon_L52_); trivial.
% 8.45/8.70 apply (zenon_L53_); trivial.
% 8.45/8.70 (* end of lemma zenon_L54_ *)
% 8.45/8.70 assert (zenon_L55_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_H7d.
% 8.45/8.70 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.45/8.70 cut (((e2) = (e2)) = ((e1) = (e2))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H7d.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H79.
% 8.45/8.70 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.70 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hce.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_Hf0.
% 8.45/8.70 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.70 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Hf2 zenon_Hf1).
% 8.45/8.70 apply zenon_H40. apply refl_equal.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 apply zenon_H4b. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L55_ *)
% 8.45/8.70 assert (zenon_L56_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hf3 zenon_H2a zenon_Hf4.
% 8.45/8.70 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hf3.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H2a.
% 8.45/8.70 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 8.45/8.70 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H6e. apply refl_equal.
% 8.45/8.70 apply zenon_Hf5. apply sym_equal. exact zenon_Hf4.
% 8.45/8.70 (* end of lemma zenon_L56_ *)
% 8.45/8.70 assert (zenon_L57_ : (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Ha3 zenon_H98 zenon_Hf6.
% 8.45/8.70 cut (((op (e3) (e2)) = (e3)) = ((e1) = (e3))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Ha3.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H98.
% 8.45/8.70 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.70 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 8.45/8.70 congruence.
% 8.45/8.70 exact (zenon_Hf7 zenon_Hf6).
% 8.45/8.70 apply zenon_H58. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L57_ *)
% 8.45/8.70 assert (zenon_L58_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hf8 zenon_H78 zenon_H1e zenon_Heb zenon_He7 zenon_H3c zenon_Hed zenon_Hc9 zenon_Hf9 zenon_H7d zenon_H2a zenon_Hf3 zenon_H98 zenon_Ha3 zenon_He4 zenon_Hd6.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.45/8.70 apply (zenon_L21_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.45/8.70 apply (zenon_L54_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.45/8.70 apply (zenon_L44_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.45/8.70 apply (zenon_L55_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.45/8.70 apply (zenon_L56_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.45/8.70 apply (zenon_L57_); trivial.
% 8.45/8.70 apply (zenon_L51_); trivial.
% 8.45/8.70 (* end of lemma zenon_L58_ *)
% 8.45/8.70 assert (zenon_L59_ : ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H3c zenon_Hfe zenon_Hff.
% 8.45/8.70 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H100 | zenon_intro zenon_Hea ].
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hff.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H100.
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e0) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H101.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H3c.
% 8.45/8.70 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_Hea. apply refl_equal.
% 8.45/8.70 apply zenon_H102. apply sym_equal. exact zenon_Hfe.
% 8.45/8.70 apply zenon_Hea. apply refl_equal.
% 8.45/8.70 apply zenon_Hea. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L59_ *)
% 8.45/8.70 assert (zenon_L60_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hd0 zenon_H103 zenon_Hb3.
% 8.45/8.70 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_Hd0.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H103.
% 8.45/8.70 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H104].
% 8.45/8.70 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_H33. apply refl_equal.
% 8.45/8.70 apply zenon_H104. apply sym_equal. exact zenon_Hb3.
% 8.45/8.70 (* end of lemma zenon_L60_ *)
% 8.45/8.70 assert (zenon_L61_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (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) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H105 zenon_Hd1 zenon_He4 zenon_Ha3 zenon_H98 zenon_Hf3 zenon_H2a zenon_H7d zenon_Hf9 zenon_Hc9 zenon_Hed zenon_He7 zenon_Heb zenon_H1e zenon_H78 zenon_Hf8 zenon_Hff zenon_H3c zenon_Hd0 zenon_Hb3.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.45/8.70 apply (zenon_L47_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.45/8.70 apply (zenon_L58_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.45/8.70 apply (zenon_L59_); trivial.
% 8.45/8.70 apply (zenon_L60_); trivial.
% 8.45/8.70 (* end of lemma zenon_L61_ *)
% 8.45/8.70 assert (zenon_L62_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (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) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_Hba zenon_H9a zenon_H94 zenon_H90 zenon_H71 zenon_H9f zenon_Ha8 zenon_H93 zenon_H105 zenon_Hd1 zenon_He4 zenon_Ha3 zenon_H98 zenon_Hf3 zenon_H2a zenon_H7d zenon_Hf9 zenon_Hc9 zenon_Hed zenon_He7 zenon_Heb zenon_H1e zenon_H78 zenon_Hf8 zenon_Hff zenon_H3c zenon_Hd0.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.45/8.70 apply (zenon_L30_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.45/8.70 apply (zenon_L31_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.45/8.70 apply (zenon_L32_); trivial.
% 8.45/8.70 apply (zenon_L61_); trivial.
% 8.45/8.70 (* end of lemma zenon_L62_ *)
% 8.45/8.70 assert (zenon_L63_ : ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H3c zenon_H108 zenon_H109.
% 8.45/8.70 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H100 | zenon_intro zenon_Hea ].
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H109.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H100.
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 8.45/8.70 congruence.
% 8.45/8.70 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e1) (e3)))).
% 8.45/8.70 intro zenon_D_pnotp.
% 8.45/8.70 apply zenon_H10a.
% 8.45/8.70 rewrite <- zenon_D_pnotp.
% 8.45/8.70 exact zenon_H3c.
% 8.45/8.70 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H10b].
% 8.45/8.70 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.70 congruence.
% 8.45/8.70 apply zenon_Hea. apply refl_equal.
% 8.45/8.70 apply zenon_H10b. apply sym_equal. exact zenon_H108.
% 8.45/8.70 apply zenon_Hea. apply refl_equal.
% 8.45/8.70 apply zenon_Hea. apply refl_equal.
% 8.45/8.70 (* end of lemma zenon_L63_ *)
% 8.45/8.70 assert (zenon_L64_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H10c zenon_Hc2 zenon_Hbf zenon_Hab zenon_Hb4 zenon_H74 zenon_Hb7 zenon_H3a zenon_H67 zenon_Hc5 zenon_Hd0 zenon_Hff zenon_Hf8 zenon_H78 zenon_H1e zenon_Heb zenon_He7 zenon_Hed zenon_Hc9 zenon_Hf9 zenon_H7d zenon_H2a zenon_Hf3 zenon_H98 zenon_Ha3 zenon_He4 zenon_Hd1 zenon_H105 zenon_Ha8 zenon_H9f zenon_H71 zenon_H90 zenon_H94 zenon_H9a zenon_Hba zenon_H3c zenon_H109.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.45/8.70 apply (zenon_L43_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.45/8.70 apply (zenon_L46_); trivial.
% 8.45/8.70 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.45/8.70 apply (zenon_L62_); trivial.
% 8.45/8.70 apply (zenon_L63_); trivial.
% 8.45/8.70 (* end of lemma zenon_L64_ *)
% 8.45/8.70 assert (zenon_L65_ : (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> False).
% 8.45/8.70 do 0 intro. intros zenon_H78 zenon_H3c zenon_H10f.
% 8.45/8.70 cut (((op (e2) (e3)) = (e2)) = ((e0) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H78.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H3c.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H110 zenon_H10f).
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L65_ *)
% 8.45/8.71 assert (zenon_L66_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_He4 zenon_H30 zenon_Hd4.
% 8.45/8.71 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_He4.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H30.
% 8.45/8.71 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H33. apply refl_equal.
% 8.45/8.71 apply zenon_Hdd. apply sym_equal. exact zenon_Hd4.
% 8.45/8.71 (* end of lemma zenon_L66_ *)
% 8.45/8.71 assert (zenon_L67_ : ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((e2) = (op (op (e3) (e3)) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hfe zenon_Hd4 zenon_H111.
% 8.45/8.71 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e2) = (op (op (e3) (e3)) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H111.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hd8.
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e3)) = (e2)) = ((op (op (e3) (e3)) (e3)) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H112.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hfe.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hdb.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hd8.
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 8.45/8.71 congruence.
% 8.45/8.71 apply (zenon_L48_); trivial.
% 8.45/8.71 apply zenon_Hd9. apply refl_equal.
% 8.45/8.71 apply zenon_Hd9. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 apply zenon_Hd9. apply refl_equal.
% 8.45/8.71 apply zenon_Hd9. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L67_ *)
% 8.45/8.71 assert (zenon_L68_ : ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hc9 zenon_Hfe zenon_Hd4.
% 8.45/8.71 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_Hdd | zenon_intro zenon_H113 ].
% 8.45/8.71 apply zenon_Hdd. apply sym_equal. exact zenon_Hd4.
% 8.45/8.71 apply (zenon_notand_s _ _ zenon_H113); [ zenon_intro zenon_H114 | zenon_intro zenon_H111 ].
% 8.45/8.71 elim (classic ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_Hdf | zenon_intro zenon_He0 ].
% 8.45/8.71 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) = ((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H114.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hdf.
% 8.45/8.71 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 8.45/8.71 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e0)) = (e1)) = ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H115.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hc9.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_Hdf | zenon_intro zenon_He0 ].
% 8.45/8.71 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) = ((op (e2) (e0)) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H116.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hdf.
% 8.45/8.71 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 8.45/8.71 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e3)) = (e2)) = ((op (op (e3) (e3)) (e3)) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H112.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hfe.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hdb.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hd8.
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.45/8.71 cut (((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 8.45/8.71 congruence.
% 8.45/8.71 apply (zenon_L48_); trivial.
% 8.45/8.71 apply zenon_Hd9. apply refl_equal.
% 8.45/8.71 apply zenon_Hd9. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 exact (zenon_Hd5 zenon_Hd4).
% 8.45/8.71 apply zenon_He0. apply refl_equal.
% 8.45/8.71 apply zenon_He0. apply refl_equal.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 apply zenon_He0. apply refl_equal.
% 8.45/8.71 apply zenon_He0. apply refl_equal.
% 8.45/8.71 apply (zenon_L67_); trivial.
% 8.45/8.71 (* end of lemma zenon_L68_ *)
% 8.45/8.71 assert (zenon_L69_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hf9 zenon_H7d zenon_Hf1 zenon_H2a zenon_Hf3 zenon_H98 zenon_Ha3 zenon_H105 zenon_He4 zenon_Hd4 zenon_Hc9 zenon_Hd0 zenon_Hb3.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.45/8.71 apply (zenon_L55_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.45/8.71 apply (zenon_L56_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.45/8.71 apply (zenon_L57_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.45/8.71 apply (zenon_L66_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.45/8.71 apply (zenon_L51_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.45/8.71 apply (zenon_L68_); trivial.
% 8.45/8.71 apply (zenon_L60_); trivial.
% 8.45/8.71 (* end of lemma zenon_L69_ *)
% 8.45/8.71 assert (zenon_L70_ : (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e2)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H118 zenon_H7e.
% 8.45/8.71 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (op (e0) (e2))) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H118.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H7e.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2))))); [ zenon_intro zenon_H11a | zenon_intro zenon_H11b ].
% 8.45/8.71 cut (((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e2))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H119.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H11a.
% 8.45/8.71 cut (((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H11b].
% 8.45/8.71 cut (((op (e0) (op (e0) (e2))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 exact (zenon_H11d zenon_H7e).
% 8.45/8.71 apply zenon_H11b. apply refl_equal.
% 8.45/8.71 apply zenon_H11b. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L70_ *)
% 8.45/8.71 assert (zenon_L71_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (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) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((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)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H11e zenon_H109 zenon_H11f zenon_H31 zenon_Hba zenon_H9a zenon_H94 zenon_H90 zenon_H71 zenon_H9f zenon_Ha8 zenon_Hed zenon_He7 zenon_Heb zenon_H1e zenon_Hf8 zenon_Hc5 zenon_H67 zenon_H3a zenon_Hb7 zenon_H74 zenon_Hb4 zenon_Hab zenon_Hbf zenon_Hc2 zenon_H10c zenon_H78 zenon_Hf9 zenon_H7d zenon_H2a zenon_Hf3 zenon_H98 zenon_Ha3 zenon_H105 zenon_He4 zenon_Hc9 zenon_Hd0 zenon_H6c zenon_H118 zenon_H3c zenon_Hff.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.45/8.71 apply (zenon_L21_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.45/8.71 apply (zenon_L21_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.45/8.71 apply (zenon_L43_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.45/8.71 apply (zenon_L44_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.45/8.71 apply (zenon_L43_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.45/8.71 apply (zenon_L45_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.45/8.71 apply (zenon_L30_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.45/8.71 apply (zenon_L31_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.45/8.71 apply (zenon_L32_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.45/8.71 apply (zenon_L4_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.45/8.71 apply (zenon_L64_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.45/8.71 apply (zenon_L65_); trivial.
% 8.45/8.71 apply (zenon_L69_); trivial.
% 8.45/8.71 apply (zenon_L63_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.45/8.71 apply (zenon_L70_); trivial.
% 8.45/8.71 apply (zenon_L59_); trivial.
% 8.45/8.71 (* end of lemma zenon_L71_ *)
% 8.45/8.71 assert (zenon_L72_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H24 zenon_H1d zenon_H124.
% 8.45/8.71 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 8.45/8.71 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e1)) = (op (e0) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H124.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H26.
% 8.45/8.71 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.71 cut (((op (e0) (e2)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H125].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H125.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H24.
% 8.45/8.71 cut (((e0) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 8.45/8.71 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H27. apply refl_equal.
% 8.45/8.71 apply zenon_H126. apply sym_equal. exact zenon_H1d.
% 8.45/8.71 apply zenon_H27. apply refl_equal.
% 8.45/8.71 apply zenon_H27. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L72_ *)
% 8.45/8.71 assert (zenon_L73_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H127 zenon_H1d zenon_H30.
% 8.45/8.71 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H127.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1d.
% 8.45/8.71 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H128].
% 8.45/8.71 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H21. apply refl_equal.
% 8.45/8.71 apply zenon_H128. apply sym_equal. exact zenon_H30.
% 8.45/8.71 (* end of lemma zenon_L73_ *)
% 8.45/8.71 assert (zenon_L74_ : (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H129 zenon_H29 zenon_H35.
% 8.45/8.71 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H129.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H29.
% 8.45/8.71 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H2d. apply refl_equal.
% 8.45/8.71 apply zenon_H12a. apply sym_equal. exact zenon_H35.
% 8.45/8.71 (* end of lemma zenon_L74_ *)
% 8.45/8.71 assert (zenon_L75_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H3c zenon_Hc8 zenon_H12b.
% 8.45/8.71 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H100 | zenon_intro zenon_Hea ].
% 8.45/8.71 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H12b.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H100.
% 8.45/8.71 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.71 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H12c.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H3c.
% 8.45/8.71 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 8.45/8.71 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_Hea. apply refl_equal.
% 8.45/8.71 apply zenon_H12d. apply sym_equal. exact zenon_Hc8.
% 8.45/8.71 apply zenon_Hea. apply refl_equal.
% 8.45/8.71 apply zenon_Hea. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L75_ *)
% 8.45/8.71 assert (zenon_L76_ : (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H12e zenon_H1d zenon_H66.
% 8.45/8.71 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H12e.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1d.
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H130 | zenon_intro zenon_H131 ].
% 8.45/8.71 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H12f.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H130.
% 8.45/8.71 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 8.45/8.71 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 exact (zenon_H6a zenon_H66).
% 8.45/8.71 apply zenon_H131. apply refl_equal.
% 8.45/8.71 apply zenon_H131. apply refl_equal.
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L76_ *)
% 8.45/8.71 assert (zenon_L77_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1d zenon_H6b zenon_H67.
% 8.45/8.71 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H68 | zenon_intro zenon_H40 ].
% 8.45/8.71 cut (((e1) = (e1)) = ((e0) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H67.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H68.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H69.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1d.
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H133 zenon_H6b).
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L77_ *)
% 8.45/8.71 assert (zenon_L78_ : ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H29 zenon_H71 zenon_H134.
% 8.45/8.71 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H134.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H2c.
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e0) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H135.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H29.
% 8.45/8.71 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H2d. apply refl_equal.
% 8.45/8.71 apply zenon_H136. apply sym_equal. exact zenon_H71.
% 8.45/8.71 apply zenon_H2d. apply refl_equal.
% 8.45/8.71 apply zenon_H2d. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L78_ *)
% 8.45/8.71 assert (zenon_L79_ : ((op (e2) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hc8 zenon_H77 zenon_H137.
% 8.45/8.71 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H137.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H138.
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e0) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H13a.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hc8.
% 8.45/8.71 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H139. apply refl_equal.
% 8.45/8.71 apply zenon_H13b. apply sym_equal. exact zenon_H77.
% 8.45/8.71 apply zenon_H139. apply refl_equal.
% 8.45/8.71 apply zenon_H139. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L79_ *)
% 8.45/8.71 assert (zenon_L80_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1d zenon_Hcb zenon_H78.
% 8.45/8.71 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.45/8.71 cut (((e2) = (e2)) = ((e0) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H78.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H79.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H7a.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1d.
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H13c zenon_Hcb).
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L80_ *)
% 8.45/8.71 assert (zenon_L81_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hd6 zenon_Hfe zenon_H7d.
% 8.45/8.71 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.45/8.71 cut (((e2) = (e2)) = ((e1) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H7d.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H79.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hce.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hd6.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H13d zenon_Hfe).
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L81_ *)
% 8.45/8.71 assert (zenon_L82_ : (~((op (e1) (op (e1) (e0))) = (e0))) -> ((op (e1) (e0)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H49 zenon_Hac.
% 8.45/8.71 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (op (e1) (e0))) = (e0))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H49.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hac.
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H13e].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0))))); [ zenon_intro zenon_H13f | zenon_intro zenon_H140 ].
% 8.45/8.71 cut (((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e0))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H13e.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H13f.
% 8.45/8.71 cut (((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 8.45/8.71 cut (((op (e1) (op (e1) (e0))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e1) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 exact (zenon_H142 zenon_Hac).
% 8.45/8.71 apply zenon_H140. apply refl_equal.
% 8.45/8.71 apply zenon_H140. apply refl_equal.
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L82_ *)
% 8.45/8.71 assert (zenon_L83_ : (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H78 zenon_Hc8 zenon_H143.
% 8.45/8.71 cut (((op (e2) (e0)) = (e2)) = ((e0) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H78.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hc8.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((op (e2) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H144 zenon_H143).
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L83_ *)
% 8.45/8.71 assert (zenon_L84_ : ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hc8 zenon_Hb0 zenon_H145.
% 8.45/8.71 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H145.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H138.
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e1) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H146.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hc8.
% 8.45/8.71 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H139. apply refl_equal.
% 8.45/8.71 apply zenon_Hb2. apply sym_equal. exact zenon_Hb0.
% 8.45/8.71 apply zenon_H139. apply refl_equal.
% 8.45/8.71 apply zenon_H139. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L84_ *)
% 8.45/8.71 assert (zenon_L85_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H41 zenon_H29 zenon_Hcc.
% 8.45/8.71 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H41.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H29.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 8.45/8.71 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H147.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H43.
% 8.45/8.71 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 8.45/8.71 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 exact (zenon_Hcf zenon_Hcc).
% 8.45/8.71 apply zenon_H44. apply refl_equal.
% 8.45/8.71 apply zenon_H44. apply refl_equal.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L85_ *)
% 8.45/8.71 assert (zenon_L86_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H134 zenon_H7e zenon_H93.
% 8.45/8.71 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H134.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H7e.
% 8.45/8.71 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 8.45/8.71 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H27. apply refl_equal.
% 8.45/8.71 apply zenon_H97. apply sym_equal. exact zenon_H93.
% 8.45/8.71 (* end of lemma zenon_L86_ *)
% 8.45/8.71 assert (zenon_L87_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hd6 zenon_H66 zenon_H31.
% 8.45/8.71 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H32 | zenon_intro zenon_H33 ].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e0)) = (op (e0) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H31.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H32.
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H34.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hd6.
% 8.45/8.71 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H33. apply refl_equal.
% 8.45/8.71 apply zenon_H72. apply sym_equal. exact zenon_H66.
% 8.45/8.71 apply zenon_H33. apply refl_equal.
% 8.45/8.71 apply zenon_H33. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L87_ *)
% 8.45/8.71 assert (zenon_L88_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hd0 zenon_Hfe zenon_H108.
% 8.45/8.71 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hd0.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hfe.
% 8.45/8.71 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H10b].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H33. apply refl_equal.
% 8.45/8.71 apply zenon_H10b. apply sym_equal. exact zenon_H108.
% 8.45/8.71 (* end of lemma zenon_L88_ *)
% 8.45/8.71 assert (zenon_L89_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H5a zenon_H103 zenon_He4.
% 8.45/8.71 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 8.45/8.71 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_He4.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H149.
% 8.45/8.71 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 8.45/8.71 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14b].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H14b.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H5a.
% 8.45/8.71 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 8.45/8.71 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H14a. apply refl_equal.
% 8.45/8.71 apply zenon_H14c. apply sym_equal. exact zenon_H103.
% 8.45/8.71 apply zenon_H14a. apply refl_equal.
% 8.45/8.71 apply zenon_H14a. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L89_ *)
% 8.45/8.71 assert (zenon_L90_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H10c zenon_H145 zenon_Hc8 zenon_H29 zenon_H41 zenon_H7e zenon_H134 zenon_H105 zenon_Hd1 zenon_H31 zenon_H66 zenon_Hd0 zenon_H5a zenon_He4.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.45/8.71 apply (zenon_L84_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.45/8.71 apply (zenon_L85_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.45/8.71 apply (zenon_L86_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.45/8.71 apply (zenon_L47_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.45/8.71 apply (zenon_L87_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.45/8.71 apply (zenon_L88_); trivial.
% 8.45/8.71 apply (zenon_L89_); trivial.
% 8.45/8.71 (* end of lemma zenon_L90_ *)
% 8.45/8.71 assert (zenon_L91_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hff zenon_H30 zenon_H10f.
% 8.45/8.71 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hff.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H30.
% 8.45/8.71 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H33. apply refl_equal.
% 8.45/8.71 apply zenon_H14d. apply sym_equal. exact zenon_H10f.
% 8.45/8.71 (* end of lemma zenon_L91_ *)
% 8.45/8.71 assert (zenon_L92_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H105 zenon_H10f zenon_Hff zenon_H31 zenon_H66 zenon_H108 zenon_Hd0 zenon_H5a zenon_He4.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.45/8.71 apply (zenon_L91_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.45/8.71 apply (zenon_L87_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.45/8.71 apply (zenon_L88_); trivial.
% 8.45/8.71 apply (zenon_L89_); trivial.
% 8.45/8.71 (* end of lemma zenon_L92_ *)
% 8.45/8.71 assert (zenon_L93_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H29 zenon_H73 zenon_Hab.
% 8.45/8.71 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hab.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H2c.
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hb1.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H29.
% 8.45/8.71 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H2d. apply refl_equal.
% 8.45/8.71 apply zenon_H76. apply sym_equal. exact zenon_H73.
% 8.45/8.71 apply zenon_H2d. apply refl_equal.
% 8.45/8.71 apply zenon_H2d. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L93_ *)
% 8.45/8.71 assert (zenon_L94_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H14e zenon_Hf0 zenon_H67.
% 8.45/8.71 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H68 | zenon_intro zenon_H40 ].
% 8.45/8.71 cut (((e1) = (e1)) = ((e0) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H67.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H68.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H69.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H14e.
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H14f zenon_Hf0).
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L94_ *)
% 8.45/8.71 assert (zenon_L95_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H150 zenon_H31 zenon_Hd6 zenon_Hab zenon_H29 zenon_Hc8 zenon_H7d zenon_H14e zenon_H67.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.45/8.71 apply (zenon_L87_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.45/8.71 apply (zenon_L93_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.45/8.71 apply (zenon_L44_); trivial.
% 8.45/8.71 apply (zenon_L94_); trivial.
% 8.45/8.71 (* end of lemma zenon_L95_ *)
% 8.45/8.71 assert (zenon_L96_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H153 zenon_H7e zenon_Hfe.
% 8.45/8.71 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H153.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H7e.
% 8.45/8.71 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 8.45/8.71 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H27. apply refl_equal.
% 8.45/8.71 apply zenon_H102. apply sym_equal. exact zenon_Hfe.
% 8.45/8.71 (* end of lemma zenon_L96_ *)
% 8.45/8.71 assert (zenon_L97_ : (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e2)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H154 zenon_H93.
% 8.45/8.71 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (op (e1) (e2))) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H154.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H93.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H155].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2))))); [ zenon_intro zenon_H156 | zenon_intro zenon_H157 ].
% 8.45/8.71 cut (((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e2))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H155.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H156.
% 8.45/8.71 cut (((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 8.45/8.71 cut (((op (e1) (op (e1) (e2))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 exact (zenon_H159 zenon_H93).
% 8.45/8.71 apply zenon_H157. apply refl_equal.
% 8.45/8.71 apply zenon_H157. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L97_ *)
% 8.45/8.71 assert (zenon_L98_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H10c zenon_H145 zenon_Hc8 zenon_H29 zenon_H41 zenon_H154 zenon_Hd0 zenon_Hfe.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.45/8.71 apply (zenon_L84_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.45/8.71 apply (zenon_L85_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.45/8.71 apply (zenon_L97_); trivial.
% 8.45/8.71 apply (zenon_L88_); trivial.
% 8.45/8.71 (* end of lemma zenon_L98_ *)
% 8.45/8.71 assert (zenon_L99_ : (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e2) (e1)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H56 zenon_H15a.
% 8.45/8.71 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (op (e2) (e1))) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H56.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H15a.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1))))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 8.45/8.71 cut (((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e1))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H15b.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H15c.
% 8.45/8.71 cut (((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 8.45/8.71 cut (((op (e2) (op (e2) (e1))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H15e].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 exact (zenon_H15f zenon_H15a).
% 8.45/8.71 apply zenon_H15d. apply refl_equal.
% 8.45/8.71 apply zenon_H15d. apply refl_equal.
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L99_ *)
% 8.45/8.71 assert (zenon_L100_ : (~((op (e2) (op (e2) (e0))) = (e0))) -> ((op (e2) (e0)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H54 zenon_H143.
% 8.45/8.71 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (op (e2) (e0))) = (e0))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H54.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H143.
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H160].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0))))); [ zenon_intro zenon_H161 | zenon_intro zenon_H162 ].
% 8.45/8.71 cut (((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e0))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H160.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H161.
% 8.45/8.71 cut (((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 8.45/8.71 cut (((op (e2) (op (e2) (e0))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 exact (zenon_H144 zenon_H143).
% 8.45/8.71 apply zenon_H162. apply refl_equal.
% 8.45/8.71 apply zenon_H162. apply refl_equal.
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L100_ *)
% 8.45/8.71 assert (zenon_L101_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H164 zenon_H1d zenon_H165.
% 8.45/8.71 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H164.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1d.
% 8.45/8.71 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 8.45/8.71 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H21. apply refl_equal.
% 8.45/8.71 apply zenon_H166. apply sym_equal. exact zenon_H165.
% 8.45/8.71 (* end of lemma zenon_L101_ *)
% 8.45/8.71 assert (zenon_L102_ : (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H4c zenon_Hc8 zenon_H80.
% 8.45/8.71 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H4c.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hc8.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H167].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H4e | zenon_intro zenon_H4f ].
% 8.45/8.71 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H167.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H4e.
% 8.45/8.71 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 8.45/8.71 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 exact (zenon_H81 zenon_H80).
% 8.45/8.71 apply zenon_H4f. apply refl_equal.
% 8.45/8.71 apply zenon_H4f. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L102_ *)
% 8.45/8.71 assert (zenon_L103_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H169 zenon_H15a zenon_Hf4.
% 8.45/8.71 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H169.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H15a.
% 8.45/8.71 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 apply zenon_Hf5. apply sym_equal. exact zenon_Hf4.
% 8.45/8.71 (* end of lemma zenon_L103_ *)
% 8.45/8.71 assert (zenon_L104_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H94 zenon_H29 zenon_H91.
% 8.45/8.71 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H94.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H29.
% 8.45/8.71 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 8.45/8.71 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H2d. apply refl_equal.
% 8.45/8.71 apply zenon_H92. apply sym_equal. exact zenon_H91.
% 8.45/8.71 (* end of lemma zenon_L104_ *)
% 8.45/8.71 assert (zenon_L105_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hb4 zenon_Hac zenon_Hd1.
% 8.45/8.71 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hb4.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hac.
% 8.45/8.71 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 8.45/8.71 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_Haf. apply refl_equal.
% 8.45/8.71 apply zenon_Hd2. apply sym_equal. exact zenon_Hd1.
% 8.45/8.71 (* end of lemma zenon_L105_ *)
% 8.45/8.71 assert (zenon_L106_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H109 zenon_H35 zenon_H16b.
% 8.45/8.71 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H109.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H35.
% 8.45/8.71 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 8.45/8.71 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H38. apply refl_equal.
% 8.45/8.71 apply zenon_H16c. apply sym_equal. exact zenon_H16b.
% 8.45/8.71 (* end of lemma zenon_L106_ *)
% 8.45/8.71 assert (zenon_L107_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hff zenon_Hd6 zenon_H16b.
% 8.45/8.71 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hff.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hd6.
% 8.45/8.71 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H33. apply refl_equal.
% 8.45/8.71 apply zenon_H16c. apply sym_equal. exact zenon_H16b.
% 8.45/8.71 (* end of lemma zenon_L107_ *)
% 8.45/8.71 assert (zenon_L108_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H105 zenon_H10f zenon_H16b zenon_Hff zenon_H108 zenon_Hd0 zenon_H5a zenon_He4.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.45/8.71 apply (zenon_L91_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.45/8.71 apply (zenon_L107_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.45/8.71 apply (zenon_L88_); trivial.
% 8.45/8.71 apply (zenon_L89_); trivial.
% 8.45/8.71 (* end of lemma zenon_L108_ *)
% 8.45/8.71 assert (zenon_L109_ : ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H5a zenon_Hb3 zenon_H16d.
% 8.45/8.71 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 8.45/8.71 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H16d.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H149.
% 8.45/8.71 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 8.45/8.71 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H16e.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H5a.
% 8.45/8.71 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H104].
% 8.45/8.71 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H14a. apply refl_equal.
% 8.45/8.71 apply zenon_H104. apply sym_equal. exact zenon_Hb3.
% 8.45/8.71 apply zenon_H14a. apply refl_equal.
% 8.45/8.71 apply zenon_H14a. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L109_ *)
% 8.45/8.71 assert (zenon_L110_ : (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H67 zenon_H29 zenon_Had.
% 8.45/8.71 cut (((op (e1) (e2)) = (e1)) = ((e0) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H67.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H29.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H16f zenon_Had).
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L110_ *)
% 8.45/8.71 assert (zenon_L111_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H170 zenon_H14e zenon_Hc3.
% 8.45/8.71 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H170.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H14e.
% 8.45/8.71 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 8.45/8.71 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H172. apply refl_equal.
% 8.45/8.71 apply zenon_H171. apply sym_equal. exact zenon_Hc3.
% 8.45/8.71 (* end of lemma zenon_L111_ *)
% 8.45/8.71 assert (zenon_L112_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H3b zenon_Hc8 zenon_H173.
% 8.45/8.71 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H3e ].
% 8.45/8.71 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H173.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H95.
% 8.45/8.71 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 8.45/8.71 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H174.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H3b.
% 8.45/8.71 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 8.45/8.71 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H3e. apply refl_equal.
% 8.45/8.71 apply zenon_H12d. apply sym_equal. exact zenon_Hc8.
% 8.45/8.71 apply zenon_H3e. apply refl_equal.
% 8.45/8.71 apply zenon_H3e. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L112_ *)
% 8.45/8.71 assert (zenon_L113_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H175 zenon_H1d zenon_H1f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H1e. zenon_intro zenon_H176.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1e. zenon_intro zenon_H177.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.45/8.71 apply (zenon_L1_); trivial.
% 8.45/8.71 (* end of lemma zenon_L113_ *)
% 8.45/8.71 assert (zenon_L114_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H178 zenon_H1f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H1e. zenon_intro zenon_H179.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H1e. zenon_intro zenon_H17a.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.45/8.71 apply (zenon_L1_); trivial.
% 8.45/8.71 (* end of lemma zenon_L114_ *)
% 8.45/8.71 assert (zenon_L115_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H17b zenon_H25.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H1e. zenon_intro zenon_H17c.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1e. zenon_intro zenon_H17d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.45/8.71 apply (zenon_L2_); trivial.
% 8.45/8.71 (* end of lemma zenon_L115_ *)
% 8.45/8.71 assert (zenon_L116_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H17b zenon_H25.
% 8.45/8.71 apply (zenon_L115_); trivial.
% 8.45/8.71 (* end of lemma zenon_L116_ *)
% 8.45/8.71 assert (zenon_L117_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H17e zenon_H31.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H1e. zenon_intro zenon_H17f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H1e. zenon_intro zenon_H180.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.45/8.71 apply (zenon_L4_); trivial.
% 8.45/8.71 (* end of lemma zenon_L117_ *)
% 8.45/8.71 assert (zenon_L118_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H17e zenon_H31.
% 8.45/8.71 apply (zenon_L117_); trivial.
% 8.45/8.71 (* end of lemma zenon_L118_ *)
% 8.45/8.71 assert (zenon_L119_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H35 zenon_H73 zenon_Hb4.
% 8.45/8.71 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 8.45/8.71 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hb4.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H37.
% 8.45/8.71 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.45/8.71 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hb5.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H35.
% 8.45/8.71 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 8.45/8.71 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H38. apply refl_equal.
% 8.45/8.71 apply zenon_H76. apply sym_equal. exact zenon_H73.
% 8.45/8.71 apply zenon_H38. apply refl_equal.
% 8.45/8.71 apply zenon_H38. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L119_ *)
% 8.45/8.71 assert (zenon_L120_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H181 zenon_H35 zenon_Hb4.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H1d. zenon_intro zenon_H182.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hac. zenon_intro zenon_H183.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.45/8.71 apply (zenon_L119_); trivial.
% 8.45/8.71 (* end of lemma zenon_L120_ *)
% 8.45/8.71 assert (zenon_L121_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H184 zenon_H35 zenon_H36.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H1d. zenon_intro zenon_H185.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Hac. zenon_intro zenon_H186.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.45/8.71 apply (zenon_L5_); trivial.
% 8.45/8.71 (* end of lemma zenon_L121_ *)
% 8.45/8.71 assert (zenon_L122_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H187 zenon_H129 zenon_H35.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Hac. zenon_intro zenon_H189.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.45/8.71 apply (zenon_L74_); trivial.
% 8.45/8.71 (* end of lemma zenon_L122_ *)
% 8.45/8.71 assert (zenon_L123_ : (~((op (e0) (op (e0) (e3))) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H18a zenon_H103.
% 8.45/8.71 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (op (e0) (e3))) = (e3))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H18a.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H103.
% 8.45/8.71 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.71 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 8.45/8.71 congruence.
% 8.45/8.71 elim (classic ((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3))))); [ zenon_intro zenon_H18c | zenon_intro zenon_H18d ].
% 8.45/8.71 cut (((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e3))))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H18b.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H18c.
% 8.45/8.71 cut (((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d].
% 8.45/8.71 cut (((op (e0) (op (e0) (e3))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H18e].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 exact (zenon_H18f zenon_H103).
% 8.45/8.71 apply zenon_H18d. apply refl_equal.
% 8.45/8.71 apply zenon_H18d. apply refl_equal.
% 8.45/8.71 apply zenon_H58. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L123_ *)
% 8.45/8.71 assert (zenon_L124_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H35 zenon_Hb3 zenon_Ha3.
% 8.45/8.71 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.45/8.71 cut (((e3) = (e3)) = ((e1) = (e3))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Ha3.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Ha4.
% 8.45/8.71 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.71 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e1) (e3)) = (e1)) = ((e3) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Ha5.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H35.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H190 zenon_Hb3).
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 apply zenon_H58. apply refl_equal.
% 8.45/8.71 apply zenon_H58. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L124_ *)
% 8.45/8.71 assert (zenon_L125_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H191 zenon_Hc8 zenon_H192.
% 8.45/8.71 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H193 | zenon_intro zenon_H16a ].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H192.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H193.
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H194.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H191.
% 8.45/8.71 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 apply zenon_H12d. apply sym_equal. exact zenon_Hc8.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L125_ *)
% 8.45/8.71 assert (zenon_L126_ : ((op (e2) (e3)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H195 zenon_H196 zenon_H197.
% 8.45/8.71 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H100 | zenon_intro zenon_Hea ].
% 8.45/8.71 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H197.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H100.
% 8.45/8.71 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.71 cut (((op (e2) (e3)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e2) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H198.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H195.
% 8.45/8.71 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 8.45/8.71 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_Hea. apply refl_equal.
% 8.45/8.71 apply zenon_H199. apply sym_equal. exact zenon_H196.
% 8.45/8.71 apply zenon_Hea. apply refl_equal.
% 8.45/8.71 apply zenon_Hea. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L126_ *)
% 8.45/8.71 assert (zenon_L127_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H19a zenon_H1d zenon_H164 zenon_Hf4 zenon_H169 zenon_H192 zenon_Hc8 zenon_H195 zenon_H197.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H165 | zenon_intro zenon_H19b ].
% 8.45/8.71 apply (zenon_L101_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H15a | zenon_intro zenon_H19c ].
% 8.45/8.71 apply (zenon_L103_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H196 ].
% 8.45/8.71 apply (zenon_L125_); trivial.
% 8.45/8.71 apply (zenon_L126_); trivial.
% 8.45/8.71 (* end of lemma zenon_L127_ *)
% 8.45/8.71 assert (zenon_L128_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H24 zenon_H7e zenon_H78.
% 8.45/8.71 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.45/8.71 cut (((e2) = (e2)) = ((e0) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H78.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H79.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e2)) = (e0)) = ((e2) = (e0))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H7a.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H24.
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H11d zenon_H7e).
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L128_ *)
% 8.45/8.71 assert (zenon_L129_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((e0) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H19d zenon_H78.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H24. zenon_intro zenon_H19e.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H143. zenon_intro zenon_H19f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.45/8.71 apply (zenon_L128_); trivial.
% 8.45/8.71 (* end of lemma zenon_L129_ *)
% 8.45/8.71 assert (zenon_L130_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1a0 zenon_Hc8 zenon_H192.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.45/8.71 apply (zenon_L125_); trivial.
% 8.45/8.71 (* end of lemma zenon_L130_ *)
% 8.45/8.71 assert (zenon_L131_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1a3 zenon_Hc8 zenon_H173.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H24. zenon_intro zenon_H1a4.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H143. zenon_intro zenon_H1a5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.45/8.71 apply (zenon_L112_); trivial.
% 8.45/8.71 (* end of lemma zenon_L131_ *)
% 8.45/8.71 assert (zenon_L132_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1a6 zenon_Hc8 zenon_H12b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H24. zenon_intro zenon_H1a7.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H143. zenon_intro zenon_H1a8.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.45/8.71 apply (zenon_L75_); trivial.
% 8.45/8.71 (* end of lemma zenon_L132_ *)
% 8.45/8.71 assert (zenon_L133_ : (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hc2 zenon_H1a9 zenon_H14e.
% 8.45/8.71 cut (((op (e3) (e0)) = (e3)) = ((e0) = (e3))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hc2.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1a9.
% 8.45/8.71 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.71 cut (((op (e3) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H1aa zenon_H14e).
% 8.45/8.71 apply zenon_H58. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L133_ *)
% 8.45/8.71 assert (zenon_L134_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ab zenon_Hc2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H30. zenon_intro zenon_H1ac.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H14e. zenon_intro zenon_H1ad.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.45/8.71 apply (zenon_L133_); trivial.
% 8.45/8.71 (* end of lemma zenon_L134_ *)
% 8.45/8.71 assert (zenon_L135_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ab zenon_Hc2.
% 8.45/8.71 apply (zenon_L134_); trivial.
% 8.45/8.71 (* end of lemma zenon_L135_ *)
% 8.45/8.71 assert (zenon_L136_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ae zenon_H35 zenon_Ha3.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.45/8.71 apply (zenon_L124_); trivial.
% 8.45/8.71 (* end of lemma zenon_L136_ *)
% 8.45/8.71 assert (zenon_L137_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1b2 zenon_H127 zenon_H1d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H30. zenon_intro zenon_H1b3.
% 8.45/8.71 apply (zenon_L73_); trivial.
% 8.45/8.71 (* end of lemma zenon_L137_ *)
% 8.45/8.71 assert (zenon_L138_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1b4 zenon_Heb zenon_H98.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H30. zenon_intro zenon_H1b5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H14e. zenon_intro zenon_H1b6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.45/8.71 apply (zenon_L53_); trivial.
% 8.45/8.71 (* end of lemma zenon_L138_ *)
% 8.45/8.71 assert (zenon_L139_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1b7 zenon_H1d zenon_H1f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H73. zenon_intro zenon_H1b8.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H6b. zenon_intro zenon_H177.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.45/8.71 apply (zenon_L1_); trivial.
% 8.45/8.71 (* end of lemma zenon_L139_ *)
% 8.45/8.71 assert (zenon_L140_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (~((e0) = (e1))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1b9 zenon_H67.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H73. zenon_intro zenon_H1ba.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H6b. zenon_intro zenon_H17a.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.45/8.71 apply (zenon_L77_); trivial.
% 8.45/8.71 (* end of lemma zenon_L140_ *)
% 8.45/8.71 assert (zenon_L141_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1bb zenon_H35 zenon_Hb4.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H73. zenon_intro zenon_H1bc.
% 8.45/8.71 apply (zenon_L119_); trivial.
% 8.45/8.71 (* end of lemma zenon_L141_ *)
% 8.45/8.71 assert (zenon_L142_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1bd zenon_H127 zenon_H1d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H73. zenon_intro zenon_H1be.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6b. zenon_intro zenon_H180.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.45/8.71 apply (zenon_L73_); trivial.
% 8.45/8.71 (* end of lemma zenon_L142_ *)
% 8.45/8.71 assert (zenon_L143_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1bf zenon_H35 zenon_Hb4.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H2a. zenon_intro zenon_H1c0.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H2a. zenon_intro zenon_H183.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.45/8.71 apply (zenon_L119_); trivial.
% 8.45/8.71 (* end of lemma zenon_L143_ *)
% 8.45/8.71 assert (zenon_L144_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c1 zenon_H35 zenon_H36.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H2a. zenon_intro zenon_H1c2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H2a. zenon_intro zenon_H186.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.45/8.71 apply (zenon_L5_); trivial.
% 8.45/8.71 (* end of lemma zenon_L144_ *)
% 8.45/8.71 assert (zenon_L145_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c3 zenon_H2b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H2a. zenon_intro zenon_H1c4.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H2a. zenon_intro zenon_H189.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.45/8.71 apply (zenon_L3_); trivial.
% 8.45/8.71 (* end of lemma zenon_L145_ *)
% 8.45/8.71 assert (zenon_L146_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c3 zenon_H2b.
% 8.45/8.71 apply (zenon_L145_); trivial.
% 8.45/8.71 (* end of lemma zenon_L146_ *)
% 8.45/8.71 assert (zenon_L147_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c5 zenon_H36.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H2a. zenon_intro zenon_H1c6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H2a. zenon_intro zenon_H1c7.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.45/8.71 apply (zenon_L5_); trivial.
% 8.45/8.71 (* end of lemma zenon_L147_ *)
% 8.45/8.71 assert (zenon_L148_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c8 zenon_H118.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.45/8.71 apply (zenon_L70_); trivial.
% 8.45/8.71 (* end of lemma zenon_L148_ *)
% 8.45/8.71 assert (zenon_L149_ : (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H7d zenon_H191 zenon_H15a.
% 8.45/8.71 cut (((op (e2) (e1)) = (e2)) = ((e1) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H7d.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H191.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H15f zenon_H15a).
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L149_ *)
% 8.45/8.71 assert (zenon_L150_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ca zenon_H7d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H29. zenon_intro zenon_H1cb.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H15a. zenon_intro zenon_H1a2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.45/8.71 apply (zenon_L149_); trivial.
% 8.45/8.71 (* end of lemma zenon_L150_ *)
% 8.45/8.71 assert (zenon_L151_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ca zenon_H7d.
% 8.45/8.71 apply (zenon_L150_); trivial.
% 8.45/8.71 (* end of lemma zenon_L151_ *)
% 8.45/8.71 assert (zenon_L152_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1cc zenon_Hc8 zenon_H173.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H29. zenon_intro zenon_H1cd.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H15a. zenon_intro zenon_H1a5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.45/8.71 apply (zenon_L112_); trivial.
% 8.45/8.71 (* end of lemma zenon_L152_ *)
% 8.45/8.71 assert (zenon_L153_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ce zenon_Hc8 zenon_H12b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H29. zenon_intro zenon_H1cf.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H15a. zenon_intro zenon_H1a8.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.45/8.71 apply (zenon_L75_); trivial.
% 8.45/8.71 (* end of lemma zenon_L153_ *)
% 8.45/8.71 assert (zenon_L154_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H17e zenon_Hc2 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H1e. zenon_intro zenon_H17f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H1e. zenon_intro zenon_H180.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.45/8.71 apply (zenon_L133_); trivial.
% 8.45/8.71 (* end of lemma zenon_L154_ *)
% 8.45/8.71 assert (zenon_L155_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H181 zenon_H29 zenon_Hab.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H1d. zenon_intro zenon_H182.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hac. zenon_intro zenon_H183.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.45/8.71 apply (zenon_L93_); trivial.
% 8.45/8.71 (* end of lemma zenon_L155_ *)
% 8.45/8.71 assert (zenon_L156_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H184 zenon_H29 zenon_H2b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H1d. zenon_intro zenon_H185.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Hac. zenon_intro zenon_H186.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.45/8.71 apply (zenon_L3_); trivial.
% 8.45/8.71 (* end of lemma zenon_L156_ *)
% 8.45/8.71 assert (zenon_L157_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H15a zenon_Hc9 zenon_H192.
% 8.45/8.71 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H193 | zenon_intro zenon_H16a ].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H192.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H193.
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e0)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H194.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H15a.
% 8.45/8.71 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 apply zenon_H1d0. apply sym_equal. exact zenon_Hc9.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L157_ *)
% 8.45/8.71 assert (zenon_L158_ : (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Ha3 zenon_H1a9 zenon_Hf0.
% 8.45/8.71 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Ha3.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1a9.
% 8.45/8.71 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.71 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H14f zenon_Hf0).
% 8.45/8.71 apply zenon_H58. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L158_ *)
% 8.45/8.71 assert (zenon_L159_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1d1 zenon_H129 zenon_H29.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d. zenon_intro zenon_H1d2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_Hac. zenon_intro zenon_H1c7.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.45/8.71 apply (zenon_L74_); trivial.
% 8.45/8.71 (* end of lemma zenon_L159_ *)
% 8.45/8.71 assert (zenon_L160_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H19d zenon_H3c zenon_H12b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H24. zenon_intro zenon_H19e.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H143. zenon_intro zenon_H19f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.45/8.71 apply (zenon_L75_); trivial.
% 8.45/8.71 (* end of lemma zenon_L160_ *)
% 8.45/8.71 assert (zenon_L161_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H29 zenon_H93 zenon_H7d.
% 8.45/8.71 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.45/8.71 cut (((e2) = (e2)) = ((e1) = (e2))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H7d.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H79.
% 8.45/8.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.45/8.71 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e1) (e2)) = (e1)) = ((e2) = (e1))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hce.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H29.
% 8.45/8.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.45/8.71 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H159 zenon_H93).
% 8.45/8.71 apply zenon_H40. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 apply zenon_H4b. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L161_ *)
% 8.45/8.71 assert (zenon_L162_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1a0 zenon_H29 zenon_H7d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.45/8.71 apply (zenon_L161_); trivial.
% 8.45/8.71 (* end of lemma zenon_L162_ *)
% 8.45/8.71 assert (zenon_L163_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1a3 zenon_H3a zenon_H3c.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H24. zenon_intro zenon_H1a4.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H143. zenon_intro zenon_H1a5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.45/8.71 apply (zenon_L6_); trivial.
% 8.45/8.71 (* end of lemma zenon_L163_ *)
% 8.45/8.71 assert (zenon_L164_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1a6 zenon_H1d zenon_H124.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H24. zenon_intro zenon_H1a7.
% 8.45/8.71 apply (zenon_L72_); trivial.
% 8.45/8.71 (* end of lemma zenon_L164_ *)
% 8.45/8.71 assert (zenon_L165_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1d3 zenon_H1a9 zenon_H1b1.
% 8.45/8.71 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H1d3.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1a9.
% 8.45/8.71 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 8.45/8.71 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H172. apply refl_equal.
% 8.45/8.71 apply zenon_H1d4. apply sym_equal. exact zenon_H1b1.
% 8.45/8.71 (* end of lemma zenon_L165_ *)
% 8.45/8.71 assert (zenon_L166_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ae zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L166_ *)
% 8.45/8.71 assert (zenon_L167_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H170 zenon_H1a9 zenon_H98.
% 8.45/8.71 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H170.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1a9.
% 8.45/8.71 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 8.45/8.71 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H172. apply refl_equal.
% 8.45/8.71 apply zenon_H1d5. apply sym_equal. exact zenon_H98.
% 8.45/8.71 (* end of lemma zenon_L167_ *)
% 8.45/8.71 assert (zenon_L168_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1b2 zenon_H170 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H30. zenon_intro zenon_H1b3.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H14e. zenon_intro zenon_H1d6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.45/8.71 apply (zenon_L167_); trivial.
% 8.45/8.71 (* end of lemma zenon_L168_ *)
% 8.45/8.71 assert (zenon_L169_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1d7 zenon_H1a9 zenon_H5a.
% 8.45/8.71 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H1d7.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1a9.
% 8.45/8.71 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 8.45/8.71 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H172. apply refl_equal.
% 8.45/8.71 apply zenon_Hec. apply sym_equal. exact zenon_H5a.
% 8.45/8.71 (* end of lemma zenon_L169_ *)
% 8.45/8.71 assert (zenon_L170_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1b4 zenon_H1d7 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H30. zenon_intro zenon_H1b5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H14e. zenon_intro zenon_H1b6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.45/8.71 apply (zenon_L169_); trivial.
% 8.45/8.71 (* end of lemma zenon_L170_ *)
% 8.45/8.71 assert (zenon_L171_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1b7 zenon_H29 zenon_Hab.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H73. zenon_intro zenon_H1b8.
% 8.45/8.71 apply (zenon_L93_); trivial.
% 8.45/8.71 (* end of lemma zenon_L171_ *)
% 8.45/8.71 assert (zenon_L172_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1b9 zenon_H29 zenon_Hab.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H73. zenon_intro zenon_H1ba.
% 8.45/8.71 apply (zenon_L93_); trivial.
% 8.45/8.71 (* end of lemma zenon_L172_ *)
% 8.45/8.71 assert (zenon_L173_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1bb zenon_H29 zenon_Hab.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H73. zenon_intro zenon_H1bc.
% 8.45/8.71 apply (zenon_L93_); trivial.
% 8.45/8.71 (* end of lemma zenon_L173_ *)
% 8.45/8.71 assert (zenon_L174_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1bd zenon_Hc2 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H73. zenon_intro zenon_H1be.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6b. zenon_intro zenon_H180.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.45/8.71 apply (zenon_L133_); trivial.
% 8.45/8.71 (* end of lemma zenon_L174_ *)
% 8.45/8.71 assert (zenon_L175_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1bf zenon_H29 zenon_H2b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H2a. zenon_intro zenon_H1c0.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H2a. zenon_intro zenon_H183.
% 8.45/8.71 apply (zenon_L3_); trivial.
% 8.45/8.71 (* end of lemma zenon_L175_ *)
% 8.45/8.71 assert (zenon_L176_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c1 zenon_H29 zenon_H2b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H2a. zenon_intro zenon_H1c2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H2a. zenon_intro zenon_H186.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.45/8.71 apply (zenon_L3_); trivial.
% 8.45/8.71 (* end of lemma zenon_L176_ *)
% 8.45/8.71 assert (zenon_L177_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c5 zenon_H129 zenon_H29.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H2a. zenon_intro zenon_H1c6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H2a. zenon_intro zenon_H1c7.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.45/8.71 apply (zenon_L74_); trivial.
% 8.45/8.71 (* end of lemma zenon_L177_ *)
% 8.45/8.71 assert (zenon_L178_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c8 zenon_H3c zenon_H12b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.45/8.71 apply (zenon_L75_); trivial.
% 8.45/8.71 (* end of lemma zenon_L178_ *)
% 8.45/8.71 assert (zenon_L179_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1cc zenon_H3a zenon_H3c.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H29. zenon_intro zenon_H1cd.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H15a. zenon_intro zenon_H1a5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.45/8.71 apply (zenon_L6_); trivial.
% 8.45/8.71 (* end of lemma zenon_L179_ *)
% 8.45/8.71 assert (zenon_L180_ : ((op (e3) (e2)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_Hbd zenon_H1d8 zenon_H1d9.
% 8.45/8.71 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 8.45/8.71 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H1d9.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H9b.
% 8.45/8.71 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.45/8.71 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H1da.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Hbd.
% 8.45/8.71 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 8.45/8.71 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H9c. apply refl_equal.
% 8.45/8.71 apply zenon_H1db. apply sym_equal. exact zenon_H1d8.
% 8.45/8.71 apply zenon_H9c. apply refl_equal.
% 8.45/8.71 apply zenon_H9c. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L180_ *)
% 8.45/8.71 assert (zenon_L181_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1dc zenon_H1d zenon_H1dd zenon_H15a zenon_H169 zenon_H1d9 zenon_Hbd zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 8.45/8.71 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H1dd.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H1d.
% 8.45/8.71 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 8.45/8.71 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H21. apply refl_equal.
% 8.45/8.71 apply zenon_H1e0. apply sym_equal. exact zenon_H1df.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1e1 ].
% 8.45/8.71 apply (zenon_L103_); trivial.
% 8.45/8.71 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1b1 ].
% 8.45/8.71 apply (zenon_L180_); trivial.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L181_ *)
% 8.45/8.71 assert (zenon_L182_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1e2 zenon_H129 zenon_H29.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H35. zenon_intro zenon_H1e3.
% 8.45/8.71 apply (zenon_L74_); trivial.
% 8.45/8.71 (* end of lemma zenon_L182_ *)
% 8.45/8.71 assert (zenon_L183_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1e4 zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H35. zenon_intro zenon_H1e5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hf4. zenon_intro zenon_H1b0.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L183_ *)
% 8.45/8.71 assert (zenon_L184_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1e6 zenon_H170 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H35. zenon_intro zenon_H1e7.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Hf4. zenon_intro zenon_H1d6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.45/8.71 apply (zenon_L167_); trivial.
% 8.45/8.71 (* end of lemma zenon_L184_ *)
% 8.45/8.71 assert (zenon_L185_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1e8 zenon_H1d7 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H35. zenon_intro zenon_H1e9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Hf4. zenon_intro zenon_H1b6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.45/8.71 apply (zenon_L169_); trivial.
% 8.45/8.71 (* end of lemma zenon_L185_ *)
% 8.45/8.71 assert (zenon_L186_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ea zenon_H1d zenon_H1f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Hc8. zenon_intro zenon_H1eb.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H7e. zenon_intro zenon_H177.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.45/8.71 apply (zenon_L1_); trivial.
% 8.45/8.71 (* end of lemma zenon_L186_ *)
% 8.45/8.71 assert (zenon_L187_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ec zenon_H3c zenon_H12b.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_Hc8. zenon_intro zenon_H1ed.
% 8.45/8.71 apply (zenon_L75_); trivial.
% 8.45/8.71 (* end of lemma zenon_L187_ *)
% 8.45/8.71 assert (zenon_L188_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (~((e0) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ee zenon_H78.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc8. zenon_intro zenon_H1ef.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H7e. zenon_intro zenon_H17d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.45/8.71 apply (zenon_L128_); trivial.
% 8.45/8.71 (* end of lemma zenon_L188_ *)
% 8.45/8.71 assert (zenon_L189_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1f0 zenon_Hc2 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Hc8. zenon_intro zenon_H1f1.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H7e. zenon_intro zenon_H180.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.45/8.71 apply (zenon_L133_); trivial.
% 8.45/8.71 (* end of lemma zenon_L189_ *)
% 8.45/8.71 assert (zenon_L190_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1f2 zenon_H29 zenon_H7d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.45/8.71 apply (zenon_L161_); trivial.
% 8.45/8.71 (* end of lemma zenon_L190_ *)
% 8.45/8.71 assert (zenon_L191_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H197 zenon_H191 zenon_H3c.
% 8.45/8.71 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H197.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H191.
% 8.45/8.71 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 apply zenon_H3d. apply sym_equal. exact zenon_H3c.
% 8.45/8.71 (* end of lemma zenon_L191_ *)
% 8.45/8.71 assert (zenon_L192_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1f4 zenon_H197 zenon_H3c.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H191. zenon_intro zenon_H1f5.
% 8.45/8.71 apply (zenon_L191_); trivial.
% 8.45/8.71 (* end of lemma zenon_L192_ *)
% 8.45/8.71 assert (zenon_L193_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H175 zenon_H30 zenon_H31.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H1e. zenon_intro zenon_H176.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1e. zenon_intro zenon_H177.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.45/8.71 apply (zenon_L4_); trivial.
% 8.45/8.71 (* end of lemma zenon_L193_ *)
% 8.45/8.71 assert (zenon_L194_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H178 zenon_H30 zenon_H31.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H1e. zenon_intro zenon_H179.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H1e. zenon_intro zenon_H17a.
% 8.45/8.71 apply (zenon_L4_); trivial.
% 8.45/8.71 (* end of lemma zenon_L194_ *)
% 8.45/8.71 assert (zenon_L195_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H17b zenon_H30 zenon_H31.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H1e. zenon_intro zenon_H17c.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1e. zenon_intro zenon_H17d.
% 8.45/8.71 apply (zenon_L4_); trivial.
% 8.45/8.71 (* end of lemma zenon_L195_ *)
% 8.45/8.71 assert (zenon_L196_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H187 zenon_H7d zenon_H191.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Hac. zenon_intro zenon_H189.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.45/8.71 apply (zenon_L149_); trivial.
% 8.45/8.71 (* end of lemma zenon_L196_ *)
% 8.45/8.71 assert (zenon_L197_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H19d zenon_H191 zenon_H192.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H24. zenon_intro zenon_H19e.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H143. zenon_intro zenon_H19f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.45/8.71 apply (zenon_L125_); trivial.
% 8.45/8.71 (* end of lemma zenon_L197_ *)
% 8.45/8.71 assert (zenon_L198_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1f6 zenon_H191 zenon_H3b.
% 8.45/8.71 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H1f6.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H191.
% 8.45/8.71 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 8.45/8.71 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.45/8.71 congruence.
% 8.45/8.71 apply zenon_H16a. apply refl_equal.
% 8.45/8.71 apply zenon_H1f7. apply sym_equal. exact zenon_H3b.
% 8.45/8.71 (* end of lemma zenon_L198_ *)
% 8.45/8.71 assert (zenon_L199_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1a3 zenon_H1f6 zenon_H191.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H24. zenon_intro zenon_H1a4.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H143. zenon_intro zenon_H1a5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.45/8.71 apply (zenon_L198_); trivial.
% 8.45/8.71 (* end of lemma zenon_L199_ *)
% 8.45/8.71 assert (zenon_L200_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1a6 zenon_H197 zenon_H191.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H24. zenon_intro zenon_H1a7.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H143. zenon_intro zenon_H1a8.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.45/8.71 apply (zenon_L191_); trivial.
% 8.45/8.71 (* end of lemma zenon_L200_ *)
% 8.45/8.71 assert (zenon_L201_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H30 zenon_H103 zenon_Hc2.
% 8.45/8.71 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.45/8.71 cut (((e3) = (e3)) = ((e0) = (e3))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_Hc2.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_Ha4.
% 8.45/8.71 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.45/8.71 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 8.45/8.71 congruence.
% 8.45/8.71 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))).
% 8.45/8.71 intro zenon_D_pnotp.
% 8.45/8.71 apply zenon_H1f8.
% 8.45/8.71 rewrite <- zenon_D_pnotp.
% 8.45/8.71 exact zenon_H30.
% 8.45/8.71 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.45/8.71 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 8.45/8.71 congruence.
% 8.45/8.71 exact (zenon_H18f zenon_H103).
% 8.45/8.71 apply zenon_H3f. apply refl_equal.
% 8.45/8.71 apply zenon_H58. apply refl_equal.
% 8.45/8.71 apply zenon_H58. apply refl_equal.
% 8.45/8.71 (* end of lemma zenon_L201_ *)
% 8.45/8.71 assert (zenon_L202_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ab zenon_Hc2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H30. zenon_intro zenon_H1ac.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H14e. zenon_intro zenon_H1ad.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.45/8.71 apply (zenon_L201_); trivial.
% 8.45/8.71 (* end of lemma zenon_L202_ *)
% 8.45/8.71 assert (zenon_L203_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c3 zenon_H7d zenon_H191.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H2a. zenon_intro zenon_H1c4.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H2a. zenon_intro zenon_H189.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.45/8.71 apply (zenon_L149_); trivial.
% 8.45/8.71 (* end of lemma zenon_L203_ *)
% 8.45/8.71 assert (zenon_L204_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1c8 zenon_H191 zenon_H192.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.45/8.71 apply (zenon_L125_); trivial.
% 8.45/8.71 (* end of lemma zenon_L204_ *)
% 8.45/8.71 assert (zenon_L205_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ca zenon_H7d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H29. zenon_intro zenon_H1cb.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H15a. zenon_intro zenon_H1a2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.45/8.71 apply (zenon_L161_); trivial.
% 8.45/8.71 (* end of lemma zenon_L205_ *)
% 8.45/8.71 assert (zenon_L206_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1cc zenon_H1f6 zenon_H191.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H29. zenon_intro zenon_H1cd.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H15a. zenon_intro zenon_H1a5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.45/8.71 apply (zenon_L198_); trivial.
% 8.45/8.71 (* end of lemma zenon_L206_ *)
% 8.45/8.71 assert (zenon_L207_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ce zenon_H197 zenon_H191.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H29. zenon_intro zenon_H1cf.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H15a. zenon_intro zenon_H1a8.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.45/8.71 apply (zenon_L191_); trivial.
% 8.45/8.71 (* end of lemma zenon_L207_ *)
% 8.45/8.71 assert (zenon_L208_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1e2 zenon_H30 zenon_Hc2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H35. zenon_intro zenon_H1e3.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_Hf4. zenon_intro zenon_H1ad.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.45/8.71 apply (zenon_L201_); trivial.
% 8.45/8.71 (* end of lemma zenon_L208_ *)
% 8.45/8.71 assert (zenon_L209_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ea zenon_H191 zenon_H192.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Hc8. zenon_intro zenon_H1eb.
% 8.45/8.71 apply (zenon_L125_); trivial.
% 8.45/8.71 (* end of lemma zenon_L209_ *)
% 8.45/8.71 assert (zenon_L210_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ec zenon_H191 zenon_H192.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_Hc8. zenon_intro zenon_H1ed.
% 8.45/8.71 apply (zenon_L125_); trivial.
% 8.45/8.71 (* end of lemma zenon_L210_ *)
% 8.45/8.71 assert (zenon_L211_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ee zenon_H191 zenon_H192.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc8. zenon_intro zenon_H1ef.
% 8.45/8.71 apply (zenon_L125_); trivial.
% 8.45/8.71 (* end of lemma zenon_L211_ *)
% 8.45/8.71 assert (zenon_L212_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1f4 zenon_H29 zenon_H7d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H191. zenon_intro zenon_H1f5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H93. zenon_intro zenon_H186.
% 8.45/8.71 apply (zenon_L161_); trivial.
% 8.45/8.71 (* end of lemma zenon_L212_ *)
% 8.45/8.71 assert (zenon_L213_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((e1) = (e2))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1f9 zenon_H7d.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H191. zenon_intro zenon_H1fa.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H93. zenon_intro zenon_H189.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.45/8.71 apply (zenon_L149_); trivial.
% 8.45/8.71 (* end of lemma zenon_L213_ *)
% 8.45/8.71 assert (zenon_L214_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1fb zenon_H129 zenon_H29.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H191. zenon_intro zenon_H1fc.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H93. zenon_intro zenon_H1c7.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.45/8.71 apply (zenon_L74_); trivial.
% 8.45/8.71 (* end of lemma zenon_L214_ *)
% 8.45/8.71 assert (zenon_L215_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1fd zenon_H191 zenon_H192.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H3b. zenon_intro zenon_H1fe.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H3b. zenon_intro zenon_H19f.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.45/8.71 apply (zenon_L125_); trivial.
% 8.45/8.71 (* end of lemma zenon_L215_ *)
% 8.45/8.71 assert (zenon_L216_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H1ff zenon_H1f6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H3b. zenon_intro zenon_H200.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H3b. zenon_intro zenon_H1a2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.45/8.71 apply (zenon_L198_); trivial.
% 8.45/8.71 (* end of lemma zenon_L216_ *)
% 8.45/8.71 assert (zenon_L217_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H201 zenon_H1f6 zenon_H191.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H3b. zenon_intro zenon_H202.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H3b. zenon_intro zenon_H1a5.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.45/8.71 apply (zenon_L198_); trivial.
% 8.45/8.71 (* end of lemma zenon_L217_ *)
% 8.45/8.71 assert (zenon_L218_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H203 zenon_H197 zenon_H191.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H3b. zenon_intro zenon_H204.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H3b. zenon_intro zenon_H1a8.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.45/8.71 apply (zenon_L191_); trivial.
% 8.45/8.71 (* end of lemma zenon_L218_ *)
% 8.45/8.71 assert (zenon_L219_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H205 zenon_H30 zenon_Hc2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Hbd. zenon_intro zenon_H1ad.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.45/8.71 apply (zenon_L201_); trivial.
% 8.45/8.71 (* end of lemma zenon_L219_ *)
% 8.45/8.71 assert (zenon_L220_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H207 zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H3c. zenon_intro zenon_H208.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Hbd. zenon_intro zenon_H1b0.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L220_ *)
% 8.45/8.71 assert (zenon_L221_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H209 zenon_H170 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H3c. zenon_intro zenon_H20a.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_Hbd. zenon_intro zenon_H1d6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.45/8.71 apply (zenon_L167_); trivial.
% 8.45/8.71 (* end of lemma zenon_L221_ *)
% 8.45/8.71 assert (zenon_L222_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H20b zenon_H1d7 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H3c. zenon_intro zenon_H20c.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_Hbd. zenon_intro zenon_H1b6.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.45/8.71 apply (zenon_L169_); trivial.
% 8.45/8.71 (* end of lemma zenon_L222_ *)
% 8.45/8.71 assert (zenon_L223_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H20d zenon_H30 zenon_Hc2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1a9. zenon_intro zenon_H20e.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H103. zenon_intro zenon_H177.
% 8.45/8.71 apply (zenon_L201_); trivial.
% 8.45/8.71 (* end of lemma zenon_L223_ *)
% 8.45/8.71 assert (zenon_L224_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H20f zenon_H30 zenon_Hc2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H1a9. zenon_intro zenon_H210.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H103. zenon_intro zenon_H17a.
% 8.45/8.71 apply (zenon_L201_); trivial.
% 8.45/8.71 (* end of lemma zenon_L224_ *)
% 8.45/8.71 assert (zenon_L225_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H211 zenon_H30 zenon_Hc2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1a9. zenon_intro zenon_H212.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H103. zenon_intro zenon_H17d.
% 8.45/8.71 apply (zenon_L201_); trivial.
% 8.45/8.71 (* end of lemma zenon_L225_ *)
% 8.45/8.71 assert (zenon_L226_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H213 zenon_Hc2.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1a9. zenon_intro zenon_H214.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H103. zenon_intro zenon_H180.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.45/8.71 apply (zenon_L133_); trivial.
% 8.45/8.71 (* end of lemma zenon_L226_ *)
% 8.45/8.71 assert (zenon_L227_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H215 zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L227_ *)
% 8.45/8.71 assert (zenon_L228_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H217 zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1b1. zenon_intro zenon_H218.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L228_ *)
% 8.45/8.71 assert (zenon_L229_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H219 zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H1b1. zenon_intro zenon_H21a.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L229_ *)
% 8.45/8.71 assert (zenon_L230_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H21b zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1b1. zenon_intro zenon_H21c.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L230_ *)
% 8.45/8.71 assert (zenon_L231_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H21d zenon_H170 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H98. zenon_intro zenon_H21e.
% 8.45/8.71 apply (zenon_L167_); trivial.
% 8.45/8.71 (* end of lemma zenon_L231_ *)
% 8.45/8.71 assert (zenon_L232_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H21f zenon_H170 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H98. zenon_intro zenon_H220.
% 8.45/8.71 apply (zenon_L167_); trivial.
% 8.45/8.71 (* end of lemma zenon_L232_ *)
% 8.45/8.71 assert (zenon_L233_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H221 zenon_H170 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H98. zenon_intro zenon_H222.
% 8.45/8.71 apply (zenon_L167_); trivial.
% 8.45/8.71 (* end of lemma zenon_L233_ *)
% 8.45/8.71 assert (zenon_L234_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H223 zenon_H170 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H98. zenon_intro zenon_H224.
% 8.45/8.71 apply (zenon_L167_); trivial.
% 8.45/8.71 (* end of lemma zenon_L234_ *)
% 8.45/8.71 assert (zenon_L235_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H225 zenon_H1d7.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H5a. zenon_intro zenon_H226.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H5a. zenon_intro zenon_H1ad.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.45/8.71 apply (zenon_L169_); trivial.
% 8.45/8.71 (* end of lemma zenon_L235_ *)
% 8.45/8.71 assert (zenon_L236_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H227 zenon_H1d3 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H5a. zenon_intro zenon_H228.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H5a. zenon_intro zenon_H1b0.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.45/8.71 apply (zenon_L165_); trivial.
% 8.45/8.71 (* end of lemma zenon_L236_ *)
% 8.45/8.71 assert (zenon_L237_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.45/8.71 do 0 intro. intros zenon_H229 zenon_H170 zenon_H1a9.
% 8.45/8.71 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H5a. zenon_intro zenon_H22a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H5a. zenon_intro zenon_H1d6.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.72 apply (zenon_L167_); trivial.
% 8.54/8.72 (* end of lemma zenon_L237_ *)
% 8.54/8.72 assert (zenon_L238_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H22b zenon_H1d7 zenon_H1a9.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H5a. zenon_intro zenon_H22c.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H5a. zenon_intro zenon_H1b6.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.54/8.72 apply (zenon_L169_); trivial.
% 8.54/8.72 (* end of lemma zenon_L238_ *)
% 8.54/8.72 assert (zenon_L239_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H22d zenon_H170 zenon_H1d3 zenon_Hc2 zenon_H1f6 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H29 zenon_H129 zenon_H191 zenon_H197 zenon_H1d7 zenon_H1a9.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.72 apply (zenon_L193_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.72 apply (zenon_L194_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.72 apply (zenon_L195_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.72 apply (zenon_L154_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.72 apply (zenon_L155_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.72 apply (zenon_L156_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.72 apply (zenon_L196_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.72 apply (zenon_L159_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.72 apply (zenon_L197_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.72 apply (zenon_L162_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.72 apply (zenon_L199_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.72 apply (zenon_L200_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.72 apply (zenon_L202_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.72 apply (zenon_L166_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.72 apply (zenon_L168_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.72 apply (zenon_L170_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.72 apply (zenon_L171_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.72 apply (zenon_L172_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.72 apply (zenon_L173_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.72 apply (zenon_L174_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.72 apply (zenon_L175_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.72 apply (zenon_L176_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.72 apply (zenon_L203_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.72 apply (zenon_L177_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.72 apply (zenon_L204_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.72 apply (zenon_L205_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.72 apply (zenon_L206_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.72 apply (zenon_L207_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.72 apply (zenon_L208_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.72 apply (zenon_L183_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.72 apply (zenon_L184_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.72 apply (zenon_L185_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.72 apply (zenon_L209_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.72 apply (zenon_L210_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.72 apply (zenon_L211_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.72 apply (zenon_L189_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.72 apply (zenon_L190_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.72 apply (zenon_L212_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.72 apply (zenon_L213_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.72 apply (zenon_L214_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.72 apply (zenon_L215_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.72 apply (zenon_L216_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.72 apply (zenon_L217_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.72 apply (zenon_L218_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.72 apply (zenon_L219_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.72 apply (zenon_L220_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.72 apply (zenon_L221_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.72 apply (zenon_L222_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.72 apply (zenon_L223_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.72 apply (zenon_L224_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.72 apply (zenon_L225_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.72 apply (zenon_L226_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.72 apply (zenon_L227_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.72 apply (zenon_L228_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.72 apply (zenon_L229_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.72 apply (zenon_L230_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.72 apply (zenon_L231_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.72 apply (zenon_L232_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.72 apply (zenon_L233_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.72 apply (zenon_L234_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.72 apply (zenon_L235_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.72 apply (zenon_L236_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.72 apply (zenon_L237_); trivial.
% 8.54/8.72 apply (zenon_L238_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.72 apply (zenon_L74_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.72 apply (zenon_L191_); trivial.
% 8.54/8.72 apply (zenon_L169_); trivial.
% 8.54/8.72 (* end of lemma zenon_L239_ *)
% 8.54/8.72 assert (zenon_L240_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1f9 zenon_H22d zenon_H170 zenon_H1d3 zenon_Hc2 zenon_H1f6 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H1a9.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H191. zenon_intro zenon_H1fa.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H93. zenon_intro zenon_H189.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.72 apply (zenon_L239_); trivial.
% 8.54/8.72 (* end of lemma zenon_L240_ *)
% 8.54/8.72 assert (zenon_L241_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1fd zenon_H173.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H3b. zenon_intro zenon_H1fe.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H3b. zenon_intro zenon_H19f.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.54/8.72 apply (zenon_L112_); trivial.
% 8.54/8.72 (* end of lemma zenon_L241_ *)
% 8.54/8.72 assert (zenon_L242_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1ff zenon_H1f6.
% 8.54/8.72 apply (zenon_L216_); trivial.
% 8.54/8.72 (* end of lemma zenon_L242_ *)
% 8.54/8.72 assert (zenon_L243_ : ((op (e3) (e0)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1a9 zenon_H26f zenon_H270.
% 8.54/8.72 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H172 ].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H270.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H271.
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e0) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H272.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H1a9.
% 8.54/8.72 cut (((e3) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H273].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 apply zenon_H273. apply sym_equal. exact zenon_H26f.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L243_ *)
% 8.54/8.72 assert (zenon_L244_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1d zenon_H274 zenon_Hc2.
% 8.54/8.72 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.72 cut (((e3) = (e3)) = ((e0) = (e3))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_Hc2.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_Ha4.
% 8.54/8.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.72 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H1f8.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H1d.
% 8.54/8.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.72 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H275].
% 8.54/8.72 congruence.
% 8.54/8.72 exact (zenon_H275 zenon_H274).
% 8.54/8.72 apply zenon_H3f. apply refl_equal.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L244_ *)
% 8.54/8.72 assert (zenon_L245_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H71 zenon_H276 zenon_Ha3.
% 8.54/8.72 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.72 cut (((e3) = (e3)) = ((e1) = (e3))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_Ha3.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_Ha4.
% 8.54/8.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.72 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_Ha5.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H71.
% 8.54/8.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.72 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H277].
% 8.54/8.72 congruence.
% 8.54/8.72 exact (zenon_H277 zenon_H276).
% 8.54/8.72 apply zenon_H40. apply refl_equal.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L245_ *)
% 8.54/8.72 assert (zenon_L246_ : ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H35 zenon_Hd6 zenon_Hd0.
% 8.54/8.72 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 8.54/8.72 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_Hd0.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H37.
% 8.54/8.72 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.54/8.72 cut (((op (e1) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e0) (e3)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H278.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H35.
% 8.54/8.72 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 8.54/8.72 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H38. apply refl_equal.
% 8.54/8.72 apply zenon_H279. apply sym_equal. exact zenon_Hd6.
% 8.54/8.72 apply zenon_H38. apply refl_equal.
% 8.54/8.72 apply zenon_H38. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L246_ *)
% 8.54/8.72 assert (zenon_L247_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H41 zenon_H35 zenon_Ha2.
% 8.54/8.72 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H41.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H35.
% 8.54/8.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.72 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 8.54/8.72 congruence.
% 8.54/8.72 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 8.54/8.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H27a.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H43.
% 8.54/8.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 8.54/8.72 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H27b].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 8.54/8.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H40. apply refl_equal.
% 8.54/8.72 exact (zenon_Ha6 zenon_Ha2).
% 8.54/8.72 apply zenon_H44. apply refl_equal.
% 8.54/8.72 apply zenon_H44. apply refl_equal.
% 8.54/8.72 apply zenon_H40. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L247_ *)
% 8.54/8.72 assert (zenon_L248_ : ((op (e2) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H143 zenon_Hac zenon_H145.
% 8.54/8.72 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 8.54/8.72 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H145.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H138.
% 8.54/8.72 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.54/8.72 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e1) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H146.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H143.
% 8.54/8.72 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 8.54/8.72 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H139. apply refl_equal.
% 8.54/8.72 apply zenon_H27c. apply sym_equal. exact zenon_Hac.
% 8.54/8.72 apply zenon_H139. apply refl_equal.
% 8.54/8.72 apply zenon_H139. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L248_ *)
% 8.54/8.72 assert (zenon_L249_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H192 zenon_H143 zenon_H165.
% 8.54/8.72 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H192.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H143.
% 8.54/8.72 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 8.54/8.72 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H139. apply refl_equal.
% 8.54/8.72 apply zenon_H166. apply sym_equal. exact zenon_H165.
% 8.54/8.72 (* end of lemma zenon_L249_ *)
% 8.54/8.72 assert (zenon_L250_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H137 zenon_H66 zenon_Hc9.
% 8.54/8.72 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H137.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H66.
% 8.54/8.72 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 8.54/8.72 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H27d. apply refl_equal.
% 8.54/8.72 apply zenon_H1d0. apply sym_equal. exact zenon_Hc9.
% 8.54/8.72 (* end of lemma zenon_L250_ *)
% 8.54/8.72 assert (zenon_L251_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1a9 zenon_H27e zenon_H27f.
% 8.54/8.72 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H172 ].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H27f.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H271.
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H280].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H280.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H1a9.
% 8.54/8.72 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H281].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 apply zenon_H281. apply sym_equal. exact zenon_H27e.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L251_ *)
% 8.54/8.72 assert (zenon_L252_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H282 zenon_H165 zenon_H192 zenon_H66 zenon_H137 zenon_H173 zenon_H3b zenon_H1a9 zenon_H27f.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H143 | zenon_intro zenon_H283 ].
% 8.54/8.72 apply (zenon_L249_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H284 ].
% 8.54/8.72 apply (zenon_L250_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H27e ].
% 8.54/8.72 apply (zenon_L112_); trivial.
% 8.54/8.72 apply (zenon_L251_); trivial.
% 8.54/8.72 (* end of lemma zenon_L252_ *)
% 8.54/8.72 assert (zenon_L253_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H12b zenon_H143 zenon_H10f.
% 8.54/8.72 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H12b.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H143.
% 8.54/8.72 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 8.54/8.72 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H139. apply refl_equal.
% 8.54/8.72 apply zenon_H14d. apply sym_equal. exact zenon_H10f.
% 8.54/8.72 (* end of lemma zenon_L253_ *)
% 8.54/8.72 assert (zenon_L254_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H282 zenon_H10f zenon_H12b zenon_H66 zenon_H137 zenon_H173 zenon_H3b zenon_H1a9 zenon_H27f.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H143 | zenon_intro zenon_H283 ].
% 8.54/8.72 apply (zenon_L253_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H284 ].
% 8.54/8.72 apply (zenon_L250_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H27e ].
% 8.54/8.72 apply (zenon_L112_); trivial.
% 8.54/8.72 apply (zenon_L251_); trivial.
% 8.54/8.72 (* end of lemma zenon_L254_ *)
% 8.54/8.72 assert (zenon_L255_ : (((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H285 zenon_H145 zenon_Hac zenon_H192 zenon_H78 zenon_H282 zenon_H12b zenon_H66 zenon_H137 zenon_H173 zenon_H3b zenon_H1a9 zenon_H27f.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.54/8.72 apply (zenon_L248_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.54/8.72 apply (zenon_L252_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.54/8.72 apply (zenon_L40_); trivial.
% 8.54/8.72 apply (zenon_L254_); trivial.
% 8.54/8.72 (* end of lemma zenon_L255_ *)
% 8.54/8.72 assert (zenon_L256_ : (~((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e1)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H288 zenon_H66.
% 8.54/8.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.72 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 8.54/8.72 congruence.
% 8.54/8.72 exact (zenon_H6a zenon_H66).
% 8.54/8.72 apply zenon_H3f. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L256_ *)
% 8.54/8.72 assert (zenon_L257_ : ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (op (op (e0) (e0)) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_Hb0 zenon_H66 zenon_H289.
% 8.54/8.72 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e2) = (op (op (e0) (e0)) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H289.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H28a.
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e1) (e0)) = (e2)) = ((op (op (e0) (e0)) (e0)) = (e2))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H28c.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_Hb0.
% 8.54/8.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.72 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 8.54/8.72 congruence.
% 8.54/8.72 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H28d.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H28a.
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 8.54/8.72 congruence.
% 8.54/8.72 apply (zenon_L256_); trivial.
% 8.54/8.72 apply zenon_H28b. apply refl_equal.
% 8.54/8.72 apply zenon_H28b. apply refl_equal.
% 8.54/8.72 apply zenon_H4b. apply refl_equal.
% 8.54/8.72 apply zenon_H28b. apply refl_equal.
% 8.54/8.72 apply zenon_H28b. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L257_ *)
% 8.54/8.72 assert (zenon_L258_ : ((op (e2) (e1)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H196 zenon_Hb0 zenon_H66.
% 8.54/8.72 apply (zenon_notand_s _ _ ax13); [ zenon_intro zenon_H72 | zenon_intro zenon_H28e ].
% 8.54/8.72 apply zenon_H72. apply sym_equal. exact zenon_H66.
% 8.54/8.72 apply (zenon_notand_s _ _ zenon_H28e); [ zenon_intro zenon_H28f | zenon_intro zenon_H289 ].
% 8.54/8.72 elim (classic ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H290 | zenon_intro zenon_H291 ].
% 8.54/8.72 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) = ((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H28f.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H290.
% 8.54/8.72 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 8.54/8.72 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H292].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e2) (e1)) = (e3)) = ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (e3))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H292.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H196.
% 8.54/8.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.72 cut (((op (e2) (e1)) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H293].
% 8.54/8.72 congruence.
% 8.54/8.72 elim (classic ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H290 | zenon_intro zenon_H291 ].
% 8.54/8.72 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) = ((op (e2) (e1)) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H293.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H290.
% 8.54/8.72 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 8.54/8.72 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e1) (e0)) = (e2)) = ((op (op (e0) (e0)) (e0)) = (e2))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H28c.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_Hb0.
% 8.54/8.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.72 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 8.54/8.72 congruence.
% 8.54/8.72 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H28d.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H28a.
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.54/8.72 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 8.54/8.72 congruence.
% 8.54/8.72 apply (zenon_L256_); trivial.
% 8.54/8.72 apply zenon_H28b. apply refl_equal.
% 8.54/8.72 apply zenon_H28b. apply refl_equal.
% 8.54/8.72 apply zenon_H4b. apply refl_equal.
% 8.54/8.72 exact (zenon_H6a zenon_H66).
% 8.54/8.72 apply zenon_H291. apply refl_equal.
% 8.54/8.72 apply zenon_H291. apply refl_equal.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 apply zenon_H291. apply refl_equal.
% 8.54/8.72 apply zenon_H291. apply refl_equal.
% 8.54/8.72 apply (zenon_L257_); trivial.
% 8.54/8.72 (* end of lemma zenon_L258_ *)
% 8.54/8.72 assert (zenon_L259_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1a9 zenon_H87 zenon_H295.
% 8.54/8.72 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H172 ].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H295.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H271.
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H296.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H1a9.
% 8.54/8.72 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 apply zenon_Hb6. apply sym_equal. exact zenon_H87.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 apply zenon_H172. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L259_ *)
% 8.54/8.72 assert (zenon_L260_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_Hb7 zenon_H27f zenon_H3b zenon_H173 zenon_H137 zenon_H12b zenon_H282 zenon_H78 zenon_H192 zenon_H145 zenon_H285 zenon_Hb4 zenon_H35 zenon_H66 zenon_H196 zenon_H1a9 zenon_H295.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hac | zenon_intro zenon_Hb8 ].
% 8.54/8.72 apply (zenon_L255_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb9 ].
% 8.54/8.72 apply (zenon_L119_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H87 ].
% 8.54/8.72 apply (zenon_L258_); trivial.
% 8.54/8.72 apply (zenon_L259_); trivial.
% 8.54/8.72 (* end of lemma zenon_L260_ *)
% 8.54/8.72 assert (zenon_L261_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H143 zenon_Hc9 zenon_H67.
% 8.54/8.72 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H68 | zenon_intro zenon_H40 ].
% 8.54/8.72 cut (((e1) = (e1)) = ((e0) = (e1))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H67.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H68.
% 8.54/8.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.72 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H69.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H143.
% 8.54/8.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.72 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 8.54/8.72 congruence.
% 8.54/8.72 exact (zenon_Hca zenon_Hc9).
% 8.54/8.72 apply zenon_H3f. apply refl_equal.
% 8.54/8.72 apply zenon_H40. apply refl_equal.
% 8.54/8.72 apply zenon_H40. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L261_ *)
% 8.54/8.72 assert (zenon_L262_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H150 zenon_H25 zenon_H71 zenon_Hb4 zenon_H35 zenon_H67 zenon_H143 zenon_Ha3 zenon_H1a9.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.54/8.72 apply (zenon_L19_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.54/8.72 apply (zenon_L119_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.54/8.72 apply (zenon_L261_); trivial.
% 8.54/8.72 apply (zenon_L158_); trivial.
% 8.54/8.72 (* end of lemma zenon_L262_ *)
% 8.54/8.72 assert (zenon_L263_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H67 zenon_H35 zenon_Hd1.
% 8.54/8.72 cut (((op (e1) (e3)) = (e1)) = ((e0) = (e1))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H67.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H35.
% 8.54/8.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.72 cut (((op (e1) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H297].
% 8.54/8.72 congruence.
% 8.54/8.72 exact (zenon_H297 zenon_Hd1).
% 8.54/8.72 apply zenon_H40. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L263_ *)
% 8.54/8.72 assert (zenon_L264_ : (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H59 zenon_H1a9 zenon_Hd4.
% 8.54/8.72 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H59.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H1a9.
% 8.54/8.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.72 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H298].
% 8.54/8.72 congruence.
% 8.54/8.72 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ].
% 8.54/8.72 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H298.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H5c.
% 8.54/8.72 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 8.54/8.72 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H299].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 8.54/8.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 exact (zenon_Hd5 zenon_Hd4).
% 8.54/8.72 apply zenon_H5d. apply refl_equal.
% 8.54/8.72 apply zenon_H5d. apply refl_equal.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L264_ *)
% 8.54/8.72 assert (zenon_L265_ : (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H64 zenon_Hf4.
% 8.54/8.72 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (op (e3) (e1))) = (e1))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H64.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_Hf4.
% 8.54/8.72 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.72 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H29a].
% 8.54/8.72 congruence.
% 8.54/8.72 elim (classic ((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1))))); [ zenon_intro zenon_H29b | zenon_intro zenon_H29c ].
% 8.54/8.72 cut (((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e1))))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H29a.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H29b.
% 8.54/8.72 cut (((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 8.54/8.72 cut (((op (e3) (op (e3) (e1))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H29d].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29e].
% 8.54/8.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 exact (zenon_H29e zenon_Hf4).
% 8.54/8.72 apply zenon_H29c. apply refl_equal.
% 8.54/8.72 apply zenon_H29c. apply refl_equal.
% 8.54/8.72 apply zenon_H40. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L265_ *)
% 8.54/8.72 assert (zenon_L266_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H29f zenon_H71 zenon_Hf6.
% 8.54/8.72 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H29f.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H71.
% 8.54/8.72 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 8.54/8.72 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H27. apply refl_equal.
% 8.54/8.72 apply zenon_H2a0. apply sym_equal. exact zenon_Hf6.
% 8.54/8.72 (* end of lemma zenon_L266_ *)
% 8.54/8.72 assert (zenon_L267_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H16d zenon_H35 zenon_He5.
% 8.54/8.72 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H16d.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H35.
% 8.54/8.72 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 8.54/8.72 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H38. apply refl_equal.
% 8.54/8.72 apply zenon_He6. apply sym_equal. exact zenon_He5.
% 8.54/8.72 (* end of lemma zenon_L267_ *)
% 8.54/8.72 assert (zenon_L268_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_Hf9 zenon_H1a9 zenon_Ha3 zenon_H64 zenon_H71 zenon_H29f zenon_H16d zenon_H35.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.54/8.72 apply (zenon_L158_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.54/8.72 apply (zenon_L265_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.54/8.72 apply (zenon_L266_); trivial.
% 8.54/8.72 apply (zenon_L267_); trivial.
% 8.54/8.72 (* end of lemma zenon_L268_ *)
% 8.54/8.72 assert (zenon_L269_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H22d zenon_Hd0 zenon_Hf9 zenon_Ha3 zenon_H29f zenon_H16d zenon_H1d zenon_H67 zenon_H11f zenon_H127 zenon_H27f zenon_H173 zenon_H137 zenon_H12b zenon_H282 zenon_H2a1 zenon_H2a2 zenon_H1f zenon_H150 zenon_H25 zenon_Hb4 zenon_H2a3 zenon_H295 zenon_H285 zenon_H145 zenon_H192 zenon_H78 zenon_Hb7 zenon_H1d3 zenon_Hc2 zenon_H270 zenon_H2a4 zenon_H2a5 zenon_H3b zenon_H3a zenon_H1d7 zenon_H1a9.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.72 apply (zenon_L73_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.72 apply (zenon_L76_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.72 apply (zenon_L77_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H26f | zenon_intro zenon_H2ad ].
% 8.54/8.72 apply (zenon_L243_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H274 | zenon_intro zenon_H2ae ].
% 8.54/8.72 apply (zenon_L244_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H276 | zenon_intro zenon_H103 ].
% 8.54/8.72 apply (zenon_L245_); trivial.
% 8.54/8.72 apply (zenon_L123_); trivial.
% 8.54/8.72 apply (zenon_L246_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.72 apply (zenon_L1_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.72 apply (zenon_L82_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.54/8.72 apply (zenon_L244_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.54/8.72 apply (zenon_L247_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.54/8.72 apply (zenon_L260_); trivial.
% 8.54/8.72 apply (zenon_L165_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.72 apply (zenon_L77_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.72 apply (zenon_L262_); trivial.
% 8.54/8.72 apply (zenon_L246_); trivial.
% 8.54/8.72 apply (zenon_L133_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.72 apply (zenon_L13_); trivial.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.72 apply (zenon_L73_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.72 apply (zenon_L263_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.72 apply (zenon_L254_); trivial.
% 8.54/8.72 apply (zenon_L264_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.72 apply (zenon_L77_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.72 apply (zenon_L268_); trivial.
% 8.54/8.72 apply (zenon_L246_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.72 apply (zenon_L6_); trivial.
% 8.54/8.72 apply (zenon_L169_); trivial.
% 8.54/8.72 (* end of lemma zenon_L269_ *)
% 8.54/8.72 assert (zenon_L270_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H201 zenon_H22d zenon_Hd0 zenon_Hf9 zenon_Ha3 zenon_H29f zenon_H16d zenon_H1d zenon_H67 zenon_H11f zenon_H127 zenon_H27f zenon_H173 zenon_H137 zenon_H12b zenon_H282 zenon_H2a1 zenon_H2a2 zenon_H1f zenon_H150 zenon_H25 zenon_Hb4 zenon_H2a3 zenon_H295 zenon_H285 zenon_H145 zenon_H192 zenon_H78 zenon_Hb7 zenon_H1d3 zenon_Hc2 zenon_H270 zenon_H2a4 zenon_H2a5 zenon_H3a zenon_H1d7 zenon_H1a9.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H3b. zenon_intro zenon_H202.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H3b. zenon_intro zenon_H1a5.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.54/8.72 apply (zenon_L269_); trivial.
% 8.54/8.72 (* end of lemma zenon_L270_ *)
% 8.54/8.72 assert (zenon_L271_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H203 zenon_H3a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H3b. zenon_intro zenon_H204.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H3b. zenon_intro zenon_H1a8.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.54/8.72 apply (zenon_L6_); trivial.
% 8.54/8.72 (* end of lemma zenon_L271_ *)
% 8.54/8.72 assert (zenon_L272_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H203 zenon_H3a.
% 8.54/8.72 apply (zenon_L271_); trivial.
% 8.54/8.72 (* end of lemma zenon_L272_ *)
% 8.54/8.72 assert (zenon_L273_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H205 zenon_H18a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Hbd. zenon_intro zenon_H1ad.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.54/8.72 apply (zenon_L123_); trivial.
% 8.54/8.72 (* end of lemma zenon_L273_ *)
% 8.54/8.72 assert (zenon_L274_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H20d zenon_H1d zenon_H1f.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1a9. zenon_intro zenon_H20e.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H103. zenon_intro zenon_H177.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.54/8.72 apply (zenon_L1_); trivial.
% 8.54/8.72 (* end of lemma zenon_L274_ *)
% 8.54/8.72 assert (zenon_L275_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H20f zenon_H18a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H1a9. zenon_intro zenon_H210.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H103. zenon_intro zenon_H17a.
% 8.54/8.72 apply (zenon_L123_); trivial.
% 8.54/8.72 (* end of lemma zenon_L275_ *)
% 8.54/8.72 assert (zenon_L276_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H211 zenon_H1d zenon_H124.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1a9. zenon_intro zenon_H212.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H103. zenon_intro zenon_H17d.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.72 apply (zenon_L72_); trivial.
% 8.54/8.72 (* end of lemma zenon_L276_ *)
% 8.54/8.72 assert (zenon_L277_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H187 zenon_H49.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Hac. zenon_intro zenon_H189.
% 8.54/8.72 apply (zenon_L82_); trivial.
% 8.54/8.72 (* end of lemma zenon_L277_ *)
% 8.54/8.72 assert (zenon_L278_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1a0 zenon_H154.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.54/8.72 apply (zenon_L97_); trivial.
% 8.54/8.72 (* end of lemma zenon_L278_ *)
% 8.54/8.72 assert (zenon_L279_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1fb zenon_H154.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H191. zenon_intro zenon_H1fc.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H93. zenon_intro zenon_H1c7.
% 8.54/8.72 apply (zenon_L97_); trivial.
% 8.54/8.72 (* end of lemma zenon_L279_ *)
% 8.54/8.72 assert (zenon_L280_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H205 zenon_H197 zenon_H191.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.54/8.72 apply (zenon_L191_); trivial.
% 8.54/8.72 (* end of lemma zenon_L280_ *)
% 8.54/8.72 assert (zenon_L281_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H20f zenon_H49.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H1a9. zenon_intro zenon_H210.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H103. zenon_intro zenon_H17a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.72 apply (zenon_L82_); trivial.
% 8.54/8.72 (* end of lemma zenon_L281_ *)
% 8.54/8.72 assert (zenon_L282_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H17b zenon_H54.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H1e. zenon_intro zenon_H17c.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1e. zenon_intro zenon_H17d.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.72 apply (zenon_L100_); trivial.
% 8.54/8.72 (* end of lemma zenon_L282_ *)
% 8.54/8.72 assert (zenon_L283_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H187 zenon_H56.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Hac. zenon_intro zenon_H189.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.72 apply (zenon_L99_); trivial.
% 8.54/8.72 (* end of lemma zenon_L283_ *)
% 8.54/8.72 assert (zenon_L284_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1a0 zenon_H54.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.54/8.72 apply (zenon_L100_); trivial.
% 8.54/8.72 (* end of lemma zenon_L284_ *)
% 8.54/8.72 assert (zenon_L285_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1a6 zenon_H54.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H24. zenon_intro zenon_H1a7.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H143. zenon_intro zenon_H1a8.
% 8.54/8.72 apply (zenon_L100_); trivial.
% 8.54/8.72 (* end of lemma zenon_L285_ *)
% 8.54/8.72 assert (zenon_L286_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1bb zenon_H54.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H73. zenon_intro zenon_H1bc.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H6b. zenon_intro zenon_H17d.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.72 apply (zenon_L100_); trivial.
% 8.54/8.72 (* end of lemma zenon_L286_ *)
% 8.54/8.72 assert (zenon_L287_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1ce zenon_H56.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H29. zenon_intro zenon_H1cf.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H15a. zenon_intro zenon_H1a8.
% 8.54/8.72 apply (zenon_L99_); trivial.
% 8.54/8.72 (* end of lemma zenon_L287_ *)
% 8.54/8.72 assert (zenon_L288_ : (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_Ha3 zenon_H103 zenon_Hd6.
% 8.54/8.72 cut (((op (e0) (e3)) = (e3)) = ((e1) = (e3))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_Ha3.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H103.
% 8.54/8.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.72 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 8.54/8.72 congruence.
% 8.54/8.72 exact (zenon_H2b4 zenon_Hd6).
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L288_ *)
% 8.54/8.72 assert (zenon_L289_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H2b5 zenon_Hac zenon_Hb4 zenon_H16b zenon_H109 zenon_H3c zenon_Hd0 zenon_H103.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.54/8.72 apply (zenon_L105_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.54/8.72 apply (zenon_L106_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.54/8.72 apply (zenon_L63_); trivial.
% 8.54/8.72 apply (zenon_L60_); trivial.
% 8.54/8.72 (* end of lemma zenon_L289_ *)
% 8.54/8.72 assert (zenon_L290_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H2b8 zenon_Ha3 zenon_H29 zenon_H129 zenon_H2b5 zenon_Hac zenon_Hb4 zenon_H16d zenon_H109 zenon_H3c zenon_Hd0 zenon_H103.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.54/8.72 apply (zenon_L288_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.54/8.72 apply (zenon_L74_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.54/8.72 apply (zenon_L289_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.54/8.72 apply (zenon_L105_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.54/8.72 apply (zenon_L267_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.54/8.72 apply (zenon_L63_); trivial.
% 8.54/8.72 apply (zenon_L60_); trivial.
% 8.54/8.72 (* end of lemma zenon_L290_ *)
% 8.54/8.72 assert (zenon_L291_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H2a2 zenon_H1f zenon_H1d zenon_H103 zenon_Hd0 zenon_H3c zenon_H109 zenon_H16d zenon_Hb4 zenon_H2b5 zenon_H129 zenon_H29 zenon_Ha3 zenon_H2b8 zenon_H54 zenon_Hc2 zenon_H1a9.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.72 apply (zenon_L1_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.72 apply (zenon_L290_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.72 apply (zenon_L100_); trivial.
% 8.54/8.72 apply (zenon_L133_); trivial.
% 8.54/8.72 (* end of lemma zenon_L291_ *)
% 8.54/8.72 assert (zenon_L292_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H20f zenon_H2b8 zenon_Ha3 zenon_H29 zenon_H129 zenon_H2b5 zenon_Hb4 zenon_H16d zenon_H109 zenon_H3c zenon_Hd0.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H1a9. zenon_intro zenon_H210.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H103. zenon_intro zenon_H17a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.72 apply (zenon_L290_); trivial.
% 8.54/8.72 (* end of lemma zenon_L292_ *)
% 8.54/8.72 assert (zenon_L293_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H211 zenon_H54.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1a9. zenon_intro zenon_H212.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H103. zenon_intro zenon_H17d.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.72 apply (zenon_L100_); trivial.
% 8.54/8.72 (* end of lemma zenon_L293_ *)
% 8.54/8.72 assert (zenon_L294_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H11f zenon_H1d zenon_H127 zenon_Hac zenon_Hb4 zenon_H3c zenon_H78 zenon_H59 zenon_H1a9.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.72 apply (zenon_L73_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.72 apply (zenon_L105_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.72 apply (zenon_L65_); trivial.
% 8.54/8.72 apply (zenon_L264_); trivial.
% 8.54/8.72 (* end of lemma zenon_L294_ *)
% 8.54/8.72 assert (zenon_L295_ : (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H65 zenon_Hbd.
% 8.54/8.72 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (op (e3) (e2))) = (e2))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H65.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_Hbd.
% 8.54/8.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.72 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 8.54/8.72 congruence.
% 8.54/8.72 elim (classic ((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2))))); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2bd ].
% 8.54/8.72 cut (((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e2))))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H2bb.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H2bc.
% 8.54/8.72 cut (((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 8.54/8.72 cut (((op (e3) (op (e3) (e2))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e3) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 8.54/8.72 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H58. apply refl_equal.
% 8.54/8.72 exact (zenon_Hbe zenon_Hbd).
% 8.54/8.72 apply zenon_H2bd. apply refl_equal.
% 8.54/8.72 apply zenon_H2bd. apply refl_equal.
% 8.54/8.72 apply zenon_H4b. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L295_ *)
% 8.54/8.72 assert (zenon_L296_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1a6 zenon_H65.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H24. zenon_intro zenon_H1a7.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H143. zenon_intro zenon_H1a8.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.54/8.72 apply (zenon_L295_); trivial.
% 8.54/8.72 (* end of lemma zenon_L296_ *)
% 8.54/8.72 assert (zenon_L297_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1ce zenon_H65.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H29. zenon_intro zenon_H1cf.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H15a. zenon_intro zenon_H1a8.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.54/8.72 apply (zenon_L295_); trivial.
% 8.54/8.72 (* end of lemma zenon_L297_ *)
% 8.54/8.72 assert (zenon_L298_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H1e2 zenon_H64.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H35. zenon_intro zenon_H1e3.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_Hf4. zenon_intro zenon_H1ad.
% 8.54/8.72 apply (zenon_L265_); trivial.
% 8.54/8.72 (* end of lemma zenon_L298_ *)
% 8.54/8.72 assert (zenon_L299_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H203 zenon_H65.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H3b. zenon_intro zenon_H204.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H3b. zenon_intro zenon_H1a8.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.54/8.72 apply (zenon_L295_); trivial.
% 8.54/8.72 (* end of lemma zenon_L299_ *)
% 8.54/8.72 assert (zenon_L300_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H205 zenon_H65.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Hbd. zenon_intro zenon_H1ad.
% 8.54/8.72 apply (zenon_L295_); trivial.
% 8.54/8.72 (* end of lemma zenon_L300_ *)
% 8.54/8.72 assert (zenon_L301_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H11f zenon_Hc2 zenon_H103 zenon_Hac zenon_Hb4 zenon_H3c zenon_H78 zenon_H59 zenon_H1a9.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.72 apply (zenon_L201_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.72 apply (zenon_L105_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.72 apply (zenon_L65_); trivial.
% 8.54/8.72 apply (zenon_L264_); trivial.
% 8.54/8.72 (* end of lemma zenon_L301_ *)
% 8.54/8.72 assert (zenon_L302_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H2bf zenon_H1dc zenon_H1dd zenon_H169 zenon_H2c0 zenon_H1d9 zenon_H2b8 zenon_H2b5 zenon_H109 zenon_H197 zenon_H22e zenon_H31 zenon_Hab zenon_H2b zenon_H7d zenon_H129 zenon_H1f6 zenon_H124 zenon_H1d7 zenon_H3a zenon_H2a5 zenon_H2a4 zenon_H270 zenon_Hc2 zenon_H1d3 zenon_Hb7 zenon_H78 zenon_H192 zenon_H145 zenon_H285 zenon_H295 zenon_H2a3 zenon_Hb4 zenon_H25 zenon_H150 zenon_H1f zenon_H2a2 zenon_H2a1 zenon_H282 zenon_H12b zenon_H137 zenon_H173 zenon_H27f zenon_H127 zenon_H11f zenon_H67 zenon_H1d zenon_H16d zenon_H29f zenon_Ha3 zenon_Hf9 zenon_Hd0 zenon_H22d zenon_H170 zenon_H1a9.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.54/8.72 apply (zenon_L72_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.72 apply (zenon_L73_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.72 apply (zenon_L74_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.72 apply (zenon_L113_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.72 apply (zenon_L114_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.72 apply (zenon_L116_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.72 apply (zenon_L154_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.72 apply (zenon_L155_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.72 apply (zenon_L156_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Hac. zenon_intro zenon_H189.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.54/8.72 apply (zenon_L76_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.54/8.72 apply (zenon_L93_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.54/8.72 apply (zenon_L157_); trivial.
% 8.54/8.72 apply (zenon_L158_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.72 apply (zenon_L159_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.72 apply (zenon_L160_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.72 apply (zenon_L162_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.72 apply (zenon_L163_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.72 apply (zenon_L164_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.72 apply (zenon_L134_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.72 apply (zenon_L166_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.72 apply (zenon_L168_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.72 apply (zenon_L170_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.72 apply (zenon_L171_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.72 apply (zenon_L172_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.72 apply (zenon_L173_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.72 apply (zenon_L174_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.72 apply (zenon_L175_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.72 apply (zenon_L176_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.72 apply (zenon_L146_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.72 apply (zenon_L177_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.72 apply (zenon_L178_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.72 apply (zenon_L151_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.72 apply (zenon_L179_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H29. zenon_intro zenon_H1cf.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H15a. zenon_intro zenon_H1a8.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.54/8.72 apply (zenon_L181_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.72 apply (zenon_L182_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.72 apply (zenon_L183_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.72 apply (zenon_L184_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.72 apply (zenon_L185_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.72 apply (zenon_L186_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.72 apply (zenon_L187_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.72 apply (zenon_L188_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.72 apply (zenon_L189_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.72 apply (zenon_L190_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.72 apply (zenon_L192_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.72 apply (zenon_L240_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.72 apply (zenon_L214_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.72 apply (zenon_L241_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.72 apply (zenon_L242_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.72 apply (zenon_L270_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.72 apply (zenon_L272_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.72 apply (zenon_L273_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.72 apply (zenon_L220_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.72 apply (zenon_L221_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.72 apply (zenon_L222_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.72 apply (zenon_L274_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.72 apply (zenon_L275_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.72 apply (zenon_L276_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.72 apply (zenon_L226_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.72 apply (zenon_L227_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.72 apply (zenon_L228_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.72 apply (zenon_L229_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.72 apply (zenon_L230_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.72 apply (zenon_L231_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.72 apply (zenon_L232_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.72 apply (zenon_L233_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.72 apply (zenon_L234_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.72 apply (zenon_L235_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.72 apply (zenon_L236_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.72 apply (zenon_L237_); trivial.
% 8.54/8.72 apply (zenon_L238_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.72 apply (zenon_L113_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.72 apply (zenon_L114_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.72 apply (zenon_L116_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.72 apply (zenon_L154_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.72 apply (zenon_L155_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.72 apply (zenon_L156_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.72 apply (zenon_L277_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.72 apply (zenon_L159_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.72 apply (zenon_L160_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.72 apply (zenon_L278_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.72 apply (zenon_L163_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.72 apply (zenon_L164_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.72 apply (zenon_L134_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.72 apply (zenon_L166_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.72 apply (zenon_L168_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.72 apply (zenon_L170_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.72 apply (zenon_L171_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.72 apply (zenon_L172_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.72 apply (zenon_L173_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.72 apply (zenon_L174_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.72 apply (zenon_L175_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.72 apply (zenon_L176_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.72 apply (zenon_L146_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.72 apply (zenon_L177_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.72 apply (zenon_L178_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.72 apply (zenon_L205_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.72 apply (zenon_L179_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H29. zenon_intro zenon_H1cf.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H15a. zenon_intro zenon_H1a8.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.54/8.72 apply (zenon_L80_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.54/8.72 apply (zenon_L85_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.54/8.72 apply (zenon_L149_); trivial.
% 8.54/8.72 apply (zenon_L180_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.72 apply (zenon_L182_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.72 apply (zenon_L183_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.72 apply (zenon_L184_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.72 apply (zenon_L185_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.72 apply (zenon_L186_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.72 apply (zenon_L187_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.72 apply (zenon_L188_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.72 apply (zenon_L189_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.72 apply (zenon_L190_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.72 apply (zenon_L212_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.72 apply (zenon_L240_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.72 apply (zenon_L279_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.72 apply (zenon_L241_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.72 apply (zenon_L242_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.72 apply (zenon_L270_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.72 apply (zenon_L272_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Hbd. zenon_intro zenon_H1ad.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.54/8.72 apply (zenon_L80_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.54/8.72 apply (zenon_L85_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.54/8.72 apply (zenon_L280_); trivial.
% 8.54/8.72 apply (zenon_L180_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.72 apply (zenon_L220_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.72 apply (zenon_L221_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.72 apply (zenon_L222_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.72 apply (zenon_L274_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.72 apply (zenon_L281_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.72 apply (zenon_L276_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.72 apply (zenon_L226_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.72 apply (zenon_L227_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.72 apply (zenon_L228_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.72 apply (zenon_L229_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.72 apply (zenon_L230_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.72 apply (zenon_L231_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.72 apply (zenon_L232_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.72 apply (zenon_L233_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.72 apply (zenon_L234_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.72 apply (zenon_L235_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.72 apply (zenon_L236_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.72 apply (zenon_L237_); trivial.
% 8.54/8.72 apply (zenon_L238_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.72 apply (zenon_L113_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.72 apply (zenon_L114_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.72 apply (zenon_L282_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.72 apply (zenon_L154_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.72 apply (zenon_L155_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.72 apply (zenon_L156_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.72 apply (zenon_L283_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.72 apply (zenon_L159_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.72 apply (zenon_L160_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.72 apply (zenon_L284_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.72 apply (zenon_L163_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.72 apply (zenon_L285_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.72 apply (zenon_L134_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.72 apply (zenon_L166_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.72 apply (zenon_L168_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.72 apply (zenon_L170_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.72 apply (zenon_L171_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.72 apply (zenon_L172_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.72 apply (zenon_L286_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.72 apply (zenon_L174_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.72 apply (zenon_L175_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.72 apply (zenon_L176_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.72 apply (zenon_L146_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.72 apply (zenon_L177_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.72 apply (zenon_L178_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.72 apply (zenon_L151_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.72 apply (zenon_L179_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.72 apply (zenon_L287_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H35. zenon_intro zenon_H1e3.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_Hf4. zenon_intro zenon_H1ad.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.54/8.72 apply (zenon_L291_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.72 apply (zenon_L183_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.72 apply (zenon_L184_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.72 apply (zenon_L185_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.72 apply (zenon_L186_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.72 apply (zenon_L187_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.72 apply (zenon_L188_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.72 apply (zenon_L189_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.72 apply (zenon_L190_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.72 apply (zenon_L192_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.72 apply (zenon_L240_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.72 apply (zenon_L214_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.72 apply (zenon_L241_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.72 apply (zenon_L242_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.72 apply (zenon_L270_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.72 apply (zenon_L272_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Hbd. zenon_intro zenon_H1ad.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.54/8.72 apply (zenon_L291_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.72 apply (zenon_L220_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.72 apply (zenon_L221_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.72 apply (zenon_L222_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.72 apply (zenon_L274_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.72 apply (zenon_L292_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.72 apply (zenon_L293_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.72 apply (zenon_L226_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.72 apply (zenon_L227_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.72 apply (zenon_L228_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.72 apply (zenon_L229_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.72 apply (zenon_L230_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.72 apply (zenon_L231_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.72 apply (zenon_L232_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.72 apply (zenon_L233_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.72 apply (zenon_L234_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.72 apply (zenon_L235_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.72 apply (zenon_L236_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.72 apply (zenon_L237_); trivial.
% 8.54/8.72 apply (zenon_L238_); trivial.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.72 apply (zenon_L113_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H1e. zenon_intro zenon_H179.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H1e. zenon_intro zenon_H17a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.72 apply (zenon_L294_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.72 apply (zenon_L116_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.72 apply (zenon_L154_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.72 apply (zenon_L155_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.72 apply (zenon_L156_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Hac. zenon_intro zenon_H189.
% 8.54/8.72 apply (zenon_L294_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.72 apply (zenon_L159_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.72 apply (zenon_L160_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.72 apply (zenon_L162_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.72 apply (zenon_L163_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.72 apply (zenon_L296_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.72 apply (zenon_L134_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.72 apply (zenon_L166_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.72 apply (zenon_L168_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.72 apply (zenon_L170_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.72 apply (zenon_L171_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.72 apply (zenon_L172_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.72 apply (zenon_L173_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.72 apply (zenon_L174_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.72 apply (zenon_L175_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.72 apply (zenon_L176_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.72 apply (zenon_L146_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.72 apply (zenon_L177_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.72 apply (zenon_L178_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.72 apply (zenon_L205_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.72 apply (zenon_L179_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.72 apply (zenon_L297_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.72 apply (zenon_L298_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.72 apply (zenon_L183_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.72 apply (zenon_L184_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.72 apply (zenon_L185_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.72 apply (zenon_L186_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.72 apply (zenon_L187_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.72 apply (zenon_L188_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.72 apply (zenon_L189_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.72 apply (zenon_L190_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.72 apply (zenon_L212_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.72 apply (zenon_L240_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.72 apply (zenon_L214_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.72 apply (zenon_L241_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.72 apply (zenon_L242_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.72 apply (zenon_L270_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.72 apply (zenon_L299_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.72 apply (zenon_L300_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.72 apply (zenon_L220_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.72 apply (zenon_L221_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.72 apply (zenon_L222_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.72 apply (zenon_L274_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H1a9. zenon_intro zenon_H210.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H103. zenon_intro zenon_H17a.
% 8.54/8.72 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.72 apply (zenon_L301_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.72 apply (zenon_L276_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.72 apply (zenon_L226_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.72 apply (zenon_L227_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.72 apply (zenon_L228_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.72 apply (zenon_L229_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.72 apply (zenon_L230_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.72 apply (zenon_L231_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.72 apply (zenon_L232_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.72 apply (zenon_L233_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.72 apply (zenon_L234_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.72 apply (zenon_L235_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.72 apply (zenon_L236_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.72 apply (zenon_L237_); trivial.
% 8.54/8.72 apply (zenon_L238_); trivial.
% 8.54/8.72 apply (zenon_L169_); trivial.
% 8.54/8.72 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.54/8.72 apply (zenon_L269_); trivial.
% 8.54/8.72 apply (zenon_L167_); trivial.
% 8.54/8.72 (* end of lemma zenon_L302_ *)
% 8.54/8.72 assert (zenon_L303_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H153 zenon_H24 zenon_H30.
% 8.54/8.72 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H153.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H24.
% 8.54/8.72 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H128].
% 8.54/8.72 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H27. apply refl_equal.
% 8.54/8.72 apply zenon_H128. apply sym_equal. exact zenon_H30.
% 8.54/8.72 (* end of lemma zenon_L303_ *)
% 8.54/8.72 assert (zenon_L304_ : (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_H12e zenon_H24 zenon_H77.
% 8.54/8.72 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H12e.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H24.
% 8.54/8.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.72 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2c6].
% 8.54/8.72 congruence.
% 8.54/8.72 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H130 | zenon_intro zenon_H131 ].
% 8.54/8.72 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H2c6.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H130.
% 8.54/8.72 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 8.54/8.72 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2c7].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 8.54/8.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.72 congruence.
% 8.54/8.72 apply zenon_H3f. apply refl_equal.
% 8.54/8.72 exact (zenon_H7b zenon_H77).
% 8.54/8.72 apply zenon_H131. apply refl_equal.
% 8.54/8.72 apply zenon_H131. apply refl_equal.
% 8.54/8.72 apply zenon_H3f. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L304_ *)
% 8.54/8.72 assert (zenon_L305_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 8.54/8.72 do 0 intro. intros zenon_Hac zenon_Hb0 zenon_H78.
% 8.54/8.72 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.54/8.72 cut (((e2) = (e2)) = ((e0) = (e2))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H78.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_H79.
% 8.54/8.72 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.72 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 8.54/8.72 congruence.
% 8.54/8.72 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))).
% 8.54/8.72 intro zenon_D_pnotp.
% 8.54/8.72 apply zenon_H7a.
% 8.54/8.72 rewrite <- zenon_D_pnotp.
% 8.54/8.72 exact zenon_Hac.
% 8.54/8.72 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.72 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2c8].
% 8.54/8.72 congruence.
% 8.54/8.72 exact (zenon_H2c8 zenon_Hb0).
% 8.54/8.72 apply zenon_H3f. apply refl_equal.
% 8.54/8.72 apply zenon_H4b. apply refl_equal.
% 8.54/8.72 apply zenon_H4b. apply refl_equal.
% 8.54/8.72 (* end of lemma zenon_L305_ *)
% 8.54/8.72 assert (zenon_L306_ : (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False).
% 8.54/8.72 do 0 intro. intros zenon_Ha8 zenon_H1a9 zenon_Hf1.
% 8.54/8.73 cut (((op (e3) (e0)) = (e3)) = ((e2) = (e3))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_Ha8.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H1a9.
% 8.54/8.73 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.73 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 8.54/8.73 congruence.
% 8.54/8.73 exact (zenon_Hf2 zenon_Hf1).
% 8.54/8.73 apply zenon_H58. apply refl_equal.
% 8.54/8.73 (* end of lemma zenon_L306_ *)
% 8.54/8.73 assert (zenon_L307_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H2c9 zenon_H2a zenon_H15a.
% 8.54/8.73 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H2c9.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H2a.
% 8.54/8.73 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2ca].
% 8.54/8.73 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H6e. apply refl_equal.
% 8.54/8.73 apply zenon_H2ca. apply sym_equal. exact zenon_H15a.
% 8.54/8.73 (* end of lemma zenon_L307_ *)
% 8.54/8.73 assert (zenon_L308_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H175 zenon_H24 zenon_H25.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H1e. zenon_intro zenon_H176.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1e. zenon_intro zenon_H177.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.54/8.73 apply (zenon_L2_); trivial.
% 8.54/8.73 (* end of lemma zenon_L308_ *)
% 8.54/8.73 assert (zenon_L309_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H178 zenon_H24 zenon_H124.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H1e. zenon_intro zenon_H179.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H1e. zenon_intro zenon_H17a.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.73 apply (zenon_L72_); trivial.
% 8.54/8.73 (* end of lemma zenon_L309_ *)
% 8.54/8.73 assert (zenon_L310_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1d1 zenon_H24 zenon_H124.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d. zenon_intro zenon_H1d2.
% 8.54/8.73 apply (zenon_L72_); trivial.
% 8.54/8.73 (* end of lemma zenon_L310_ *)
% 8.54/8.73 assert (zenon_L311_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1b7 zenon_H24 zenon_H25.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H73. zenon_intro zenon_H1b8.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H6b. zenon_intro zenon_H177.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.54/8.73 apply (zenon_L2_); trivial.
% 8.54/8.73 (* end of lemma zenon_L311_ *)
% 8.54/8.73 assert (zenon_L312_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1b9 zenon_H24 zenon_H124.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H73. zenon_intro zenon_H1ba.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H6b. zenon_intro zenon_H17a.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.73 apply (zenon_L72_); trivial.
% 8.54/8.73 (* end of lemma zenon_L312_ *)
% 8.54/8.73 assert (zenon_L313_ : ((op (e3) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_Hf4 zenon_H6b zenon_H1dd.
% 8.54/8.73 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ].
% 8.54/8.73 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H1dd.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H2cb.
% 8.54/8.73 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.54/8.73 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 8.54/8.73 congruence.
% 8.54/8.73 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e0) (e1)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H2cd.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_Hf4.
% 8.54/8.73 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 8.54/8.73 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H2cc. apply refl_equal.
% 8.54/8.73 apply zenon_H70. apply sym_equal. exact zenon_H6b.
% 8.54/8.73 apply zenon_H2cc. apply refl_equal.
% 8.54/8.73 apply zenon_H2cc. apply refl_equal.
% 8.54/8.73 (* end of lemma zenon_L313_ *)
% 8.54/8.73 assert (zenon_L314_ : ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H191 zenon_Hcb zenon_H164.
% 8.54/8.73 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H193 | zenon_intro zenon_H16a ].
% 8.54/8.73 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H164.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H193.
% 8.54/8.73 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.54/8.73 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2ce].
% 8.54/8.73 congruence.
% 8.54/8.73 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e0) (e1)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H2ce.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H191.
% 8.54/8.73 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 8.54/8.73 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H16a. apply refl_equal.
% 8.54/8.73 apply zenon_H2cf. apply sym_equal. exact zenon_Hcb.
% 8.54/8.73 apply zenon_H16a. apply refl_equal.
% 8.54/8.73 apply zenon_H16a. apply refl_equal.
% 8.54/8.73 (* end of lemma zenon_L314_ *)
% 8.54/8.73 assert (zenon_L315_ : ((op (e0) (e3)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H103 zenon_H274 zenon_H127.
% 8.54/8.73 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H32 | zenon_intro zenon_H33 ].
% 8.54/8.73 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H127.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H32.
% 8.54/8.73 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.54/8.73 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2d0].
% 8.54/8.73 congruence.
% 8.54/8.73 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e0) (e1)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H2d0.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H103.
% 8.54/8.73 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2d1].
% 8.54/8.73 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H33. apply refl_equal.
% 8.54/8.73 apply zenon_H2d1. apply sym_equal. exact zenon_H274.
% 8.54/8.73 apply zenon_H33. apply refl_equal.
% 8.54/8.73 apply zenon_H33. apply refl_equal.
% 8.54/8.73 (* end of lemma zenon_L315_ *)
% 8.54/8.73 assert (zenon_L316_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1f2 zenon_H35 zenon_Hb4.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.54/8.73 apply (zenon_L119_); trivial.
% 8.54/8.73 (* end of lemma zenon_L316_ *)
% 8.54/8.73 assert (zenon_L317_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1f4 zenon_H35 zenon_H36.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H191. zenon_intro zenon_H1f5.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H93. zenon_intro zenon_H186.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.54/8.73 apply (zenon_L5_); trivial.
% 8.54/8.73 (* end of lemma zenon_L317_ *)
% 8.54/8.73 assert (zenon_L318_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H29f zenon_H24 zenon_Hc3.
% 8.54/8.73 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H29f.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H24.
% 8.54/8.73 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 8.54/8.73 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H27. apply refl_equal.
% 8.54/8.73 apply zenon_H171. apply sym_equal. exact zenon_Hc3.
% 8.54/8.73 (* end of lemma zenon_L318_ *)
% 8.54/8.73 assert (zenon_L319_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1d9 zenon_Hf4 zenon_Hf6.
% 8.54/8.73 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H1d9.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_Hf4.
% 8.54/8.73 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 8.54/8.73 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H2cc. apply refl_equal.
% 8.54/8.73 apply zenon_H2a0. apply sym_equal. exact zenon_Hf6.
% 8.54/8.73 (* end of lemma zenon_L319_ *)
% 8.54/8.73 assert (zenon_L320_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H2d2 zenon_H93 zenon_Hbd.
% 8.54/8.73 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H2d2.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H93.
% 8.54/8.73 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d3].
% 8.54/8.73 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H2d. apply refl_equal.
% 8.54/8.73 apply zenon_H2d3. apply sym_equal. exact zenon_Hbd.
% 8.54/8.73 (* end of lemma zenon_L320_ *)
% 8.54/8.73 assert (zenon_L321_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1fb zenon_H2d4 zenon_H24 zenon_H29f zenon_H1d9 zenon_H2d2 zenon_H170 zenon_H1a9.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H191. zenon_intro zenon_H1fc.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H93. zenon_intro zenon_H1c7.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.54/8.73 apply (zenon_L318_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.54/8.73 apply (zenon_L319_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.54/8.73 apply (zenon_L320_); trivial.
% 8.54/8.73 apply (zenon_L167_); trivial.
% 8.54/8.73 (* end of lemma zenon_L321_ *)
% 8.54/8.73 assert (zenon_L322_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H20d zenon_H24 zenon_H25.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1a9. zenon_intro zenon_H20e.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H103. zenon_intro zenon_H177.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.54/8.73 apply (zenon_L2_); trivial.
% 8.54/8.73 (* end of lemma zenon_L322_ *)
% 8.54/8.73 assert (zenon_L323_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H20f zenon_H24 zenon_H124.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H1a9. zenon_intro zenon_H210.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H103. zenon_intro zenon_H17a.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.73 apply (zenon_L72_); trivial.
% 8.54/8.73 (* end of lemma zenon_L323_ *)
% 8.54/8.73 assert (zenon_L324_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_Hff zenon_H103 zenon_H195.
% 8.54/8.73 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_Hff.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H103.
% 8.54/8.73 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 8.54/8.73 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H33. apply refl_equal.
% 8.54/8.73 apply zenon_H2d7. apply sym_equal. exact zenon_H195.
% 8.54/8.73 (* end of lemma zenon_L324_ *)
% 8.54/8.73 assert (zenon_L325_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H2d8 zenon_H143 zenon_H12b zenon_H35 zenon_H109 zenon_H191 zenon_H197 zenon_Hff zenon_H103.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H2d9 ].
% 8.54/8.73 apply (zenon_L253_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H16b | zenon_intro zenon_H2da ].
% 8.54/8.73 apply (zenon_L106_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3c | zenon_intro zenon_H195 ].
% 8.54/8.73 apply (zenon_L191_); trivial.
% 8.54/8.73 apply (zenon_L324_); trivial.
% 8.54/8.73 (* end of lemma zenon_L325_ *)
% 8.54/8.73 assert (zenon_L326_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H211 zenon_H2d8 zenon_H12b zenon_H35 zenon_H109 zenon_H191 zenon_H197 zenon_Hff.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1a9. zenon_intro zenon_H212.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H103. zenon_intro zenon_H17d.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.73 apply (zenon_L325_); trivial.
% 8.54/8.73 (* end of lemma zenon_L326_ *)
% 8.54/8.73 assert (zenon_L327_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H191 zenon_H196 zenon_Ha8.
% 8.54/8.73 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.73 cut (((e3) = (e3)) = ((e2) = (e3))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_Ha8.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_Ha4.
% 8.54/8.73 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.73 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 8.54/8.73 congruence.
% 8.54/8.73 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_Ha9.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H191.
% 8.54/8.73 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.73 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 8.54/8.73 congruence.
% 8.54/8.73 exact (zenon_H2db zenon_H196).
% 8.54/8.73 apply zenon_H4b. apply refl_equal.
% 8.54/8.73 apply zenon_H58. apply refl_equal.
% 8.54/8.73 apply zenon_H58. apply refl_equal.
% 8.54/8.73 (* end of lemma zenon_L327_ *)
% 8.54/8.73 assert (zenon_L328_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H2a3 zenon_H127 zenon_H103 zenon_H35 zenon_H41 zenon_Ha8 zenon_H191 zenon_H1d3 zenon_H1a9.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.54/8.73 apply (zenon_L315_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.54/8.73 apply (zenon_L247_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.54/8.73 apply (zenon_L327_); trivial.
% 8.54/8.73 apply (zenon_L165_); trivial.
% 8.54/8.73 (* end of lemma zenon_L328_ *)
% 8.54/8.73 assert (zenon_L329_ : (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H4c zenon_H191 zenon_H91.
% 8.54/8.73 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H4c.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H191.
% 8.54/8.73 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.73 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2dc].
% 8.54/8.73 congruence.
% 8.54/8.73 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H4e | zenon_intro zenon_H4f ].
% 8.54/8.73 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))).
% 8.54/8.73 intro zenon_D_pnotp.
% 8.54/8.73 apply zenon_H2dc.
% 8.54/8.73 rewrite <- zenon_D_pnotp.
% 8.54/8.73 exact zenon_H4e.
% 8.54/8.73 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 8.54/8.73 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2dd].
% 8.54/8.73 congruence.
% 8.54/8.73 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2de].
% 8.54/8.73 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.73 congruence.
% 8.54/8.73 apply zenon_H4b. apply refl_equal.
% 8.54/8.73 exact (zenon_H2de zenon_H91).
% 8.54/8.73 apply zenon_H4f. apply refl_equal.
% 8.54/8.73 apply zenon_H4f. apply refl_equal.
% 8.54/8.73 apply zenon_H4b. apply refl_equal.
% 8.54/8.73 (* end of lemma zenon_L329_ *)
% 8.54/8.73 assert (zenon_L330_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H2df zenon_H67 zenon_H24 zenon_H35 zenon_H129 zenon_H191 zenon_H4c zenon_H1d9 zenon_Hf4.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.54/8.73 apply (zenon_L22_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.54/8.73 apply (zenon_L74_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.54/8.73 apply (zenon_L329_); trivial.
% 8.54/8.73 apply (zenon_L319_); trivial.
% 8.54/8.73 (* end of lemma zenon_L330_ *)
% 8.54/8.73 assert (zenon_L331_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H2df zenon_H67 zenon_H24 zenon_H129 zenon_H1fb zenon_H191 zenon_H4c zenon_H1d9 zenon_Hf4.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.54/8.73 apply (zenon_L22_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.54/8.73 apply (zenon_L214_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.54/8.73 apply (zenon_L329_); trivial.
% 8.54/8.73 apply (zenon_L319_); trivial.
% 8.54/8.73 (* end of lemma zenon_L331_ *)
% 8.54/8.73 assert (zenon_L332_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H11f zenon_H24 zenon_H153 zenon_H35 zenon_H67 zenon_H143 zenon_H12b zenon_H59 zenon_H1a9.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.73 apply (zenon_L303_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.73 apply (zenon_L263_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.73 apply (zenon_L253_); trivial.
% 8.54/8.73 apply (zenon_L264_); trivial.
% 8.54/8.73 (* end of lemma zenon_L332_ *)
% 8.54/8.73 assert (zenon_L333_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1d1 zenon_H64.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d. zenon_intro zenon_H1d2.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_Hac. zenon_intro zenon_H1c7.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.73 apply (zenon_L265_); trivial.
% 8.54/8.73 (* end of lemma zenon_L333_ *)
% 8.54/8.73 assert (zenon_L334_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1c5 zenon_H64.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H2a. zenon_intro zenon_H1c6.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H2a. zenon_intro zenon_H1c7.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.73 apply (zenon_L265_); trivial.
% 8.54/8.73 (* end of lemma zenon_L334_ *)
% 8.54/8.73 assert (zenon_L335_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H1fb zenon_H64.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H191. zenon_intro zenon_H1fc.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H93. zenon_intro zenon_H1c7.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.73 apply (zenon_L265_); trivial.
% 8.54/8.73 (* end of lemma zenon_L335_ *)
% 8.54/8.73 assert (zenon_L336_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H11f zenon_Hc2 zenon_H211 zenon_H35 zenon_H67 zenon_H12b zenon_H59.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1a9. zenon_intro zenon_H212.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H103. zenon_intro zenon_H17d.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.73 apply (zenon_L225_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.73 apply (zenon_L263_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.73 apply (zenon_L253_); trivial.
% 8.54/8.73 apply (zenon_L264_); trivial.
% 8.54/8.73 (* end of lemma zenon_L336_ *)
% 8.54/8.73 assert (zenon_L337_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.73 do 0 intro. intros zenon_H2bf zenon_H2a5 zenon_H2d4 zenon_H29f zenon_H2d2 zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2d8 zenon_H109 zenon_Hff zenon_H2a3 zenon_H127 zenon_Ha8 zenon_H2df zenon_H1d9 zenon_H153 zenon_Hb4 zenon_H36 zenon_H25 zenon_H124 zenon_H12b zenon_H67 zenon_H11f zenon_H1d7 zenon_H197 zenon_H129 zenon_H22e zenon_H31 zenon_Hab zenon_H2b zenon_H7d zenon_H192 zenon_Hc2 zenon_H1d3 zenon_H22d zenon_H191 zenon_H1f6 zenon_H170 zenon_H1a9.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.73 apply (zenon_L303_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.73 apply (zenon_L308_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.73 apply (zenon_L309_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.73 apply (zenon_L115_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.73 apply (zenon_L154_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.73 apply (zenon_L120_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.73 apply (zenon_L121_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.73 apply (zenon_L196_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.73 apply (zenon_L310_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.73 apply (zenon_L197_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.54/8.73 apply (zenon_L304_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.54/8.73 apply (zenon_L34_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.54/8.73 apply (zenon_L125_); trivial.
% 8.54/8.73 apply (zenon_L306_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.73 apply (zenon_L199_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.73 apply (zenon_L200_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.73 apply (zenon_L134_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.73 apply (zenon_L166_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.73 apply (zenon_L168_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.73 apply (zenon_L170_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.73 apply (zenon_L311_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.73 apply (zenon_L312_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.73 apply (zenon_L141_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.73 apply (zenon_L174_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.73 apply (zenon_L143_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.73 apply (zenon_L144_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.73 apply (zenon_L203_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.73 apply (zenon_L147_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.73 apply (zenon_L204_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.73 apply (zenon_L150_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.73 apply (zenon_L206_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.73 apply (zenon_L207_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H35. zenon_intro zenon_H1e3.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_Hf4. zenon_intro zenon_H1ad.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H1d | zenon_intro zenon_H2e3 ].
% 8.54/8.73 apply (zenon_L72_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H6b | zenon_intro zenon_H2e4 ].
% 8.54/8.73 apply (zenon_L313_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_Hcb | zenon_intro zenon_H274 ].
% 8.54/8.73 apply (zenon_L314_); trivial.
% 8.54/8.73 apply (zenon_L315_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.73 apply (zenon_L183_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.73 apply (zenon_L184_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.73 apply (zenon_L185_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.73 apply (zenon_L209_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.73 apply (zenon_L210_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.73 apply (zenon_L211_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.73 apply (zenon_L189_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.73 apply (zenon_L316_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.73 apply (zenon_L317_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.73 apply (zenon_L213_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.73 apply (zenon_L321_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.73 apply (zenon_L215_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.73 apply (zenon_L216_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.73 apply (zenon_L217_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.73 apply (zenon_L218_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.73 apply (zenon_L280_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.73 apply (zenon_L220_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.73 apply (zenon_L221_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.73 apply (zenon_L222_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.73 apply (zenon_L322_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.73 apply (zenon_L323_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.73 apply (zenon_L326_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.73 apply (zenon_L226_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.73 apply (zenon_L227_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.73 apply (zenon_L228_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.73 apply (zenon_L229_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.73 apply (zenon_L230_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.73 apply (zenon_L231_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.73 apply (zenon_L232_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.73 apply (zenon_L233_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.73 apply (zenon_L234_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.73 apply (zenon_L235_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.73 apply (zenon_L236_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.73 apply (zenon_L237_); trivial.
% 8.54/8.73 apply (zenon_L238_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.73 apply (zenon_L308_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.73 apply (zenon_L309_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.73 apply (zenon_L115_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.73 apply (zenon_L154_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.73 apply (zenon_L120_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.73 apply (zenon_L121_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.73 apply (zenon_L196_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.73 apply (zenon_L310_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.73 apply (zenon_L197_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.73 apply (zenon_L278_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.73 apply (zenon_L199_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.73 apply (zenon_L200_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.73 apply (zenon_L134_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.73 apply (zenon_L166_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.73 apply (zenon_L168_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.73 apply (zenon_L170_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.73 apply (zenon_L311_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.73 apply (zenon_L312_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.73 apply (zenon_L141_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.73 apply (zenon_L174_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.73 apply (zenon_L143_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.73 apply (zenon_L144_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.73 apply (zenon_L203_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.73 apply (zenon_L147_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.73 apply (zenon_L204_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.73 apply (zenon_L150_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.73 apply (zenon_L206_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.73 apply (zenon_L207_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H35. zenon_intro zenon_H1e3.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_Hf4. zenon_intro zenon_H1ad.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.54/8.73 apply (zenon_L328_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.73 apply (zenon_L183_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.73 apply (zenon_L184_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.73 apply (zenon_L185_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.73 apply (zenon_L209_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.73 apply (zenon_L210_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.73 apply (zenon_L211_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.73 apply (zenon_L189_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.73 apply (zenon_L316_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.73 apply (zenon_L317_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.73 apply (zenon_L213_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.73 apply (zenon_L279_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.73 apply (zenon_L215_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.73 apply (zenon_L216_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.73 apply (zenon_L217_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.73 apply (zenon_L218_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.73 apply (zenon_L280_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.73 apply (zenon_L220_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.73 apply (zenon_L221_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.73 apply (zenon_L222_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.73 apply (zenon_L322_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.73 apply (zenon_L323_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.73 apply (zenon_L326_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.73 apply (zenon_L226_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.73 apply (zenon_L227_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.73 apply (zenon_L228_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.73 apply (zenon_L229_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.73 apply (zenon_L230_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.73 apply (zenon_L231_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.73 apply (zenon_L232_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.73 apply (zenon_L233_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.73 apply (zenon_L234_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.73 apply (zenon_L235_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.73 apply (zenon_L236_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.73 apply (zenon_L237_); trivial.
% 8.54/8.73 apply (zenon_L238_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.73 apply (zenon_L308_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.73 apply (zenon_L309_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.73 apply (zenon_L282_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.73 apply (zenon_L154_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.73 apply (zenon_L120_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.73 apply (zenon_L121_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.73 apply (zenon_L196_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d. zenon_intro zenon_H1d2.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_Hac. zenon_intro zenon_H1c7.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.73 apply (zenon_L330_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.73 apply (zenon_L197_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.73 apply (zenon_L284_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.73 apply (zenon_L199_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.73 apply (zenon_L200_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.73 apply (zenon_L134_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.73 apply (zenon_L166_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.73 apply (zenon_L168_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.73 apply (zenon_L170_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.73 apply (zenon_L311_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.73 apply (zenon_L312_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.73 apply (zenon_L286_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.73 apply (zenon_L174_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.73 apply (zenon_L143_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.73 apply (zenon_L144_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.73 apply (zenon_L203_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H2a. zenon_intro zenon_H1c6.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H2a. zenon_intro zenon_H1c7.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.73 apply (zenon_L330_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.73 apply (zenon_L204_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.73 apply (zenon_L150_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.73 apply (zenon_L206_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.73 apply (zenon_L207_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H35. zenon_intro zenon_H1e3.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_Hf4. zenon_intro zenon_H1ad.
% 8.54/8.73 apply (zenon_L330_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.73 apply (zenon_L183_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.73 apply (zenon_L184_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.73 apply (zenon_L185_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.73 apply (zenon_L209_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.73 apply (zenon_L210_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.73 apply (zenon_L211_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.73 apply (zenon_L189_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.73 apply (zenon_L316_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.73 apply (zenon_L317_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.73 apply (zenon_L213_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H191. zenon_intro zenon_H1fc.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H93. zenon_intro zenon_H1c7.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.73 apply (zenon_L331_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.73 apply (zenon_L215_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.73 apply (zenon_L216_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.73 apply (zenon_L217_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.73 apply (zenon_L218_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.73 apply (zenon_L280_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.73 apply (zenon_L220_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.73 apply (zenon_L221_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.73 apply (zenon_L222_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.73 apply (zenon_L322_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.73 apply (zenon_L323_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.73 apply (zenon_L293_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.73 apply (zenon_L226_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.73 apply (zenon_L227_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.73 apply (zenon_L228_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.73 apply (zenon_L229_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.73 apply (zenon_L230_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.73 apply (zenon_L231_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.73 apply (zenon_L232_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.73 apply (zenon_L233_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.73 apply (zenon_L234_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.73 apply (zenon_L235_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.73 apply (zenon_L236_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.73 apply (zenon_L237_); trivial.
% 8.54/8.73 apply (zenon_L238_); trivial.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.73 apply (zenon_L308_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.73 apply (zenon_L309_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H1e. zenon_intro zenon_H17c.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1e. zenon_intro zenon_H17d.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.73 apply (zenon_L332_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.73 apply (zenon_L154_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.73 apply (zenon_L120_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.73 apply (zenon_L121_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.73 apply (zenon_L196_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.73 apply (zenon_L333_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.73 apply (zenon_L197_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.54/8.73 apply (zenon_L332_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.73 apply (zenon_L199_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.73 apply (zenon_L200_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.73 apply (zenon_L134_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.73 apply (zenon_L166_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.73 apply (zenon_L168_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.73 apply (zenon_L170_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.73 apply (zenon_L311_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.73 apply (zenon_L312_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H73. zenon_intro zenon_H1bc.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H6b. zenon_intro zenon_H17d.
% 8.54/8.73 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.73 apply (zenon_L332_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.73 apply (zenon_L174_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.73 apply (zenon_L143_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.73 apply (zenon_L144_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.73 apply (zenon_L203_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.73 apply (zenon_L334_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.73 apply (zenon_L204_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.73 apply (zenon_L150_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.73 apply (zenon_L206_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.73 apply (zenon_L207_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.73 apply (zenon_L298_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.73 apply (zenon_L183_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.73 apply (zenon_L184_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.73 apply (zenon_L185_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.73 apply (zenon_L209_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.73 apply (zenon_L210_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.73 apply (zenon_L211_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.73 apply (zenon_L189_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.73 apply (zenon_L316_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.73 apply (zenon_L317_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.73 apply (zenon_L213_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.73 apply (zenon_L335_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.73 apply (zenon_L215_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.73 apply (zenon_L216_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.73 apply (zenon_L217_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.73 apply (zenon_L218_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.73 apply (zenon_L280_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.73 apply (zenon_L220_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.73 apply (zenon_L221_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.73 apply (zenon_L222_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.73 apply (zenon_L322_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.73 apply (zenon_L323_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.73 apply (zenon_L336_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.73 apply (zenon_L226_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.73 apply (zenon_L227_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.73 apply (zenon_L228_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.73 apply (zenon_L229_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.73 apply (zenon_L230_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.73 apply (zenon_L231_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.73 apply (zenon_L232_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.73 apply (zenon_L233_); trivial.
% 8.54/8.73 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.74 apply (zenon_L234_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.74 apply (zenon_L235_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.74 apply (zenon_L236_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.74 apply (zenon_L237_); trivial.
% 8.54/8.74 apply (zenon_L238_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.74 apply (zenon_L191_); trivial.
% 8.54/8.74 apply (zenon_L169_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.54/8.74 apply (zenon_L239_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.54/8.74 apply (zenon_L198_); trivial.
% 8.54/8.74 apply (zenon_L167_); trivial.
% 8.54/8.74 (* end of lemma zenon_L337_ *)
% 8.54/8.74 assert (zenon_L338_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H19a zenon_H143 zenon_H2a zenon_H2c9 zenon_H1a9 zenon_H170 zenon_H1f6 zenon_H22d zenon_H1d3 zenon_Hc2 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H67 zenon_H12b zenon_H124 zenon_H25 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_Hb0 zenon_H66.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H165 | zenon_intro zenon_H19b ].
% 8.54/8.74 apply (zenon_L249_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H15a | zenon_intro zenon_H19c ].
% 8.54/8.74 apply (zenon_L307_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H196 ].
% 8.54/8.74 apply (zenon_L337_); trivial.
% 8.54/8.74 apply (zenon_L258_); trivial.
% 8.54/8.74 (* end of lemma zenon_L338_ *)
% 8.54/8.74 assert (zenon_L339_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_Hb7 zenon_H145 zenon_H74 zenon_H66 zenon_H2bf zenon_H2a5 zenon_H2d4 zenon_H29f zenon_H2d2 zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2d8 zenon_H109 zenon_Hff zenon_H2a3 zenon_H127 zenon_Ha8 zenon_H2df zenon_H1d9 zenon_H153 zenon_Hb4 zenon_H36 zenon_H25 zenon_H124 zenon_H12b zenon_H67 zenon_H11f zenon_H1d7 zenon_H197 zenon_H129 zenon_H22e zenon_H31 zenon_Hab zenon_H2b zenon_H7d zenon_H192 zenon_Hc2 zenon_H1d3 zenon_H22d zenon_H1f6 zenon_H170 zenon_H2c9 zenon_H2a zenon_H143 zenon_H19a zenon_H1a9 zenon_H295.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hac | zenon_intro zenon_Hb8 ].
% 8.54/8.74 apply (zenon_L248_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb9 ].
% 8.54/8.74 apply (zenon_L20_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H87 ].
% 8.54/8.74 apply (zenon_L338_); trivial.
% 8.54/8.74 apply (zenon_L259_); trivial.
% 8.54/8.74 (* end of lemma zenon_L339_ *)
% 8.54/8.74 assert (zenon_L340_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (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) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H150 zenon_H295 zenon_H19a zenon_H2c9 zenon_H170 zenon_H1f6 zenon_H22d zenon_H1d3 zenon_Hc2 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H12b zenon_H124 zenon_H25 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H145 zenon_Hb7 zenon_H74 zenon_H2a zenon_H67 zenon_H143 zenon_Ha3 zenon_H1a9.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.54/8.74 apply (zenon_L339_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.54/8.74 apply (zenon_L20_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.54/8.74 apply (zenon_L261_); trivial.
% 8.54/8.74 apply (zenon_L158_); trivial.
% 8.54/8.74 (* end of lemma zenon_L340_ *)
% 8.54/8.74 assert (zenon_L341_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H24 zenon_H276 zenon_Hc2.
% 8.54/8.74 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.74 cut (((e3) = (e3)) = ((e0) = (e3))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_Hc2.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_Ha4.
% 8.54/8.74 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.74 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H1f8.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H24.
% 8.54/8.74 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.74 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H277].
% 8.54/8.74 congruence.
% 8.54/8.74 exact (zenon_H277 zenon_H276).
% 8.54/8.74 apply zenon_H3f. apply refl_equal.
% 8.54/8.74 apply zenon_H58. apply refl_equal.
% 8.54/8.74 apply zenon_H58. apply refl_equal.
% 8.54/8.74 (* end of lemma zenon_L341_ *)
% 8.54/8.74 assert (zenon_L342_ : (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H4c zenon_H3c zenon_H99.
% 8.54/8.74 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H4c.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H3c.
% 8.54/8.74 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.74 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 8.54/8.74 congruence.
% 8.54/8.74 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H4e | zenon_intro zenon_H4f ].
% 8.54/8.74 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H2e5.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H4e.
% 8.54/8.74 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 8.54/8.74 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2e6].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H2e7].
% 8.54/8.74 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.74 congruence.
% 8.54/8.74 apply zenon_H4b. apply refl_equal.
% 8.54/8.74 exact (zenon_H2e7 zenon_H99).
% 8.54/8.74 apply zenon_H4f. apply refl_equal.
% 8.54/8.74 apply zenon_H4f. apply refl_equal.
% 8.54/8.74 apply zenon_H4b. apply refl_equal.
% 8.54/8.74 (* end of lemma zenon_L342_ *)
% 8.54/8.74 assert (zenon_L343_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H30 zenon_Hd6 zenon_H67.
% 8.54/8.74 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H68 | zenon_intro zenon_H40 ].
% 8.54/8.74 cut (((e1) = (e1)) = ((e0) = (e1))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H67.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H68.
% 8.54/8.74 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.74 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H69.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H30.
% 8.54/8.74 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.74 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 8.54/8.74 congruence.
% 8.54/8.74 exact (zenon_H2b4 zenon_Hd6).
% 8.54/8.74 apply zenon_H3f. apply refl_equal.
% 8.54/8.74 apply zenon_H40. apply refl_equal.
% 8.54/8.74 apply zenon_H40. apply refl_equal.
% 8.54/8.74 (* end of lemma zenon_L343_ *)
% 8.54/8.74 assert (zenon_L344_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (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) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_H170 zenon_H1f6 zenon_H22d zenon_H1d3 zenon_Hc2 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H12b zenon_H124 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H145 zenon_Hb7 zenon_H6c zenon_H1a9 zenon_Ha3 zenon_H143 zenon_H2a zenon_H74 zenon_H25 zenon_H150 zenon_H30 zenon_H67.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.74 apply (zenon_L339_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.74 apply (zenon_L18_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.54/8.74 apply (zenon_L19_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.54/8.74 apply (zenon_L20_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.54/8.74 apply (zenon_L261_); trivial.
% 8.54/8.74 apply (zenon_L158_); trivial.
% 8.54/8.74 apply (zenon_L343_); trivial.
% 8.54/8.74 (* end of lemma zenon_L344_ *)
% 8.54/8.74 assert (zenon_L345_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H285 zenon_H67 zenon_H150 zenon_H25 zenon_H74 zenon_H2a zenon_Ha3 zenon_H6c zenon_Hb7 zenon_H145 zenon_H2bf zenon_H2a5 zenon_H2d4 zenon_H29f zenon_H2d2 zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2d8 zenon_H109 zenon_H2a3 zenon_H127 zenon_Ha8 zenon_H2df zenon_H1d9 zenon_H153 zenon_Hb4 zenon_H36 zenon_H124 zenon_H12b zenon_H11f zenon_H1d7 zenon_H197 zenon_H129 zenon_H22e zenon_H31 zenon_Hab zenon_H2b zenon_H7d zenon_Hc2 zenon_H1d3 zenon_H22d zenon_H1f6 zenon_H170 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H27f zenon_H1a9 zenon_H173 zenon_H137 zenon_H66 zenon_H192 zenon_H282 zenon_H3b zenon_H78 zenon_Hff zenon_H30.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.54/8.74 apply (zenon_L344_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.54/8.74 apply (zenon_L252_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.54/8.74 apply (zenon_L40_); trivial.
% 8.54/8.74 apply (zenon_L91_); trivial.
% 8.54/8.74 (* end of lemma zenon_L345_ *)
% 8.54/8.74 assert (zenon_L346_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H3b zenon_H99 zenon_Ha8.
% 8.54/8.74 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.74 cut (((e3) = (e3)) = ((e2) = (e3))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_Ha8.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_Ha4.
% 8.54/8.74 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.74 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e2) (e2)) = (e2)) = ((e3) = (e2))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_Ha9.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H3b.
% 8.54/8.74 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.74 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H2e7].
% 8.54/8.74 congruence.
% 8.54/8.74 exact (zenon_H2e7 zenon_H99).
% 8.54/8.74 apply zenon_H4b. apply refl_equal.
% 8.54/8.74 apply zenon_H58. apply refl_equal.
% 8.54/8.74 apply zenon_H58. apply refl_equal.
% 8.54/8.74 (* end of lemma zenon_L346_ *)
% 8.54/8.74 assert (zenon_L347_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H2e8 zenon_Ha3 zenon_H71 zenon_H93 zenon_Ha8 zenon_H3b zenon_H170 zenon_H1a9.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.54/8.74 apply (zenon_L245_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.54/8.74 apply (zenon_L32_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.54/8.74 apply (zenon_L346_); trivial.
% 8.54/8.74 apply (zenon_L167_); trivial.
% 8.54/8.74 (* end of lemma zenon_L347_ *)
% 8.54/8.74 assert (zenon_L348_ : (~((op (op (e3) (e3)) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e1)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H2eb zenon_He5.
% 8.54/8.74 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.74 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2ec].
% 8.54/8.74 congruence.
% 8.54/8.74 exact (zenon_H2ec zenon_He5).
% 8.54/8.74 apply zenon_H58. apply refl_equal.
% 8.54/8.74 (* end of lemma zenon_L348_ *)
% 8.54/8.74 assert (zenon_L349_ : ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((e2) = (op (op (e3) (e3)) (e3)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H108 zenon_He5 zenon_H111.
% 8.54/8.74 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e2) = (op (op (e3) (e3)) (e3)))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H111.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_Hd8.
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e1) (e3)) = (e2)) = ((op (op (e3) (e3)) (e3)) = (e2))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H112.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H108.
% 8.54/8.74 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.74 cut (((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 8.54/8.74 congruence.
% 8.54/8.74 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H2ed.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_Hd8.
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2eb].
% 8.54/8.74 congruence.
% 8.54/8.74 apply (zenon_L348_); trivial.
% 8.54/8.74 apply zenon_Hd9. apply refl_equal.
% 8.54/8.74 apply zenon_Hd9. apply refl_equal.
% 8.54/8.74 apply zenon_H4b. apply refl_equal.
% 8.54/8.74 apply zenon_Hd9. apply refl_equal.
% 8.54/8.74 apply zenon_Hd9. apply refl_equal.
% 8.54/8.74 (* end of lemma zenon_L349_ *)
% 8.54/8.74 assert (zenon_L350_ : ((op (e2) (e1)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H165 zenon_H108 zenon_He5.
% 8.54/8.74 apply (zenon_notand_s _ _ ax16); [ zenon_intro zenon_He6 | zenon_intro zenon_H2ee ].
% 8.54/8.74 apply zenon_He6. apply sym_equal. exact zenon_He5.
% 8.54/8.74 apply (zenon_notand_s _ _ zenon_H2ee); [ zenon_intro zenon_H2ef | zenon_intro zenon_H111 ].
% 8.54/8.74 elim (classic ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_Hdf | zenon_intro zenon_He0 ].
% 8.54/8.74 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) = ((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H2ef.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_Hdf.
% 8.54/8.74 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 8.54/8.74 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e2) (e1)) = (e0)) = ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (e0))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H2f0.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H165.
% 8.54/8.74 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.74 cut (((op (e2) (e1)) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 8.54/8.74 congruence.
% 8.54/8.74 elim (classic ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_Hdf | zenon_intro zenon_He0 ].
% 8.54/8.74 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) = ((op (e2) (e1)) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H2f1.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_Hdf.
% 8.54/8.74 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 8.54/8.74 cut (((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2ec].
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e1) (e3)) = (e2)) = ((op (op (e3) (e3)) (e3)) = (e2))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H112.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H108.
% 8.54/8.74 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.74 cut (((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 8.54/8.74 congruence.
% 8.54/8.74 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd9 ].
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H2ed.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_Hd8.
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 8.54/8.74 cut (((op (op (e3) (e3)) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2eb].
% 8.54/8.74 congruence.
% 8.54/8.74 apply (zenon_L348_); trivial.
% 8.54/8.74 apply zenon_Hd9. apply refl_equal.
% 8.54/8.74 apply zenon_Hd9. apply refl_equal.
% 8.54/8.74 apply zenon_H4b. apply refl_equal.
% 8.54/8.74 exact (zenon_H2ec zenon_He5).
% 8.54/8.74 apply zenon_He0. apply refl_equal.
% 8.54/8.74 apply zenon_He0. apply refl_equal.
% 8.54/8.74 apply zenon_H3f. apply refl_equal.
% 8.54/8.74 apply zenon_He0. apply refl_equal.
% 8.54/8.74 apply zenon_He0. apply refl_equal.
% 8.54/8.74 apply (zenon_L349_); trivial.
% 8.54/8.74 (* end of lemma zenon_L350_ *)
% 8.54/8.74 assert (zenon_L351_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_Hf9 zenon_H1a9 zenon_Ha3 zenon_H2a zenon_Hf3 zenon_H71 zenon_H29f zenon_H165 zenon_H108.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.54/8.74 apply (zenon_L158_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.54/8.74 apply (zenon_L56_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.54/8.74 apply (zenon_L266_); trivial.
% 8.54/8.74 apply (zenon_L350_); trivial.
% 8.54/8.74 (* end of lemma zenon_L351_ *)
% 8.54/8.74 assert (zenon_L352_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (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) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H282 zenon_H192 zenon_H137 zenon_H173 zenon_H27f zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_H1f6 zenon_H22d zenon_H1d3 zenon_Hc2 zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H12b zenon_H124 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_H127 zenon_H2a3 zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H145 zenon_Hb7 zenon_H6c zenon_H1a9 zenon_Ha3 zenon_H10c zenon_Hac zenon_H7d zenon_H170 zenon_Ha8 zenon_H2e8 zenon_H285 zenon_H29f zenon_Hf3 zenon_H2a zenon_Hf9 zenon_H3b zenon_H78 zenon_Hff zenon_H74 zenon_H25 zenon_H150 zenon_H30 zenon_H67.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.74 apply (zenon_L345_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.74 apply (zenon_L18_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.54/8.74 apply (zenon_L19_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.54/8.74 apply (zenon_L20_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.74 apply (zenon_L305_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.74 apply (zenon_L46_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.74 apply (zenon_L347_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.54/8.74 apply (zenon_L261_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.54/8.74 apply (zenon_L351_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.54/8.74 apply (zenon_L40_); trivial.
% 8.54/8.74 apply (zenon_L91_); trivial.
% 8.54/8.74 apply (zenon_L158_); trivial.
% 8.54/8.74 apply (zenon_L343_); trivial.
% 8.54/8.74 (* end of lemma zenon_L352_ *)
% 8.54/8.74 assert (zenon_L353_ : (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (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) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_Hc2 zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_H170 zenon_H1f6 zenon_H22d zenon_H1d3 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H11f zenon_H12b zenon_H124 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H145 zenon_Hb7 zenon_H6c zenon_Ha3 zenon_H74 zenon_H25 zenon_H150 zenon_H67 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H10c zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H78 zenon_H2a2 zenon_H36 zenon_H2a zenon_H3b zenon_H3a zenon_H1d7 zenon_H1a9.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.74 apply (zenon_L4_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.74 apply (zenon_L352_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.74 apply (zenon_L344_); trivial.
% 8.54/8.74 apply (zenon_L133_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.74 apply (zenon_L5_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.74 apply (zenon_L6_); trivial.
% 8.54/8.74 apply (zenon_L169_); trivial.
% 8.54/8.74 (* end of lemma zenon_L353_ *)
% 8.54/8.74 assert (zenon_L354_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H2f3 zenon_Hd0 zenon_H16d zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2b8 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_H145 zenon_Hb7 zenon_H6c zenon_Ha3 zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H10c zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H78 zenon_H2a2 zenon_H3a zenon_H170 zenon_H1f6 zenon_H22d zenon_Hc2 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H67 zenon_H12b zenon_H124 zenon_H25 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H1d3 zenon_H1a9.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f4 ].
% 8.54/8.74 apply (zenon_L302_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2a | zenon_intro zenon_H2f5 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.74 apply (zenon_L303_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.74 apply (zenon_L5_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.74 apply (zenon_L2_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.54/8.74 apply (zenon_L304_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.54/8.74 apply (zenon_L305_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.54/8.74 apply (zenon_L75_); trivial.
% 8.54/8.74 apply (zenon_L306_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.74 apply (zenon_L340_); trivial.
% 8.54/8.74 apply (zenon_L133_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.74 apply (zenon_L2_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.74 apply (zenon_L305_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.74 apply (zenon_L46_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.74 apply (zenon_L97_); trivial.
% 8.54/8.74 apply (zenon_L63_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.74 apply (zenon_L340_); trivial.
% 8.54/8.74 apply (zenon_L133_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.74 apply (zenon_L2_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.74 apply (zenon_L305_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.74 apply (zenon_L46_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.54/8.74 apply (zenon_L341_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.54/8.74 apply (zenon_L32_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.54/8.74 apply (zenon_L342_); trivial.
% 8.54/8.74 apply (zenon_L167_); trivial.
% 8.54/8.74 apply (zenon_L63_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.74 apply (zenon_L100_); trivial.
% 8.54/8.74 apply (zenon_L133_); trivial.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.74 apply (zenon_L2_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.74 apply (zenon_L303_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.74 apply (zenon_L105_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.74 apply (zenon_L65_); trivial.
% 8.54/8.74 apply (zenon_L264_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.74 apply (zenon_L340_); trivial.
% 8.54/8.74 apply (zenon_L133_); trivial.
% 8.54/8.74 apply (zenon_L169_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.54/8.74 apply (zenon_L3_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.54/8.74 apply (zenon_L353_); trivial.
% 8.54/8.74 apply (zenon_L167_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1b1 ].
% 8.54/8.74 apply (zenon_L337_); trivial.
% 8.54/8.74 apply (zenon_L165_); trivial.
% 8.54/8.74 (* end of lemma zenon_L354_ *)
% 8.54/8.74 assert (zenon_L355_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1e2 zenon_H2f3 zenon_Hd0 zenon_H16d zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2b8 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_H145 zenon_Hb7 zenon_H6c zenon_Ha3 zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H10c zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H78 zenon_H2a2 zenon_H3a zenon_H170 zenon_H1f6 zenon_H22d zenon_Hc2 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H67 zenon_H12b zenon_H124 zenon_H25 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H1d3.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H35. zenon_intro zenon_H1e3.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_Hf4. zenon_intro zenon_H1ad.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.54/8.74 apply (zenon_L354_); trivial.
% 8.54/8.74 (* end of lemma zenon_L355_ *)
% 8.54/8.74 assert (zenon_L356_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1e4 zenon_Ha3.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H35. zenon_intro zenon_H1e5.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hf4. zenon_intro zenon_H1b0.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.54/8.74 apply (zenon_L124_); trivial.
% 8.54/8.74 (* end of lemma zenon_L356_ *)
% 8.54/8.74 assert (zenon_L357_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1e8 zenon_Heb zenon_H98.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H35. zenon_intro zenon_H1e9.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Hf4. zenon_intro zenon_H1b6.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.54/8.74 apply (zenon_L53_); trivial.
% 8.54/8.74 (* end of lemma zenon_L357_ *)
% 8.54/8.74 assert (zenon_L358_ : ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H98 zenon_Ha7 zenon_H2d2.
% 8.54/8.74 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 8.54/8.74 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H2d2.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H9b.
% 8.54/8.74 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.54/8.74 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e1) (e2)))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_H2f6.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H98.
% 8.54/8.74 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 8.54/8.74 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.54/8.74 congruence.
% 8.54/8.74 apply zenon_H9c. apply refl_equal.
% 8.54/8.74 apply zenon_H2f7. apply sym_equal. exact zenon_Ha7.
% 8.54/8.74 apply zenon_H9c. apply refl_equal.
% 8.54/8.74 apply zenon_H9c. apply refl_equal.
% 8.54/8.74 (* end of lemma zenon_L358_ *)
% 8.54/8.74 assert (zenon_L359_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H2f8 zenon_Hac zenon_Hab zenon_H35 zenon_H129 zenon_H7e zenon_H134 zenon_H98 zenon_H2d2.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Had | zenon_intro zenon_H2f9 ].
% 8.54/8.74 apply (zenon_L33_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H29 | zenon_intro zenon_H2fa ].
% 8.54/8.74 apply (zenon_L74_); trivial.
% 8.54/8.74 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha7 ].
% 8.54/8.74 apply (zenon_L86_); trivial.
% 8.54/8.74 apply (zenon_L358_); trivial.
% 8.54/8.74 (* end of lemma zenon_L359_ *)
% 8.54/8.74 assert (zenon_L360_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1ec zenon_H2f8 zenon_Hab zenon_H35 zenon_H129 zenon_H134 zenon_H98 zenon_H2d2.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_Hc8. zenon_intro zenon_H1ed.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H7e. zenon_intro zenon_H17a.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.74 apply (zenon_L359_); trivial.
% 8.54/8.74 (* end of lemma zenon_L360_ *)
% 8.54/8.74 assert (zenon_L361_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1f0 zenon_H118.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Hc8. zenon_intro zenon_H1f1.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H7e. zenon_intro zenon_H180.
% 8.54/8.74 apply (zenon_L70_); trivial.
% 8.54/8.74 (* end of lemma zenon_L361_ *)
% 8.54/8.74 assert (zenon_L362_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1f4 zenon_Hc8 zenon_H192.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H191. zenon_intro zenon_H1f5.
% 8.54/8.74 apply (zenon_L125_); trivial.
% 8.54/8.74 (* end of lemma zenon_L362_ *)
% 8.54/8.74 assert (zenon_L363_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((e1) = (e2))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1f9 zenon_H7d.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H191. zenon_intro zenon_H1fa.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H93. zenon_intro zenon_H189.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.74 apply (zenon_L161_); trivial.
% 8.54/8.74 (* end of lemma zenon_L363_ *)
% 8.54/8.74 assert (zenon_L364_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((e1) = (e2))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1f9 zenon_H7d.
% 8.54/8.74 apply (zenon_L363_); trivial.
% 8.54/8.74 (* end of lemma zenon_L364_ *)
% 8.54/8.74 assert (zenon_L365_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H1fb zenon_Hc8 zenon_H192.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H191. zenon_intro zenon_H1fc.
% 8.54/8.74 apply (zenon_L125_); trivial.
% 8.54/8.74 (* end of lemma zenon_L365_ *)
% 8.54/8.74 assert (zenon_L366_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H201 zenon_Hc8 zenon_H173.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H3b. zenon_intro zenon_H202.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H3b. zenon_intro zenon_H1a5.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.54/8.74 apply (zenon_L112_); trivial.
% 8.54/8.74 (* end of lemma zenon_L366_ *)
% 8.54/8.74 assert (zenon_L367_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H207 zenon_Hc8 zenon_H12b.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H3c. zenon_intro zenon_H208.
% 8.54/8.74 apply (zenon_L75_); trivial.
% 8.54/8.74 (* end of lemma zenon_L367_ *)
% 8.54/8.74 assert (zenon_L368_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H3c zenon_H195 zenon_Ha8.
% 8.54/8.74 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.74 cut (((e3) = (e3)) = ((e2) = (e3))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_Ha8.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_Ha4.
% 8.54/8.74 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.74 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 8.54/8.74 congruence.
% 8.54/8.74 cut (((op (e2) (e3)) = (e2)) = ((e3) = (e2))).
% 8.54/8.74 intro zenon_D_pnotp.
% 8.54/8.74 apply zenon_Ha9.
% 8.54/8.74 rewrite <- zenon_D_pnotp.
% 8.54/8.74 exact zenon_H3c.
% 8.54/8.74 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.74 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 8.54/8.74 congruence.
% 8.54/8.74 exact (zenon_H2fb zenon_H195).
% 8.54/8.74 apply zenon_H4b. apply refl_equal.
% 8.54/8.74 apply zenon_H58. apply refl_equal.
% 8.54/8.74 apply zenon_H58. apply refl_equal.
% 8.54/8.74 (* end of lemma zenon_L368_ *)
% 8.54/8.74 assert (zenon_L369_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H209 zenon_Ha8.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H3c. zenon_intro zenon_H20a.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_Hbd. zenon_intro zenon_H1d6.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.74 apply (zenon_L368_); trivial.
% 8.54/8.74 (* end of lemma zenon_L369_ *)
% 8.54/8.74 assert (zenon_L370_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.54/8.74 do 0 intro. intros zenon_H20b zenon_Heb zenon_H98.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H3c. zenon_intro zenon_H20c.
% 8.54/8.74 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_Hbd. zenon_intro zenon_H1b6.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.54/8.75 apply (zenon_L53_); trivial.
% 8.54/8.75 (* end of lemma zenon_L370_ *)
% 8.54/8.75 assert (zenon_L371_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H211 zenon_H78 zenon_Hc8.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1a9. zenon_intro zenon_H212.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H103. zenon_intro zenon_H17d.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.75 apply (zenon_L83_); trivial.
% 8.54/8.75 (* end of lemma zenon_L371_ *)
% 8.54/8.75 assert (zenon_L372_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H213 zenon_Hc2.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1a9. zenon_intro zenon_H214.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H103. zenon_intro zenon_H180.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.75 apply (zenon_L201_); trivial.
% 8.54/8.75 (* end of lemma zenon_L372_ *)
% 8.54/8.75 assert (zenon_L373_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H213 zenon_Hc2.
% 8.54/8.75 apply (zenon_L372_); trivial.
% 8.54/8.75 (* end of lemma zenon_L373_ *)
% 8.54/8.75 assert (zenon_L374_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H215 zenon_H35 zenon_Hb4.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_Hb3. zenon_intro zenon_H183.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.54/8.75 apply (zenon_L119_); trivial.
% 8.54/8.75 (* end of lemma zenon_L374_ *)
% 8.54/8.75 assert (zenon_L375_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1d9 zenon_H1b1 zenon_H98.
% 8.54/8.75 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H1d9.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H1b1.
% 8.54/8.75 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 8.54/8.75 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.54/8.75 congruence.
% 8.54/8.75 apply zenon_H2cc. apply refl_equal.
% 8.54/8.75 apply zenon_H1d5. apply sym_equal. exact zenon_H98.
% 8.54/8.75 (* end of lemma zenon_L375_ *)
% 8.54/8.75 assert (zenon_L376_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H217 zenon_H1d9 zenon_H98.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1b1. zenon_intro zenon_H218.
% 8.54/8.75 apply (zenon_L375_); trivial.
% 8.54/8.75 (* end of lemma zenon_L376_ *)
% 8.54/8.75 assert (zenon_L377_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H219 zenon_H129 zenon_H35.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H1b1. zenon_intro zenon_H21a.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Hb3. zenon_intro zenon_H189.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.75 apply (zenon_L74_); trivial.
% 8.54/8.75 (* end of lemma zenon_L377_ *)
% 8.54/8.75 assert (zenon_L378_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H21b zenon_Ha3.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1b1. zenon_intro zenon_H21c.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_Hb3. zenon_intro zenon_H1c7.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.75 apply (zenon_L124_); trivial.
% 8.54/8.75 (* end of lemma zenon_L378_ *)
% 8.54/8.75 assert (zenon_L379_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H21d zenon_H118.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H98. zenon_intro zenon_H21e.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H195. zenon_intro zenon_H19f.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.54/8.75 apply (zenon_L70_); trivial.
% 8.54/8.75 (* end of lemma zenon_L379_ *)
% 8.54/8.75 assert (zenon_L380_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H21f zenon_Hc8 zenon_H192.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H98. zenon_intro zenon_H220.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H195. zenon_intro zenon_H1a2.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.54/8.75 apply (zenon_L125_); trivial.
% 8.54/8.75 (* end of lemma zenon_L380_ *)
% 8.54/8.75 assert (zenon_L381_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H221 zenon_Hc8 zenon_H173.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H98. zenon_intro zenon_H222.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H195. zenon_intro zenon_H1a5.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.54/8.75 apply (zenon_L112_); trivial.
% 8.54/8.75 (* end of lemma zenon_L381_ *)
% 8.54/8.75 assert (zenon_L382_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H223 zenon_Ha8.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H98. zenon_intro zenon_H224.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H195. zenon_intro zenon_H1a8.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.54/8.75 apply (zenon_L368_); trivial.
% 8.54/8.75 (* end of lemma zenon_L382_ *)
% 8.54/8.75 assert (zenon_L383_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H225 zenon_H1d7.
% 8.54/8.75 apply (zenon_L235_); trivial.
% 8.54/8.75 (* end of lemma zenon_L383_ *)
% 8.54/8.75 assert (zenon_L384_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H2fc zenon_H1b1 zenon_H5a.
% 8.54/8.75 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H2fc.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H1b1.
% 8.54/8.75 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 8.54/8.75 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.54/8.75 congruence.
% 8.54/8.75 apply zenon_H2cc. apply refl_equal.
% 8.54/8.75 apply zenon_Hec. apply sym_equal. exact zenon_H5a.
% 8.54/8.75 (* end of lemma zenon_L384_ *)
% 8.54/8.75 assert (zenon_L385_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H227 zenon_H2fc.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H5a. zenon_intro zenon_H228.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H5a. zenon_intro zenon_H1b0.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.54/8.75 apply (zenon_L384_); trivial.
% 8.54/8.75 (* end of lemma zenon_L385_ *)
% 8.54/8.75 assert (zenon_L386_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H227 zenon_H2fc.
% 8.54/8.75 apply (zenon_L385_); trivial.
% 8.54/8.75 (* end of lemma zenon_L386_ *)
% 8.54/8.75 assert (zenon_L387_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H229 zenon_Heb.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H5a. zenon_intro zenon_H22a.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H5a. zenon_intro zenon_H1d6.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.75 apply (zenon_L53_); trivial.
% 8.54/8.75 (* end of lemma zenon_L387_ *)
% 8.54/8.75 assert (zenon_L388_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H22b zenon_Heb zenon_H98.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H5a. zenon_intro zenon_H22c.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H5a. zenon_intro zenon_H1b6.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.54/8.75 apply (zenon_L53_); trivial.
% 8.54/8.75 (* end of lemma zenon_L388_ *)
% 8.54/8.75 assert (zenon_L389_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1d1 zenon_H49.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d. zenon_intro zenon_H1d2.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_Hac. zenon_intro zenon_H1c7.
% 8.54/8.75 apply (zenon_L82_); trivial.
% 8.54/8.75 (* end of lemma zenon_L389_ *)
% 8.54/8.75 assert (zenon_L390_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1c8 zenon_H129 zenon_H35.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.54/8.75 apply (zenon_L74_); trivial.
% 8.54/8.75 (* end of lemma zenon_L390_ *)
% 8.54/8.75 assert (zenon_L391_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_H7e zenon_H153 zenon_Hff zenon_H195.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.54/8.75 apply (zenon_L91_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.54/8.75 apply (zenon_L246_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.54/8.75 apply (zenon_L96_); trivial.
% 8.54/8.75 apply (zenon_L324_); trivial.
% 8.54/8.75 (* end of lemma zenon_L391_ *)
% 8.54/8.75 assert (zenon_L392_ : (((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 (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H105 zenon_Hd4 zenon_He4 zenon_H31 zenon_H66 zenon_H7e zenon_H153 zenon_Hff zenon_H195.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.54/8.75 apply (zenon_L66_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.54/8.75 apply (zenon_L87_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.54/8.75 apply (zenon_L96_); trivial.
% 8.54/8.75 apply (zenon_L324_); trivial.
% 8.54/8.75 (* end of lemma zenon_L392_ *)
% 8.54/8.75 assert (zenon_L393_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (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) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H11f zenon_H1d zenon_H127 zenon_H67 zenon_H35 zenon_Hd0 zenon_H105 zenon_He4 zenon_H31 zenon_H66 zenon_H7e zenon_H153 zenon_Hff zenon_H195.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.75 apply (zenon_L73_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.75 apply (zenon_L263_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.75 apply (zenon_L391_); trivial.
% 8.54/8.75 apply (zenon_L392_); trivial.
% 8.54/8.75 (* end of lemma zenon_L393_ *)
% 8.54/8.75 assert (zenon_L394_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H30 zenon_Hfe zenon_H78.
% 8.54/8.75 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.54/8.75 cut (((e2) = (e2)) = ((e0) = (e2))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H78.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H79.
% 8.54/8.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.75 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H7a.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H30.
% 8.54/8.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.75 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 8.54/8.75 congruence.
% 8.54/8.75 exact (zenon_H13d zenon_Hfe).
% 8.54/8.75 apply zenon_H3f. apply refl_equal.
% 8.54/8.75 apply zenon_H4b. apply refl_equal.
% 8.54/8.75 apply zenon_H4b. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L394_ *)
% 8.54/8.75 assert (zenon_L395_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H15a zenon_H196 zenon_Ha3.
% 8.54/8.75 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.75 cut (((e3) = (e3)) = ((e1) = (e3))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_Ha3.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_Ha4.
% 8.54/8.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.75 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e2) (e1)) = (e1)) = ((e3) = (e1))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_Ha5.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H15a.
% 8.54/8.75 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.75 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 8.54/8.75 congruence.
% 8.54/8.75 exact (zenon_H2db zenon_H196).
% 8.54/8.75 apply zenon_H40. apply refl_equal.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L395_ *)
% 8.54/8.75 assert (zenon_L396_ : (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H7d zenon_H3b zenon_H91.
% 8.54/8.75 cut (((op (e2) (e2)) = (e2)) = ((e1) = (e2))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H7d.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H3b.
% 8.54/8.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.75 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2de].
% 8.54/8.75 congruence.
% 8.54/8.75 exact (zenon_H2de zenon_H91).
% 8.54/8.75 apply zenon_H4b. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L396_ *)
% 8.54/8.75 assert (zenon_L397_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H134 zenon_H24 zenon_Had.
% 8.54/8.75 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H134.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H24.
% 8.54/8.75 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 8.54/8.75 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.54/8.75 congruence.
% 8.54/8.75 apply zenon_H27. apply refl_equal.
% 8.54/8.75 apply zenon_Hae. apply sym_equal. exact zenon_Had.
% 8.54/8.75 (* end of lemma zenon_L397_ *)
% 8.54/8.75 assert (zenon_L398_ : ((op (e3) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_Hbd zenon_H7e zenon_H29f.
% 8.54/8.75 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 8.54/8.75 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H29f.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H9b.
% 8.54/8.75 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.54/8.75 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2fd].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e0) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H2fd.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_Hbd.
% 8.54/8.75 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2fe].
% 8.54/8.75 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.54/8.75 congruence.
% 8.54/8.75 apply zenon_H9c. apply refl_equal.
% 8.54/8.75 apply zenon_H2fe. apply sym_equal. exact zenon_H7e.
% 8.54/8.75 apply zenon_H9c. apply refl_equal.
% 8.54/8.75 apply zenon_H9c. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L398_ *)
% 8.54/8.75 assert (zenon_L399_ : ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H98 zenon_H276 zenon_H29f.
% 8.54/8.75 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 8.54/8.75 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H29f.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H9b.
% 8.54/8.75 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.54/8.75 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2fd].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e0) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H2fd.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H98.
% 8.54/8.75 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2ff].
% 8.54/8.75 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 8.54/8.75 congruence.
% 8.54/8.75 apply zenon_H9c. apply refl_equal.
% 8.54/8.75 apply zenon_H2ff. apply sym_equal. exact zenon_H276.
% 8.54/8.75 apply zenon_H9c. apply refl_equal.
% 8.54/8.75 apply zenon_H9c. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L399_ *)
% 8.54/8.75 assert (zenon_L400_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H300 zenon_Had zenon_H134 zenon_H25 zenon_H66 zenon_Hbd zenon_H98 zenon_H29f.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H24 | zenon_intro zenon_H301 ].
% 8.54/8.75 apply (zenon_L397_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H71 | zenon_intro zenon_H302 ].
% 8.54/8.75 apply (zenon_L19_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7e | zenon_intro zenon_H276 ].
% 8.54/8.75 apply (zenon_L398_); trivial.
% 8.54/8.75 apply (zenon_L399_); trivial.
% 8.54/8.75 (* end of lemma zenon_L400_ *)
% 8.54/8.75 assert (zenon_L401_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_Hbf zenon_H195 zenon_Hff zenon_H153 zenon_H35 zenon_Hd0 zenon_H10f zenon_H105 zenon_H154 zenon_H91 zenon_H7d zenon_H300 zenon_Had zenon_H134 zenon_H25 zenon_H66 zenon_H98 zenon_H29f.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.54/8.75 apply (zenon_L391_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.54/8.75 apply (zenon_L97_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.54/8.75 apply (zenon_L396_); trivial.
% 8.54/8.75 apply (zenon_L400_); trivial.
% 8.54/8.75 (* end of lemma zenon_L401_ *)
% 8.54/8.75 assert (zenon_L402_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H303 zenon_Hc8 zenon_Ha3 zenon_H196 zenon_H29f zenon_H98 zenon_H66 zenon_H25 zenon_H134 zenon_Had zenon_H300 zenon_H7d zenon_H154 zenon_H105 zenon_H10f zenon_Hd0 zenon_H153 zenon_Hff zenon_H195 zenon_Hbf zenon_H109 zenon_H35.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.54/8.75 apply (zenon_L44_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.54/8.75 apply (zenon_L395_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.54/8.75 apply (zenon_L401_); trivial.
% 8.54/8.75 apply (zenon_L106_); trivial.
% 8.54/8.75 (* end of lemma zenon_L402_ *)
% 8.54/8.75 assert (zenon_L403_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H90 zenon_H24 zenon_H80.
% 8.54/8.75 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H90.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H24.
% 8.54/8.75 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 8.54/8.75 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.54/8.75 congruence.
% 8.54/8.75 apply zenon_H27. apply refl_equal.
% 8.54/8.75 apply zenon_H89. apply sym_equal. exact zenon_H80.
% 8.54/8.75 (* end of lemma zenon_L403_ *)
% 8.54/8.75 assert (zenon_L404_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H150 zenon_H25 zenon_H71 zenon_Hb4 zenon_H35 zenon_Hc8 zenon_H7d zenon_H14e zenon_H67.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.54/8.75 apply (zenon_L19_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.54/8.75 apply (zenon_L119_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.54/8.75 apply (zenon_L44_); trivial.
% 8.54/8.75 apply (zenon_L94_); trivial.
% 8.54/8.75 (* end of lemma zenon_L404_ *)
% 8.54/8.75 assert (zenon_L405_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (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) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_Hc5 zenon_H124 zenon_H1d zenon_H109 zenon_Hbf zenon_H154 zenon_H134 zenon_H66 zenon_H196 zenon_Ha3 zenon_H303 zenon_H29f zenon_H98 zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_H153 zenon_Hff zenon_H195 zenon_H150 zenon_H25 zenon_Hb4 zenon_Hc8 zenon_H7d zenon_H67 zenon_H90 zenon_H300 zenon_H170 zenon_H14e.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.54/8.75 apply (zenon_L72_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.54/8.75 apply (zenon_L402_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H24 | zenon_intro zenon_H301 ].
% 8.54/8.75 apply (zenon_L403_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H71 | zenon_intro zenon_H302 ].
% 8.54/8.75 apply (zenon_L404_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7e | zenon_intro zenon_H276 ].
% 8.54/8.75 apply (zenon_L391_); trivial.
% 8.54/8.75 apply (zenon_L399_); trivial.
% 8.54/8.75 apply (zenon_L111_); trivial.
% 8.54/8.75 (* end of lemma zenon_L405_ *)
% 8.54/8.75 assert (zenon_L406_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1f0 zenon_H127 zenon_H1d.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Hc8. zenon_intro zenon_H1f1.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H7e. zenon_intro zenon_H180.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.75 apply (zenon_L73_); trivial.
% 8.54/8.75 (* end of lemma zenon_L406_ *)
% 8.54/8.75 assert (zenon_L407_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H205 zenon_H2f3 zenon_Hd0 zenon_H16d zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2b8 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_H145 zenon_Hb7 zenon_H6c zenon_Ha3 zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H10c zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H78 zenon_H2a2 zenon_H3a zenon_H170 zenon_H1f6 zenon_H22d zenon_Hc2 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H67 zenon_H12b zenon_H124 zenon_H25 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H1d3.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Hbd. zenon_intro zenon_H1ad.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.54/8.75 apply (zenon_L354_); trivial.
% 8.54/8.75 (* end of lemma zenon_L407_ *)
% 8.54/8.75 assert (zenon_L408_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H217 zenon_H35 zenon_H36.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1b1. zenon_intro zenon_H218.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hb3. zenon_intro zenon_H186.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.54/8.75 apply (zenon_L5_); trivial.
% 8.54/8.75 (* end of lemma zenon_L408_ *)
% 8.54/8.75 assert (zenon_L409_ : (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H57 zenon_H195.
% 8.54/8.75 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (op (e2) (e3))) = (e3))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H57.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H195.
% 8.54/8.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.75 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 8.54/8.75 congruence.
% 8.54/8.75 elim (classic ((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [ zenon_intro zenon_H307 | zenon_intro zenon_H308 ].
% 8.54/8.75 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e3))))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H306.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H307.
% 8.54/8.75 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 8.54/8.75 cut (((op (e2) (op (e2) (e3))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 8.54/8.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.75 congruence.
% 8.54/8.75 apply zenon_H4b. apply refl_equal.
% 8.54/8.75 exact (zenon_H2fb zenon_H195).
% 8.54/8.75 apply zenon_H308. apply refl_equal.
% 8.54/8.75 apply zenon_H308. apply refl_equal.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L409_ *)
% 8.54/8.75 assert (zenon_L410_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1b2 zenon_H57.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H30. zenon_intro zenon_H1b3.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H14e. zenon_intro zenon_H1d6.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.75 apply (zenon_L409_); trivial.
% 8.54/8.75 (* end of lemma zenon_L410_ *)
% 8.54/8.75 assert (zenon_L411_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1c8 zenon_H56.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.54/8.75 apply (zenon_L99_); trivial.
% 8.54/8.75 (* end of lemma zenon_L411_ *)
% 8.54/8.75 assert (zenon_L412_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1e6 zenon_H57.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H35. zenon_intro zenon_H1e7.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Hf4. zenon_intro zenon_H1d6.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.75 apply (zenon_L409_); trivial.
% 8.54/8.75 (* end of lemma zenon_L412_ *)
% 8.54/8.75 assert (zenon_L413_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H20f zenon_H2bf zenon_H1dc zenon_H1dd zenon_H169 zenon_H2c0 zenon_H1d9 zenon_H2b8 zenon_H2b5 zenon_H109 zenon_H197 zenon_H22e zenon_H31 zenon_Hab zenon_H2b zenon_H7d zenon_H129 zenon_H1f6 zenon_H124 zenon_H1d7 zenon_H3a zenon_H2a5 zenon_H2a4 zenon_H270 zenon_Hc2 zenon_H1d3 zenon_Hb7 zenon_H78 zenon_H192 zenon_H145 zenon_H285 zenon_H295 zenon_H2a3 zenon_Hb4 zenon_H25 zenon_H150 zenon_H1f zenon_H2a2 zenon_H2a1 zenon_H282 zenon_H12b zenon_H137 zenon_H173 zenon_H27f zenon_H127 zenon_H11f zenon_H67 zenon_H16d zenon_H29f zenon_Ha3 zenon_Hf9 zenon_Hd0 zenon_H22d zenon_H170.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H1a9. zenon_intro zenon_H210.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H103. zenon_intro zenon_H17a.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.75 apply (zenon_L302_); trivial.
% 8.54/8.75 (* end of lemma zenon_L413_ *)
% 8.54/8.75 assert (zenon_L414_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H219 zenon_H56.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H1b1. zenon_intro zenon_H21a.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Hb3. zenon_intro zenon_H189.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.75 apply (zenon_L99_); trivial.
% 8.54/8.75 (* end of lemma zenon_L414_ *)
% 8.54/8.75 assert (zenon_L415_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H21d zenon_H57.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H98. zenon_intro zenon_H21e.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H195. zenon_intro zenon_H19f.
% 8.54/8.75 apply (zenon_L409_); trivial.
% 8.54/8.75 (* end of lemma zenon_L415_ *)
% 8.54/8.75 assert (zenon_L416_ : (~((op (e3) (op (e3) (e0))) = (e0))) -> ((op (e3) (e0)) = (e0)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H62 zenon_H14e.
% 8.54/8.75 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (op (e3) (e0))) = (e0))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H62.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H14e.
% 8.54/8.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.75 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H30a].
% 8.54/8.75 congruence.
% 8.54/8.75 elim (classic ((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0))))); [ zenon_intro zenon_H30b | zenon_intro zenon_H30c ].
% 8.54/8.75 cut (((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e0))))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H30a.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H30b.
% 8.54/8.75 cut (((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H30c].
% 8.54/8.75 cut (((op (e3) (op (e3) (e0))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H30d].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e3) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 8.54/8.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.75 congruence.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 exact (zenon_H1aa zenon_H14e).
% 8.54/8.75 apply zenon_H30c. apply refl_equal.
% 8.54/8.75 apply zenon_H30c. apply refl_equal.
% 8.54/8.75 apply zenon_H3f. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L416_ *)
% 8.54/8.75 assert (zenon_L417_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H17e zenon_H62.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H1e. zenon_intro zenon_H17f.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H1e. zenon_intro zenon_H180.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.75 apply (zenon_L416_); trivial.
% 8.54/8.75 (* end of lemma zenon_L417_ *)
% 8.54/8.75 assert (zenon_L418_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1b2 zenon_H62.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H30. zenon_intro zenon_H1b3.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H14e. zenon_intro zenon_H1d6.
% 8.54/8.75 apply (zenon_L416_); trivial.
% 8.54/8.75 (* end of lemma zenon_L418_ *)
% 8.54/8.75 assert (zenon_L419_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1bd zenon_H62.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H73. zenon_intro zenon_H1be.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6b. zenon_intro zenon_H180.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.75 apply (zenon_L416_); trivial.
% 8.54/8.75 (* end of lemma zenon_L419_ *)
% 8.54/8.75 assert (zenon_L420_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H2a2 zenon_H1f zenon_H1d zenon_H2d2 zenon_H98 zenon_H134 zenon_H7e zenon_H129 zenon_H35 zenon_Hab zenon_H2f8 zenon_Hc8 zenon_H78 zenon_H62.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.75 apply (zenon_L1_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.75 apply (zenon_L359_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.75 apply (zenon_L83_); trivial.
% 8.54/8.75 apply (zenon_L416_); trivial.
% 8.54/8.75 (* end of lemma zenon_L420_ *)
% 8.54/8.75 assert (zenon_L421_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1e6 zenon_H64.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H35. zenon_intro zenon_H1e7.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Hf4. zenon_intro zenon_H1d6.
% 8.54/8.75 apply (zenon_L265_); trivial.
% 8.54/8.75 (* end of lemma zenon_L421_ *)
% 8.54/8.75 assert (zenon_L422_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1f0 zenon_H62.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Hc8. zenon_intro zenon_H1f1.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H7e. zenon_intro zenon_H180.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.75 apply (zenon_L416_); trivial.
% 8.54/8.75 (* end of lemma zenon_L422_ *)
% 8.54/8.75 assert (zenon_L423_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H207 zenon_H65.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H3c. zenon_intro zenon_H208.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Hbd. zenon_intro zenon_H1b0.
% 8.54/8.75 apply (zenon_L295_); trivial.
% 8.54/8.75 (* end of lemma zenon_L423_ *)
% 8.54/8.75 assert (zenon_L424_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H11f zenon_Hc2 zenon_H103 zenon_H35 zenon_H67 zenon_H143 zenon_H12b zenon_H59 zenon_H1a9.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.75 apply (zenon_L201_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.75 apply (zenon_L263_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.75 apply (zenon_L253_); trivial.
% 8.54/8.75 apply (zenon_L264_); trivial.
% 8.54/8.75 (* end of lemma zenon_L424_ *)
% 8.54/8.75 assert (zenon_L425_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H211 zenon_H11f zenon_Hc2 zenon_H35 zenon_H67 zenon_H12b zenon_H59.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1a9. zenon_intro zenon_H212.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H103. zenon_intro zenon_H17d.
% 8.54/8.75 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.75 apply (zenon_L424_); trivial.
% 8.54/8.75 (* end of lemma zenon_L425_ *)
% 8.54/8.75 assert (zenon_L426_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_Hac zenon_H87 zenon_Hc2.
% 8.54/8.75 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.75 cut (((e3) = (e3)) = ((e0) = (e3))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_Hc2.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_Ha4.
% 8.54/8.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.75 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e1) (e0)) = (e0)) = ((e3) = (e0))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H1f8.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_Hac.
% 8.54/8.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.75 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H30e].
% 8.54/8.75 congruence.
% 8.54/8.75 exact (zenon_H30e zenon_H87).
% 8.54/8.75 apply zenon_H3f. apply refl_equal.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L426_ *)
% 8.54/8.75 assert (zenon_L427_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_Hba zenon_Hc2 zenon_Hac zenon_Ha3 zenon_H2a zenon_Ha8 zenon_H93 zenon_H5a zenon_H16d.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.54/8.75 apply (zenon_L426_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.54/8.75 apply (zenon_L31_); trivial.
% 8.54/8.75 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.54/8.75 apply (zenon_L32_); trivial.
% 8.54/8.75 apply (zenon_L109_); trivial.
% 8.54/8.75 (* end of lemma zenon_L427_ *)
% 8.54/8.75 assert (zenon_L428_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_Hcb zenon_H274 zenon_Ha8.
% 8.54/8.75 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.75 cut (((e3) = (e3)) = ((e2) = (e3))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_Ha8.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_Ha4.
% 8.54/8.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.75 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e0) (e1)) = (e2)) = ((e3) = (e2))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_Ha9.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_Hcb.
% 8.54/8.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.75 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H275].
% 8.54/8.75 congruence.
% 8.54/8.75 exact (zenon_H275 zenon_H274).
% 8.54/8.75 apply zenon_H4b. apply refl_equal.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L428_ *)
% 8.54/8.75 assert (zenon_L429_ : (~((op (op (e2) (e2)) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H30f zenon_H91.
% 8.54/8.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.75 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2de].
% 8.54/8.75 congruence.
% 8.54/8.75 exact (zenon_H2de zenon_H91).
% 8.54/8.75 apply zenon_H4b. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L429_ *)
% 8.54/8.75 assert (zenon_L430_ : ((op (e1) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e3) = (op (op (e2) (e2)) (e2)))) -> False).
% 8.54/8.75 do 0 intro. intros zenon_Ha7 zenon_H91 zenon_H310.
% 8.54/8.75 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.54/8.75 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e3) = (op (op (e2) (e2)) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H310.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H83.
% 8.54/8.75 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.54/8.75 cut (((op (op (e2) (e2)) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H311].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e1) (e2)) = (e3)) = ((op (op (e2) (e2)) (e2)) = (e3))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H311.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_Ha7.
% 8.54/8.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.75 cut (((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H312].
% 8.54/8.75 congruence.
% 8.54/8.75 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.54/8.75 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H312.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H83.
% 8.54/8.75 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.54/8.75 cut (((op (op (e2) (e2)) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 8.54/8.75 congruence.
% 8.54/8.75 apply (zenon_L429_); trivial.
% 8.54/8.75 apply zenon_H84. apply refl_equal.
% 8.54/8.75 apply zenon_H84. apply refl_equal.
% 8.54/8.75 apply zenon_H58. apply refl_equal.
% 8.54/8.75 apply zenon_H84. apply refl_equal.
% 8.54/8.75 apply zenon_H84. apply refl_equal.
% 8.54/8.75 (* end of lemma zenon_L430_ *)
% 8.54/8.75 assert (zenon_L431_ : ((op (e3) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False).
% 8.54/8.75 do 0 intro. intros zenon_H1df zenon_Ha7 zenon_H91.
% 8.54/8.75 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_H92 | zenon_intro zenon_H313 ].
% 8.54/8.75 apply zenon_H92. apply sym_equal. exact zenon_H91.
% 8.54/8.75 apply (zenon_notand_s _ _ zenon_H313); [ zenon_intro zenon_H314 | zenon_intro zenon_H310 ].
% 8.54/8.75 elim (classic ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H8b | zenon_intro zenon_H8c ].
% 8.54/8.75 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) = ((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H314.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H8b.
% 8.54/8.75 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 8.54/8.75 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H315].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e3) (e1)) = (e0)) = ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (e0))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H315.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H1df.
% 8.54/8.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.75 cut (((op (e3) (e1)) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H316].
% 8.54/8.75 congruence.
% 8.54/8.75 elim (classic ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H8b | zenon_intro zenon_H8c ].
% 8.54/8.75 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) = ((op (e3) (e1)) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H316.
% 8.54/8.75 rewrite <- zenon_D_pnotp.
% 8.54/8.75 exact zenon_H8b.
% 8.54/8.75 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 8.54/8.75 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H317].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2de].
% 8.54/8.75 cut (((op (op (e2) (e2)) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H311].
% 8.54/8.75 congruence.
% 8.54/8.75 cut (((op (e1) (e2)) = (e3)) = ((op (op (e2) (e2)) (e2)) = (e3))).
% 8.54/8.75 intro zenon_D_pnotp.
% 8.54/8.75 apply zenon_H311.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_Ha7.
% 8.54/8.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.76 cut (((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H312].
% 8.54/8.76 congruence.
% 8.54/8.76 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.54/8.76 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H312.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H83.
% 8.54/8.76 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.54/8.76 cut (((op (op (e2) (e2)) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 8.54/8.76 congruence.
% 8.54/8.76 apply (zenon_L429_); trivial.
% 8.54/8.76 apply zenon_H84. apply refl_equal.
% 8.54/8.76 apply zenon_H84. apply refl_equal.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 exact (zenon_H2de zenon_H91).
% 8.54/8.76 apply zenon_H8c. apply refl_equal.
% 8.54/8.76 apply zenon_H8c. apply refl_equal.
% 8.54/8.76 apply zenon_H3f. apply refl_equal.
% 8.54/8.76 apply zenon_H8c. apply refl_equal.
% 8.54/8.76 apply zenon_H8c. apply refl_equal.
% 8.54/8.76 apply (zenon_L430_); trivial.
% 8.54/8.76 (* end of lemma zenon_L431_ *)
% 8.54/8.76 assert (zenon_L432_ : ((op (e3) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1b1 zenon_H196 zenon_H169.
% 8.54/8.76 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ].
% 8.54/8.76 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H169.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H2cb.
% 8.54/8.76 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.54/8.76 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H318].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e2) (e1)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H318.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H1b1.
% 8.54/8.76 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 8.54/8.76 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.54/8.76 congruence.
% 8.54/8.76 apply zenon_H2cc. apply refl_equal.
% 8.54/8.76 apply zenon_H199. apply sym_equal. exact zenon_H196.
% 8.54/8.76 apply zenon_H2cc. apply refl_equal.
% 8.54/8.76 apply zenon_H2cc. apply refl_equal.
% 8.54/8.76 (* end of lemma zenon_L432_ *)
% 8.54/8.76 assert (zenon_L433_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_Hbf zenon_H78 zenon_H24 zenon_Ha8 zenon_H173 zenon_Hc8 zenon_H1dc zenon_H91 zenon_Ha7 zenon_H2a zenon_Hf3 zenon_H1d9 zenon_H196 zenon_H169.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.54/8.76 apply (zenon_L128_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.54/8.76 apply (zenon_L32_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.54/8.76 apply (zenon_L112_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 8.54/8.76 apply (zenon_L431_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1e1 ].
% 8.54/8.76 apply (zenon_L56_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1b1 ].
% 8.54/8.76 apply (zenon_L180_); trivial.
% 8.54/8.76 apply (zenon_L432_); trivial.
% 8.54/8.76 (* end of lemma zenon_L433_ *)
% 8.54/8.76 assert (zenon_L434_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H105 zenon_Hd1 zenon_H16b zenon_Hff zenon_H108 zenon_Hd0 zenon_H5a zenon_He4.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.54/8.76 apply (zenon_L47_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.54/8.76 apply (zenon_L107_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.54/8.76 apply (zenon_L88_); trivial.
% 8.54/8.76 apply (zenon_L89_); trivial.
% 8.54/8.76 (* end of lemma zenon_L434_ *)
% 8.54/8.76 assert (zenon_L435_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H27f zenon_Hc8 zenon_Hf1.
% 8.54/8.76 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H27f.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_Hc8.
% 8.54/8.76 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H319].
% 8.54/8.76 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 8.54/8.76 congruence.
% 8.54/8.76 apply zenon_H139. apply refl_equal.
% 8.54/8.76 apply zenon_H319. apply sym_equal. exact zenon_Hf1.
% 8.54/8.76 (* end of lemma zenon_L435_ *)
% 8.54/8.76 assert (zenon_L436_ : ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((e3) = (op (op (e0) (e0)) (e0)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H87 zenon_H66 zenon_H31a.
% 8.54/8.76 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e3) = (op (op (e0) (e0)) (e0)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H31a.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H28a.
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e1) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H31b.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H87.
% 8.54/8.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.76 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 8.54/8.76 congruence.
% 8.54/8.76 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H28d.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H28a.
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 8.54/8.76 congruence.
% 8.54/8.76 apply (zenon_L256_); trivial.
% 8.54/8.76 apply zenon_H28b. apply refl_equal.
% 8.54/8.76 apply zenon_H28b. apply refl_equal.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 apply zenon_H28b. apply refl_equal.
% 8.54/8.76 apply zenon_H28b. apply refl_equal.
% 8.54/8.76 (* end of lemma zenon_L436_ *)
% 8.54/8.76 assert (zenon_L437_ : ((op (e3) (e1)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1d8 zenon_H87 zenon_H66.
% 8.54/8.76 apply (zenon_notand_s _ _ ax12); [ zenon_intro zenon_H72 | zenon_intro zenon_H31c ].
% 8.54/8.76 apply zenon_H72. apply sym_equal. exact zenon_H66.
% 8.54/8.76 apply (zenon_notand_s _ _ zenon_H31c); [ zenon_intro zenon_H31d | zenon_intro zenon_H31a ].
% 8.54/8.76 elim (classic ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H290 | zenon_intro zenon_H291 ].
% 8.54/8.76 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) = ((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H31d.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H290.
% 8.54/8.76 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 8.54/8.76 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H31e].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e3) (e1)) = (e2)) = ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (e2))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H31e.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H1d8.
% 8.54/8.76 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.76 cut (((op (e3) (e1)) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H31f].
% 8.54/8.76 congruence.
% 8.54/8.76 elim (classic ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H290 | zenon_intro zenon_H291 ].
% 8.54/8.76 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) = ((op (e3) (e1)) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H31f.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H290.
% 8.54/8.76 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 8.54/8.76 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H320].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e1) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H31b.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H87.
% 8.54/8.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.76 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 8.54/8.76 congruence.
% 8.54/8.76 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H28d.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H28a.
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.54/8.76 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 8.54/8.76 congruence.
% 8.54/8.76 apply (zenon_L256_); trivial.
% 8.54/8.76 apply zenon_H28b. apply refl_equal.
% 8.54/8.76 apply zenon_H28b. apply refl_equal.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 exact (zenon_H6a zenon_H66).
% 8.54/8.76 apply zenon_H291. apply refl_equal.
% 8.54/8.76 apply zenon_H291. apply refl_equal.
% 8.54/8.76 apply zenon_H4b. apply refl_equal.
% 8.54/8.76 apply zenon_H291. apply refl_equal.
% 8.54/8.76 apply zenon_H291. apply refl_equal.
% 8.54/8.76 apply (zenon_L436_); trivial.
% 8.54/8.76 (* end of lemma zenon_L437_ *)
% 8.54/8.76 assert (zenon_L438_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_Hba zenon_H66 zenon_H1d8 zenon_Ha3 zenon_H2a zenon_Ha8 zenon_H93 zenon_H5a zenon_H16d.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.54/8.76 apply (zenon_L437_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.54/8.76 apply (zenon_L31_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.54/8.76 apply (zenon_L32_); trivial.
% 8.54/8.76 apply (zenon_L109_); trivial.
% 8.54/8.76 (* end of lemma zenon_L438_ *)
% 8.54/8.76 assert (zenon_L439_ : (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (e3)) = (e2)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_Ha8 zenon_H5a zenon_He8.
% 8.54/8.76 cut (((op (e3) (e3)) = (e3)) = ((e2) = (e3))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_Ha8.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H5a.
% 8.54/8.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.76 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H321].
% 8.54/8.76 congruence.
% 8.54/8.76 exact (zenon_H321 zenon_He8).
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 (* end of lemma zenon_L439_ *)
% 8.54/8.76 assert (zenon_L440_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H322 zenon_Hc8 zenon_H27f zenon_H16d zenon_H2a zenon_Ha3 zenon_H66 zenon_Hba zenon_H93 zenon_H2d2 zenon_Ha8 zenon_H5a.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.54/8.76 apply (zenon_L435_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.54/8.76 apply (zenon_L438_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.54/8.76 apply (zenon_L320_); trivial.
% 8.54/8.76 apply (zenon_L439_); trivial.
% 8.54/8.76 (* end of lemma zenon_L440_ *)
% 8.54/8.76 assert (zenon_L441_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H10c zenon_H145 zenon_H7d zenon_H5a zenon_Ha8 zenon_H2d2 zenon_Hba zenon_H66 zenon_Ha3 zenon_H2a zenon_H16d zenon_H27f zenon_Hc8 zenon_H322 zenon_Hd0 zenon_Hfe.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.76 apply (zenon_L84_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.76 apply (zenon_L46_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.76 apply (zenon_L440_); trivial.
% 8.54/8.76 apply (zenon_L88_); trivial.
% 8.54/8.76 (* end of lemma zenon_L441_ *)
% 8.54/8.76 assert (zenon_L442_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H17e zenon_H153 zenon_H24.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H1e. zenon_intro zenon_H17f.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H1e. zenon_intro zenon_H180.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.76 apply (zenon_L303_); trivial.
% 8.54/8.76 (* end of lemma zenon_L442_ *)
% 8.54/8.76 assert (zenon_L443_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1b2 zenon_H1d9 zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H30. zenon_intro zenon_H1b3.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H14e. zenon_intro zenon_H1d6.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.76 apply (zenon_L375_); trivial.
% 8.54/8.76 (* end of lemma zenon_L443_ *)
% 8.54/8.76 assert (zenon_L444_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1b4 zenon_H2fc zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H30. zenon_intro zenon_H1b5.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H14e. zenon_intro zenon_H1b6.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.54/8.76 apply (zenon_L384_); trivial.
% 8.54/8.76 (* end of lemma zenon_L444_ *)
% 8.54/8.76 assert (zenon_L445_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1bd zenon_H153 zenon_H24.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H73. zenon_intro zenon_H1be.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6b. zenon_intro zenon_H180.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.76 apply (zenon_L303_); trivial.
% 8.54/8.76 (* end of lemma zenon_L445_ *)
% 8.54/8.76 assert (zenon_L446_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1e6 zenon_H1d9 zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H35. zenon_intro zenon_H1e7.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Hf4. zenon_intro zenon_H1d6.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.76 apply (zenon_L375_); trivial.
% 8.54/8.76 (* end of lemma zenon_L446_ *)
% 8.54/8.76 assert (zenon_L447_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1e8 zenon_H2fc zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H35. zenon_intro zenon_H1e9.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Hf4. zenon_intro zenon_H1b6.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.54/8.76 apply (zenon_L384_); trivial.
% 8.54/8.76 (* end of lemma zenon_L447_ *)
% 8.54/8.76 assert (zenon_L448_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1ea zenon_H24 zenon_H25.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Hc8. zenon_intro zenon_H1eb.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H7e. zenon_intro zenon_H177.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.54/8.76 apply (zenon_L2_); trivial.
% 8.54/8.76 (* end of lemma zenon_L448_ *)
% 8.54/8.76 assert (zenon_L449_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1ec zenon_H24 zenon_H124.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_Hc8. zenon_intro zenon_H1ed.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H7e. zenon_intro zenon_H17a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.76 apply (zenon_L72_); trivial.
% 8.54/8.76 (* end of lemma zenon_L449_ *)
% 8.54/8.76 assert (zenon_L450_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1f0 zenon_H153 zenon_H24.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Hc8. zenon_intro zenon_H1f1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H7e. zenon_intro zenon_H180.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.76 apply (zenon_L303_); trivial.
% 8.54/8.76 (* end of lemma zenon_L450_ *)
% 8.54/8.76 assert (zenon_L451_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H209 zenon_H1d9 zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H3c. zenon_intro zenon_H20a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_Hbd. zenon_intro zenon_H1d6.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.76 apply (zenon_L375_); trivial.
% 8.54/8.76 (* end of lemma zenon_L451_ *)
% 8.54/8.76 assert (zenon_L452_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H20b zenon_H2fc zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H3c. zenon_intro zenon_H20c.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_Hbd. zenon_intro zenon_H1b6.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.54/8.76 apply (zenon_L384_); trivial.
% 8.54/8.76 (* end of lemma zenon_L452_ *)
% 8.54/8.76 assert (zenon_L453_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H21d zenon_H1d9 zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H98. zenon_intro zenon_H21e.
% 8.54/8.76 apply (zenon_L375_); trivial.
% 8.54/8.76 (* end of lemma zenon_L453_ *)
% 8.54/8.76 assert (zenon_L454_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H229 zenon_H1d9 zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H5a. zenon_intro zenon_H22a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H5a. zenon_intro zenon_H1d6.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.76 apply (zenon_L375_); trivial.
% 8.54/8.76 (* end of lemma zenon_L454_ *)
% 8.54/8.76 assert (zenon_L455_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H22b zenon_H2fc zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H5a. zenon_intro zenon_H22c.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H5a. zenon_intro zenon_H1b6.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H5a.
% 8.54/8.76 apply (zenon_L384_); trivial.
% 8.54/8.76 (* end of lemma zenon_L455_ *)
% 8.54/8.76 assert (zenon_L456_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1c8 zenon_H24 zenon_H78.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.54/8.76 apply (zenon_L128_); trivial.
% 8.54/8.76 (* end of lemma zenon_L456_ *)
% 8.54/8.76 assert (zenon_L457_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H205 zenon_H1d3 zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Hbd. zenon_intro zenon_H1ad.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H103. zenon_intro zenon_H1a9.
% 8.54/8.76 apply (zenon_L165_); trivial.
% 8.54/8.76 (* end of lemma zenon_L457_ *)
% 8.54/8.76 assert (zenon_L458_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H2df zenon_H67 zenon_H24 zenon_H129 zenon_H1fb zenon_H4c zenon_H1d9.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H191. zenon_intro zenon_H1fc.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H93. zenon_intro zenon_H1c7.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.76 apply (zenon_L331_); trivial.
% 8.54/8.76 (* end of lemma zenon_L458_ *)
% 8.54/8.76 assert (zenon_L459_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1ae zenon_H62.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.54/8.76 apply (zenon_L416_); trivial.
% 8.54/8.76 (* end of lemma zenon_L459_ *)
% 8.54/8.76 assert (zenon_L460_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H187 zenon_H127 zenon_H30.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.54/8.76 apply (zenon_L73_); trivial.
% 8.54/8.76 (* end of lemma zenon_L460_ *)
% 8.54/8.76 assert (zenon_L461_ : (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H12e zenon_H30 zenon_H26f.
% 8.54/8.76 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H12e.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H30.
% 8.54/8.76 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.76 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 8.54/8.76 congruence.
% 8.54/8.76 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H130 | zenon_intro zenon_H131 ].
% 8.54/8.76 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H325.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H130.
% 8.54/8.76 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 8.54/8.76 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H326].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H327].
% 8.54/8.76 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.76 congruence.
% 8.54/8.76 apply zenon_H3f. apply refl_equal.
% 8.54/8.76 exact (zenon_H327 zenon_H26f).
% 8.54/8.76 apply zenon_H131. apply refl_equal.
% 8.54/8.76 apply zenon_H131. apply refl_equal.
% 8.54/8.76 apply zenon_H3f. apply refl_equal.
% 8.54/8.76 (* end of lemma zenon_L461_ *)
% 8.54/8.76 assert (zenon_L462_ : ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_Hc8 zenon_H27e zenon_Ha8.
% 8.54/8.76 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.76 cut (((e3) = (e3)) = ((e2) = (e3))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_Ha8.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_Ha4.
% 8.54/8.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.76 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e2) (e0)) = (e2)) = ((e3) = (e2))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_Ha9.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_Hc8.
% 8.54/8.76 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.76 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H328].
% 8.54/8.76 congruence.
% 8.54/8.76 exact (zenon_H328 zenon_H27e).
% 8.54/8.76 apply zenon_H4b. apply refl_equal.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 (* end of lemma zenon_L462_ *)
% 8.54/8.76 assert (zenon_L463_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1bd zenon_H29 zenon_Hab.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H73. zenon_intro zenon_H1be.
% 8.54/8.76 apply (zenon_L93_); trivial.
% 8.54/8.76 (* end of lemma zenon_L463_ *)
% 8.54/8.76 assert (zenon_L464_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1ea zenon_H30 zenon_H31.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Hc8. zenon_intro zenon_H1eb.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H7e. zenon_intro zenon_H177.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.54/8.76 apply (zenon_L4_); trivial.
% 8.54/8.76 (* end of lemma zenon_L464_ *)
% 8.54/8.76 assert (zenon_L465_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1ec zenon_H127 zenon_H30.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_Hc8. zenon_intro zenon_H1ed.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H7e. zenon_intro zenon_H17a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.54/8.76 apply (zenon_L73_); trivial.
% 8.54/8.76 (* end of lemma zenon_L465_ *)
% 8.54/8.76 assert (zenon_L466_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H2d2 zenon_H29 zenon_Hf6.
% 8.54/8.76 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H2d2.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H29.
% 8.54/8.76 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 8.54/8.76 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.54/8.76 congruence.
% 8.54/8.76 apply zenon_H2d. apply refl_equal.
% 8.54/8.76 apply zenon_H2a0. apply sym_equal. exact zenon_Hf6.
% 8.54/8.76 (* end of lemma zenon_L466_ *)
% 8.54/8.76 assert (zenon_L467_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H2d4 zenon_H14e zenon_H170 zenon_H29 zenon_H2d2 zenon_H29f zenon_H7e zenon_H1d9 zenon_H1b1.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.54/8.76 apply (zenon_L111_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.54/8.76 apply (zenon_L466_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.54/8.76 apply (zenon_L398_); trivial.
% 8.54/8.76 apply (zenon_L375_); trivial.
% 8.54/8.76 (* end of lemma zenon_L467_ *)
% 8.54/8.76 assert (zenon_L468_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1f0 zenon_H2d4 zenon_H170 zenon_H29 zenon_H2d2 zenon_H29f zenon_H1d9 zenon_H1b1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Hc8. zenon_intro zenon_H1f1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H7e. zenon_intro zenon_H180.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.76 apply (zenon_L467_); trivial.
% 8.54/8.76 (* end of lemma zenon_L468_ *)
% 8.54/8.76 assert (zenon_L469_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H215 zenon_H29 zenon_Hab.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_Hb3. zenon_intro zenon_H183.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.54/8.76 apply (zenon_L93_); trivial.
% 8.54/8.76 (* end of lemma zenon_L469_ *)
% 8.54/8.76 assert (zenon_L470_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H217 zenon_H29 zenon_H2b.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1b1. zenon_intro zenon_H218.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hb3. zenon_intro zenon_H186.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.54/8.76 apply (zenon_L3_); trivial.
% 8.54/8.76 (* end of lemma zenon_L470_ *)
% 8.54/8.76 assert (zenon_L471_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H108 zenon_Hb3 zenon_Ha8.
% 8.54/8.76 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.54/8.76 cut (((e3) = (e3)) = ((e2) = (e3))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_Ha8.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_Ha4.
% 8.54/8.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.76 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e1) (e3)) = (e2)) = ((e3) = (e2))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_Ha9.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H108.
% 8.54/8.76 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.76 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 8.54/8.76 congruence.
% 8.54/8.76 exact (zenon_H190 zenon_Hb3).
% 8.54/8.76 apply zenon_H4b. apply refl_equal.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 (* end of lemma zenon_L471_ *)
% 8.54/8.76 assert (zenon_L472_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H197 zenon_H15a zenon_H16b.
% 8.54/8.76 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H197.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H15a.
% 8.54/8.76 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 8.54/8.76 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.54/8.76 congruence.
% 8.54/8.76 apply zenon_H16a. apply refl_equal.
% 8.54/8.76 apply zenon_H16c. apply sym_equal. exact zenon_H16b.
% 8.54/8.76 (* end of lemma zenon_L472_ *)
% 8.54/8.76 assert (zenon_L473_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H109 zenon_Hb3 zenon_H195.
% 8.54/8.76 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H109.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_Hb3.
% 8.54/8.76 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 8.54/8.76 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.54/8.76 congruence.
% 8.54/8.76 apply zenon_H38. apply refl_equal.
% 8.54/8.76 apply zenon_H2d7. apply sym_equal. exact zenon_H195.
% 8.54/8.76 (* end of lemma zenon_L473_ *)
% 8.54/8.76 assert (zenon_L474_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H2d8 zenon_H30 zenon_Hff zenon_H15a zenon_H197 zenon_He8 zenon_He7 zenon_H109 zenon_Hb3.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H2d9 ].
% 8.54/8.76 apply (zenon_L91_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H16b | zenon_intro zenon_H2da ].
% 8.54/8.76 apply (zenon_L472_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3c | zenon_intro zenon_H195 ].
% 8.54/8.76 apply (zenon_L52_); trivial.
% 8.54/8.76 apply (zenon_L473_); trivial.
% 8.54/8.76 (* end of lemma zenon_L474_ *)
% 8.54/8.76 assert (zenon_L475_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H219 zenon_H329 zenon_H78 zenon_Ha8 zenon_H12b zenon_Hc8 zenon_H2d8 zenon_H30 zenon_Hff zenon_H197 zenon_He7 zenon_H109.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H1b1. zenon_intro zenon_H21a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Hb3. zenon_intro zenon_H189.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.54/8.76 apply (zenon_L394_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.54/8.76 apply (zenon_L471_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.54/8.76 apply (zenon_L75_); trivial.
% 8.54/8.76 apply (zenon_L474_); trivial.
% 8.54/8.76 (* end of lemma zenon_L475_ *)
% 8.54/8.76 assert (zenon_L476_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H10c zenon_H145 zenon_Hc8 zenon_H41 zenon_H7d zenon_H29 zenon_Hb3 zenon_Ha8.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.76 apply (zenon_L84_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.76 apply (zenon_L85_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.76 apply (zenon_L161_); trivial.
% 8.54/8.76 apply (zenon_L471_); trivial.
% 8.54/8.76 (* end of lemma zenon_L476_ *)
% 8.54/8.76 assert (zenon_L477_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_Hc5 zenon_H30 zenon_H153 zenon_H29 zenon_H67 zenon_Hc8 zenon_H4c zenon_H170 zenon_H14e.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.54/8.76 apply (zenon_L303_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.54/8.76 apply (zenon_L110_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.54/8.76 apply (zenon_L102_); trivial.
% 8.54/8.76 apply (zenon_L111_); trivial.
% 8.54/8.76 (* end of lemma zenon_L477_ *)
% 8.54/8.76 assert (zenon_L478_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_Hc5 zenon_H78 zenon_H7e zenon_H29 zenon_H67 zenon_Hc8 zenon_H4c zenon_H170 zenon_H14e.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.54/8.76 apply (zenon_L128_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.54/8.76 apply (zenon_L110_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.54/8.76 apply (zenon_L102_); trivial.
% 8.54/8.76 apply (zenon_L111_); trivial.
% 8.54/8.76 (* end of lemma zenon_L478_ *)
% 8.54/8.76 assert (zenon_L479_ : (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H59 zenon_H1b1 zenon_He5.
% 8.54/8.76 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H59.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H1b1.
% 8.54/8.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.76 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H32c].
% 8.54/8.76 congruence.
% 8.54/8.76 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ].
% 8.54/8.76 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))).
% 8.54/8.76 intro zenon_D_pnotp.
% 8.54/8.76 apply zenon_H32c.
% 8.54/8.76 rewrite <- zenon_D_pnotp.
% 8.54/8.76 exact zenon_H5c.
% 8.54/8.76 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 8.54/8.76 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H32d].
% 8.54/8.76 congruence.
% 8.54/8.76 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2ec].
% 8.54/8.76 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.76 congruence.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 exact (zenon_H2ec zenon_He5).
% 8.54/8.76 apply zenon_H5d. apply refl_equal.
% 8.54/8.76 apply zenon_H5d. apply refl_equal.
% 8.54/8.76 apply zenon_H58. apply refl_equal.
% 8.54/8.76 (* end of lemma zenon_L479_ *)
% 8.54/8.76 assert (zenon_L480_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H2b8 zenon_H67 zenon_H30 zenon_H29 zenon_H129 zenon_H15a zenon_H197 zenon_H59 zenon_H1b1.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.54/8.76 apply (zenon_L343_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.54/8.76 apply (zenon_L74_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.54/8.76 apply (zenon_L472_); trivial.
% 8.54/8.76 apply (zenon_L479_); trivial.
% 8.54/8.76 (* end of lemma zenon_L480_ *)
% 8.54/8.76 assert (zenon_L481_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H2b8 zenon_H67 zenon_H30 zenon_Ha3 zenon_Hb3 zenon_H15a zenon_H197 zenon_H59 zenon_H1b1.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.54/8.76 apply (zenon_L343_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.54/8.76 apply (zenon_L124_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.54/8.76 apply (zenon_L472_); trivial.
% 8.54/8.76 apply (zenon_L479_); trivial.
% 8.54/8.76 (* end of lemma zenon_L481_ *)
% 8.54/8.76 assert (zenon_L482_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H219 zenon_H2b8 zenon_H67 zenon_H30 zenon_Ha3 zenon_H197 zenon_H59.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H1b1. zenon_intro zenon_H21a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Hb3. zenon_intro zenon_H189.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.76 apply (zenon_L481_); trivial.
% 8.54/8.76 (* end of lemma zenon_L482_ *)
% 8.54/8.76 assert (zenon_L483_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H22d zenon_H1d9 zenon_H1d7 zenon_Ha8 zenon_H173 zenon_H192 zenon_Ha3 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H7d zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H29 zenon_H129 zenon_H12b zenon_Hc8 zenon_H2fc zenon_H1b1.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.76 apply (zenon_L193_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.76 apply (zenon_L194_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.76 apply (zenon_L195_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.76 apply (zenon_L117_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.76 apply (zenon_L155_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.76 apply (zenon_L156_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.76 apply (zenon_L460_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.76 apply (zenon_L159_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.76 apply (zenon_L129_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.76 apply (zenon_L162_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.76 apply (zenon_L131_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.76 apply (zenon_L132_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.76 apply (zenon_L202_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H26f | zenon_intro zenon_H32f ].
% 8.54/8.76 apply (zenon_L461_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H87 | zenon_intro zenon_H330 ].
% 8.54/8.76 apply (zenon_L35_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H27e | zenon_intro zenon_H1a9 ].
% 8.54/8.76 apply (zenon_L462_); trivial.
% 8.54/8.76 apply (zenon_L133_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.76 apply (zenon_L443_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.76 apply (zenon_L444_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.76 apply (zenon_L171_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.76 apply (zenon_L172_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.76 apply (zenon_L173_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.76 apply (zenon_L463_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.76 apply (zenon_L175_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.76 apply (zenon_L176_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.76 apply (zenon_L146_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.76 apply (zenon_L177_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.76 apply (zenon_L148_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.76 apply (zenon_L151_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.76 apply (zenon_L152_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.76 apply (zenon_L153_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.76 apply (zenon_L182_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.76 apply (zenon_L356_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.76 apply (zenon_L446_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.76 apply (zenon_L447_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.76 apply (zenon_L464_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.76 apply (zenon_L465_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.76 apply (zenon_L188_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.76 apply (zenon_L468_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.76 apply (zenon_L190_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.76 apply (zenon_L212_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.76 apply (zenon_L363_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.76 apply (zenon_L214_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.76 apply (zenon_L241_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.76 apply (zenon_L242_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.76 apply (zenon_L366_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.76 apply (zenon_L272_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.76 apply (zenon_L273_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.76 apply (zenon_L367_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.76 apply (zenon_L451_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.76 apply (zenon_L452_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.76 apply (zenon_L223_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.76 apply (zenon_L275_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.76 apply (zenon_L225_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.76 apply (zenon_L372_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.76 apply (zenon_L469_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.76 apply (zenon_L470_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.76 apply (zenon_L475_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.76 apply (zenon_L378_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.76 apply (zenon_L453_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.76 apply (zenon_L380_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.76 apply (zenon_L381_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.76 apply (zenon_L382_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.76 apply (zenon_L383_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.76 apply (zenon_L385_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.76 apply (zenon_L454_); trivial.
% 8.54/8.76 apply (zenon_L455_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.76 apply (zenon_L193_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.76 apply (zenon_L194_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.76 apply (zenon_L116_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.76 apply (zenon_L117_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.76 apply (zenon_L155_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.76 apply (zenon_L156_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.76 apply (zenon_L277_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.76 apply (zenon_L159_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.76 apply (zenon_L129_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.76 apply (zenon_L278_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.76 apply (zenon_L131_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.76 apply (zenon_L132_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.76 apply (zenon_L202_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.54/8.76 apply (zenon_L476_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.76 apply (zenon_L443_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.76 apply (zenon_L444_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.76 apply (zenon_L171_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.76 apply (zenon_L172_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.76 apply (zenon_L173_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.76 apply (zenon_L463_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.76 apply (zenon_L175_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.76 apply (zenon_L176_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.76 apply (zenon_L146_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.76 apply (zenon_L177_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.76 apply (zenon_L4_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.76 apply (zenon_L82_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.76 apply (zenon_L83_); trivial.
% 8.54/8.76 apply (zenon_L467_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.76 apply (zenon_L205_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.76 apply (zenon_L152_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.76 apply (zenon_L153_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.76 apply (zenon_L208_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.76 apply (zenon_L356_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.76 apply (zenon_L446_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.76 apply (zenon_L447_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.76 apply (zenon_L464_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.76 apply (zenon_L465_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.76 apply (zenon_L188_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.76 apply (zenon_L468_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.76 apply (zenon_L190_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.76 apply (zenon_L212_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.76 apply (zenon_L363_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.76 apply (zenon_L279_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.76 apply (zenon_L241_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.76 apply (zenon_L242_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.76 apply (zenon_L366_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.76 apply (zenon_L272_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.76 apply (zenon_L219_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.76 apply (zenon_L367_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.76 apply (zenon_L451_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.76 apply (zenon_L452_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.76 apply (zenon_L223_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.76 apply (zenon_L281_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.76 apply (zenon_L225_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.76 apply (zenon_L372_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.76 apply (zenon_L469_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.76 apply (zenon_L470_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H1b1. zenon_intro zenon_H21a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Hb3. zenon_intro zenon_H189.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.76 apply (zenon_L476_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.76 apply (zenon_L378_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.76 apply (zenon_L453_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.76 apply (zenon_L380_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.76 apply (zenon_L381_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.76 apply (zenon_L382_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.76 apply (zenon_L383_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.76 apply (zenon_L385_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.76 apply (zenon_L454_); trivial.
% 8.54/8.76 apply (zenon_L455_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.76 apply (zenon_L193_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.76 apply (zenon_L194_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.76 apply (zenon_L282_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H1e. zenon_intro zenon_H17f.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H1e. zenon_intro zenon_H180.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.76 apply (zenon_L477_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.76 apply (zenon_L155_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.76 apply (zenon_L156_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.76 apply (zenon_L283_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.76 apply (zenon_L159_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.76 apply (zenon_L129_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.76 apply (zenon_L284_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.76 apply (zenon_L131_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.76 apply (zenon_L285_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.76 apply (zenon_L202_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.54/8.76 apply (zenon_L477_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.76 apply (zenon_L443_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.76 apply (zenon_L444_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.76 apply (zenon_L171_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.76 apply (zenon_L172_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.76 apply (zenon_L286_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.76 apply (zenon_L463_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.76 apply (zenon_L175_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.76 apply (zenon_L176_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.76 apply (zenon_L146_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.76 apply (zenon_L177_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.76 apply (zenon_L411_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.76 apply (zenon_L151_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.76 apply (zenon_L152_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.76 apply (zenon_L287_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.76 apply (zenon_L182_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.76 apply (zenon_L356_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.76 apply (zenon_L446_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.76 apply (zenon_L447_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.76 apply (zenon_L464_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.76 apply (zenon_L465_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.76 apply (zenon_L188_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Hc8. zenon_intro zenon_H1f1.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H7e. zenon_intro zenon_H180.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.54/8.76 apply (zenon_L478_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.76 apply (zenon_L190_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.76 apply (zenon_L212_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.76 apply (zenon_L363_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.76 apply (zenon_L214_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.76 apply (zenon_L241_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.76 apply (zenon_L242_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.76 apply (zenon_L366_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.76 apply (zenon_L272_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.76 apply (zenon_L219_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.76 apply (zenon_L367_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.76 apply (zenon_L451_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.76 apply (zenon_L452_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.76 apply (zenon_L223_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.76 apply (zenon_L224_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.76 apply (zenon_L293_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.76 apply (zenon_L372_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.76 apply (zenon_L469_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.76 apply (zenon_L470_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.76 apply (zenon_L414_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.76 apply (zenon_L378_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.76 apply (zenon_L453_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.76 apply (zenon_L380_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.76 apply (zenon_L381_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.76 apply (zenon_L382_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.76 apply (zenon_L383_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.76 apply (zenon_L385_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.76 apply (zenon_L454_); trivial.
% 8.54/8.76 apply (zenon_L455_); trivial.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.76 apply (zenon_L193_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.76 apply (zenon_L194_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.76 apply (zenon_L116_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.76 apply (zenon_L417_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.76 apply (zenon_L155_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.76 apply (zenon_L156_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Hac. zenon_intro zenon_H189.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.76 apply (zenon_L480_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.76 apply (zenon_L333_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.76 apply (zenon_L129_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.76 apply (zenon_L162_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.76 apply (zenon_L131_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.76 apply (zenon_L296_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.76 apply (zenon_L202_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.76 apply (zenon_L459_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.76 apply (zenon_L443_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.76 apply (zenon_L444_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.76 apply (zenon_L171_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.76 apply (zenon_L172_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.76 apply (zenon_L173_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.76 apply (zenon_L419_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.76 apply (zenon_L175_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.76 apply (zenon_L176_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.76 apply (zenon_L146_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.76 apply (zenon_L334_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.54/8.76 apply (zenon_L480_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.76 apply (zenon_L205_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.76 apply (zenon_L152_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.76 apply (zenon_L297_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.76 apply (zenon_L298_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.76 apply (zenon_L356_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.76 apply (zenon_L446_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.76 apply (zenon_L447_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.76 apply (zenon_L464_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.76 apply (zenon_L465_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.76 apply (zenon_L188_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.76 apply (zenon_L422_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.76 apply (zenon_L190_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.76 apply (zenon_L212_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.76 apply (zenon_L363_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.76 apply (zenon_L335_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.76 apply (zenon_L241_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.76 apply (zenon_L242_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.76 apply (zenon_L366_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.76 apply (zenon_L299_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.76 apply (zenon_L300_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.76 apply (zenon_L423_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.76 apply (zenon_L451_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.76 apply (zenon_L452_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.76 apply (zenon_L223_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.76 apply (zenon_L224_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.76 apply (zenon_L225_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.76 apply (zenon_L372_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.76 apply (zenon_L469_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.76 apply (zenon_L470_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.76 apply (zenon_L482_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.76 apply (zenon_L378_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.76 apply (zenon_L453_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.76 apply (zenon_L380_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.76 apply (zenon_L381_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.76 apply (zenon_L382_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.76 apply (zenon_L383_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.76 apply (zenon_L385_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.76 apply (zenon_L454_); trivial.
% 8.54/8.76 apply (zenon_L455_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.76 apply (zenon_L74_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.76 apply (zenon_L75_); trivial.
% 8.54/8.76 apply (zenon_L384_); trivial.
% 8.54/8.76 (* end of lemma zenon_L483_ *)
% 8.54/8.76 assert (zenon_L484_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.54/8.76 do 0 intro. intros zenon_H1d3 zenon_H2df zenon_H2f3 zenon_Hd0 zenon_H16d zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_Hb7 zenon_H6c zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H27f zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H2a3 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2bf zenon_H124 zenon_H11f zenon_H36 zenon_H2fc zenon_H12b zenon_H129 zenon_H2a5 zenon_H329 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H32e zenon_Hb4 zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_H2a2 zenon_H3a zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_H31 zenon_H127 zenon_H78 zenon_H7d zenon_H1f6 zenon_Hc2 zenon_Hab zenon_H2b zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H192 zenon_Ha8 zenon_H1d7 zenon_H22d zenon_H173 zenon_Hc8 zenon_H1d9 zenon_H1b1.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.76 apply (zenon_L303_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.76 apply (zenon_L308_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.76 apply (zenon_L309_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.76 apply (zenon_L115_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.76 apply (zenon_L442_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.76 apply (zenon_L120_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.76 apply (zenon_L121_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.76 apply (zenon_L122_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.76 apply (zenon_L310_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.76 apply (zenon_L129_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.76 apply (zenon_L130_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.76 apply (zenon_L131_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.76 apply (zenon_L132_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.76 apply (zenon_L135_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.76 apply (zenon_L136_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.76 apply (zenon_L443_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.76 apply (zenon_L444_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.76 apply (zenon_L311_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.76 apply (zenon_L312_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.76 apply (zenon_L141_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.76 apply (zenon_L445_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.76 apply (zenon_L143_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.76 apply (zenon_L144_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.76 apply (zenon_L146_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.76 apply (zenon_L147_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.76 apply (zenon_L148_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.76 apply (zenon_L151_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.76 apply (zenon_L152_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.76 apply (zenon_L153_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.76 apply (zenon_L355_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.76 apply (zenon_L356_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.76 apply (zenon_L446_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.76 apply (zenon_L447_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.76 apply (zenon_L448_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.76 apply (zenon_L449_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.76 apply (zenon_L188_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.76 apply (zenon_L450_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.76 apply (zenon_L316_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.76 apply (zenon_L317_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.76 apply (zenon_L364_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.76 apply (zenon_L365_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.76 apply (zenon_L241_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.76 apply (zenon_L242_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.76 apply (zenon_L366_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.76 apply (zenon_L272_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.76 apply (zenon_L273_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.76 apply (zenon_L367_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.76 apply (zenon_L451_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.76 apply (zenon_L452_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.76 apply (zenon_L322_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.76 apply (zenon_L275_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.76 apply (zenon_L371_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.76 apply (zenon_L373_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.76 apply (zenon_L374_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.76 apply (zenon_L408_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.76 apply (zenon_L377_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.76 apply (zenon_L378_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.76 apply (zenon_L453_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.76 apply (zenon_L380_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.76 apply (zenon_L381_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.76 apply (zenon_L382_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.76 apply (zenon_L383_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.76 apply (zenon_L385_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.76 apply (zenon_L454_); trivial.
% 8.54/8.76 apply (zenon_L455_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.76 apply (zenon_L308_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.76 apply (zenon_L309_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.76 apply (zenon_L116_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.76 apply (zenon_L442_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.76 apply (zenon_L120_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.76 apply (zenon_L121_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.76 apply (zenon_L277_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.76 apply (zenon_L310_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.76 apply (zenon_L129_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.76 apply (zenon_L278_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.76 apply (zenon_L131_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.76 apply (zenon_L132_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.76 apply (zenon_L135_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.76 apply (zenon_L136_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.76 apply (zenon_L443_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.76 apply (zenon_L444_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.76 apply (zenon_L311_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.76 apply (zenon_L312_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.76 apply (zenon_L141_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.76 apply (zenon_L445_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.76 apply (zenon_L143_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.76 apply (zenon_L144_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.76 apply (zenon_L146_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.76 apply (zenon_L147_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.76 apply (zenon_L456_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.76 apply (zenon_L151_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.76 apply (zenon_L152_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.76 apply (zenon_L153_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.76 apply (zenon_L355_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.76 apply (zenon_L356_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.76 apply (zenon_L446_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.76 apply (zenon_L447_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.76 apply (zenon_L448_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.76 apply (zenon_L449_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.76 apply (zenon_L188_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.76 apply (zenon_L450_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.76 apply (zenon_L316_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.76 apply (zenon_L317_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.76 apply (zenon_L364_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.76 apply (zenon_L279_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.76 apply (zenon_L241_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.76 apply (zenon_L242_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.76 apply (zenon_L366_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.76 apply (zenon_L272_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.76 apply (zenon_L457_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.76 apply (zenon_L367_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.76 apply (zenon_L451_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.76 apply (zenon_L452_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.76 apply (zenon_L322_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.76 apply (zenon_L281_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.76 apply (zenon_L371_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.76 apply (zenon_L373_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.76 apply (zenon_L374_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.76 apply (zenon_L408_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.76 apply (zenon_L377_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.76 apply (zenon_L378_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.76 apply (zenon_L453_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.76 apply (zenon_L380_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.76 apply (zenon_L381_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.76 apply (zenon_L382_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.76 apply (zenon_L383_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.76 apply (zenon_L385_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.76 apply (zenon_L454_); trivial.
% 8.54/8.76 apply (zenon_L455_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.76 apply (zenon_L308_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.76 apply (zenon_L309_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.76 apply (zenon_L282_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.76 apply (zenon_L442_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.76 apply (zenon_L120_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.76 apply (zenon_L121_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.76 apply (zenon_L283_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.76 apply (zenon_L310_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.76 apply (zenon_L129_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.76 apply (zenon_L284_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.76 apply (zenon_L131_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.76 apply (zenon_L285_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.76 apply (zenon_L135_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.76 apply (zenon_L136_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.76 apply (zenon_L443_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.76 apply (zenon_L444_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.76 apply (zenon_L311_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.76 apply (zenon_L312_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.76 apply (zenon_L286_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.76 apply (zenon_L445_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.76 apply (zenon_L143_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.76 apply (zenon_L144_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.76 apply (zenon_L146_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.76 apply (zenon_L147_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.76 apply (zenon_L411_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.76 apply (zenon_L151_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.76 apply (zenon_L152_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.76 apply (zenon_L287_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.76 apply (zenon_L355_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.76 apply (zenon_L356_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.76 apply (zenon_L446_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.76 apply (zenon_L447_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.76 apply (zenon_L448_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.76 apply (zenon_L449_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.76 apply (zenon_L188_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.76 apply (zenon_L450_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.76 apply (zenon_L316_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.76 apply (zenon_L317_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.76 apply (zenon_L364_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.76 apply (zenon_L458_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.76 apply (zenon_L241_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.76 apply (zenon_L242_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.76 apply (zenon_L366_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.76 apply (zenon_L272_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.76 apply (zenon_L457_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.76 apply (zenon_L367_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.76 apply (zenon_L451_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.76 apply (zenon_L452_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.76 apply (zenon_L322_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.76 apply (zenon_L323_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.76 apply (zenon_L293_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.76 apply (zenon_L373_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.76 apply (zenon_L374_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.76 apply (zenon_L408_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.76 apply (zenon_L414_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.76 apply (zenon_L378_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.76 apply (zenon_L453_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.76 apply (zenon_L380_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.76 apply (zenon_L381_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.76 apply (zenon_L382_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.76 apply (zenon_L383_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.76 apply (zenon_L385_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.76 apply (zenon_L454_); trivial.
% 8.54/8.76 apply (zenon_L455_); trivial.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.54/8.76 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.76 apply (zenon_L308_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.76 apply (zenon_L309_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.76 apply (zenon_L116_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.76 apply (zenon_L417_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.76 apply (zenon_L120_); trivial.
% 8.54/8.76 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.77 apply (zenon_L121_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.77 apply (zenon_L122_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.77 apply (zenon_L333_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.77 apply (zenon_L129_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.77 apply (zenon_L130_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.77 apply (zenon_L131_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.77 apply (zenon_L296_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.77 apply (zenon_L135_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.77 apply (zenon_L459_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.77 apply (zenon_L443_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.77 apply (zenon_L444_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.77 apply (zenon_L311_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.77 apply (zenon_L312_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.77 apply (zenon_L141_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.77 apply (zenon_L419_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.77 apply (zenon_L143_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.77 apply (zenon_L144_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.77 apply (zenon_L146_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.77 apply (zenon_L334_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.77 apply (zenon_L456_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.77 apply (zenon_L151_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.77 apply (zenon_L152_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.77 apply (zenon_L297_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.77 apply (zenon_L298_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.77 apply (zenon_L356_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.77 apply (zenon_L446_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.77 apply (zenon_L447_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.77 apply (zenon_L448_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.77 apply (zenon_L449_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.77 apply (zenon_L188_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.77 apply (zenon_L422_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.77 apply (zenon_L316_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.77 apply (zenon_L317_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.77 apply (zenon_L364_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.77 apply (zenon_L335_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.77 apply (zenon_L241_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.77 apply (zenon_L242_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.77 apply (zenon_L366_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.77 apply (zenon_L299_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.77 apply (zenon_L300_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.77 apply (zenon_L423_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.77 apply (zenon_L451_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.77 apply (zenon_L452_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.77 apply (zenon_L322_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.77 apply (zenon_L323_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.77 apply (zenon_L425_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.77 apply (zenon_L373_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.77 apply (zenon_L374_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.77 apply (zenon_L408_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.77 apply (zenon_L377_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.77 apply (zenon_L378_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.77 apply (zenon_L453_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.77 apply (zenon_L380_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.77 apply (zenon_L381_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.77 apply (zenon_L382_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.77 apply (zenon_L383_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.77 apply (zenon_L385_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.77 apply (zenon_L454_); trivial.
% 8.54/8.77 apply (zenon_L455_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.77 apply (zenon_L75_); trivial.
% 8.54/8.77 apply (zenon_L384_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.54/8.77 apply (zenon_L483_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.54/8.77 apply (zenon_L112_); trivial.
% 8.54/8.77 apply (zenon_L375_); trivial.
% 8.54/8.77 (* end of lemma zenon_L484_ *)
% 8.54/8.77 assert (zenon_L485_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H322 zenon_H105 zenon_He4 zenon_H11e zenon_H16d zenon_H5a zenon_Hbf zenon_H2a zenon_H303 zenon_H1d3 zenon_H2df zenon_H2f3 zenon_Hd0 zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_Hb7 zenon_H6c zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H27f zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H2a3 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2bf zenon_H124 zenon_H11f zenon_H36 zenon_H2fc zenon_H12b zenon_H129 zenon_H2a5 zenon_H329 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H32e zenon_Hb4 zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_H2a2 zenon_H3a zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_H31 zenon_H127 zenon_H1f6 zenon_Hc2 zenon_Hab zenon_H2b zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H192 zenon_Ha8 zenon_H1d7 zenon_H22d zenon_H173 zenon_Hc8 zenon_H1d9 zenon_Hac zenon_Hba zenon_H78 zenon_H24 zenon_H7d.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.54/8.77 apply (zenon_L79_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.77 apply (zenon_L84_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.77 apply (zenon_L46_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.77 apply (zenon_L427_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.54/8.77 apply (zenon_L426_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.54/8.77 apply (zenon_L31_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.54/8.77 apply (zenon_L428_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.54/8.77 apply (zenon_L31_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.54/8.77 apply (zenon_L250_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.54/8.77 apply (zenon_L307_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.54/8.77 apply (zenon_L433_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.77 apply (zenon_L303_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.77 apply (zenon_L434_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.77 apply (zenon_L108_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.54/8.77 apply (zenon_L66_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.54/8.77 apply (zenon_L107_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.54/8.77 apply (zenon_L441_); trivial.
% 8.54/8.77 apply (zenon_L89_); trivial.
% 8.54/8.77 apply (zenon_L484_); trivial.
% 8.54/8.77 apply (zenon_L471_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.54/8.77 apply (zenon_L128_); trivial.
% 8.54/8.77 apply (zenon_L441_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.77 apply (zenon_L18_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.77 apply (zenon_L22_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.54/8.77 apply (zenon_L79_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.54/8.77 apply (zenon_L426_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.54/8.77 apply (zenon_L31_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.54/8.77 apply (zenon_L428_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.54/8.77 apply (zenon_L31_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.54/8.77 apply (zenon_L44_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.54/8.77 apply (zenon_L395_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.54/8.77 apply (zenon_L433_); trivial.
% 8.54/8.77 apply (zenon_L107_); trivial.
% 8.54/8.77 apply (zenon_L484_); trivial.
% 8.54/8.77 apply (zenon_L109_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.54/8.77 apply (zenon_L128_); trivial.
% 8.54/8.77 apply (zenon_L81_); trivial.
% 8.54/8.77 (* end of lemma zenon_L485_ *)
% 8.54/8.77 assert (zenon_L486_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H150 zenon_H31 zenon_Hd6 zenon_H74 zenon_H2a zenon_Hc8 zenon_H7d zenon_H14e zenon_H67.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.54/8.77 apply (zenon_L87_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.54/8.77 apply (zenon_L20_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.54/8.77 apply (zenon_L44_); trivial.
% 8.54/8.77 apply (zenon_L94_); trivial.
% 8.54/8.77 (* end of lemma zenon_L486_ *)
% 8.54/8.77 assert (zenon_L487_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H2a1 zenon_He4 zenon_H5a zenon_H10c zenon_H145 zenon_Ha8 zenon_H2d2 zenon_Hba zenon_Ha3 zenon_H16d zenon_H27f zenon_H322 zenon_Hd0 zenon_H153 zenon_H105 zenon_H6c zenon_H24 zenon_H150 zenon_H31 zenon_H74 zenon_H2a zenon_Hc8 zenon_H7d zenon_H14e zenon_H67.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.54/8.77 apply (zenon_L303_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.54/8.77 apply (zenon_L486_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.54/8.77 apply (zenon_L441_); trivial.
% 8.54/8.77 apply (zenon_L89_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.77 apply (zenon_L18_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.77 apply (zenon_L22_); trivial.
% 8.54/8.77 apply (zenon_L486_); trivial.
% 8.54/8.77 (* end of lemma zenon_L487_ *)
% 8.54/8.77 assert (zenon_L488_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H2a4 zenon_H12e zenon_Ha8 zenon_Hcb zenon_H29f zenon_H98 zenon_H30 zenon_Hc2.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H26f | zenon_intro zenon_H2ad ].
% 8.54/8.77 apply (zenon_L461_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H274 | zenon_intro zenon_H2ae ].
% 8.54/8.77 apply (zenon_L428_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H276 | zenon_intro zenon_H103 ].
% 8.54/8.77 apply (zenon_L399_); trivial.
% 8.54/8.77 apply (zenon_L201_); trivial.
% 8.54/8.77 (* end of lemma zenon_L488_ *)
% 8.54/8.77 assert (zenon_L489_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H331 zenon_Hc2 zenon_H30 zenon_Hb4 zenon_H87 zenon_H57 zenon_Heb zenon_H98.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.54/8.77 apply (zenon_L201_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.54/8.77 apply (zenon_L35_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.54/8.77 apply (zenon_L409_); trivial.
% 8.54/8.77 apply (zenon_L53_); trivial.
% 8.54/8.77 (* end of lemma zenon_L489_ *)
% 8.54/8.77 assert (zenon_L490_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 8.54/8.77 do 0 intro. intros zenon_Hba zenon_Heb zenon_H57 zenon_Hb4 zenon_H30 zenon_Hc2 zenon_H331 zenon_Ha3 zenon_H2a zenon_H2d2 zenon_H98 zenon_H108 zenon_Ha8.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.54/8.77 apply (zenon_L489_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.54/8.77 apply (zenon_L31_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.54/8.77 apply (zenon_L358_); trivial.
% 8.54/8.77 apply (zenon_L471_); trivial.
% 8.54/8.77 (* end of lemma zenon_L490_ *)
% 8.54/8.77 assert (zenon_L491_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 8.54/8.77 do 0 intro. intros zenon_Hba zenon_Hc2 zenon_Hac zenon_Ha3 zenon_H2a zenon_H2d2 zenon_H98 zenon_H108 zenon_Ha8.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.54/8.77 apply (zenon_L426_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.54/8.77 apply (zenon_L31_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.54/8.77 apply (zenon_L358_); trivial.
% 8.54/8.77 apply (zenon_L471_); trivial.
% 8.54/8.77 (* end of lemma zenon_L491_ *)
% 8.54/8.77 assert (zenon_L492_ : (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e2)) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H59 zenon_H98 zenon_He8.
% 8.54/8.77 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))).
% 8.54/8.77 intro zenon_D_pnotp.
% 8.54/8.77 apply zenon_H59.
% 8.54/8.77 rewrite <- zenon_D_pnotp.
% 8.54/8.77 exact zenon_H98.
% 8.54/8.77 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.77 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H334].
% 8.54/8.77 congruence.
% 8.54/8.77 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ].
% 8.54/8.77 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))).
% 8.54/8.77 intro zenon_D_pnotp.
% 8.54/8.77 apply zenon_H334.
% 8.54/8.77 rewrite <- zenon_D_pnotp.
% 8.54/8.77 exact zenon_H5c.
% 8.54/8.77 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 8.54/8.77 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H335].
% 8.54/8.77 congruence.
% 8.54/8.77 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H321].
% 8.54/8.77 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.77 congruence.
% 8.54/8.77 apply zenon_H58. apply refl_equal.
% 8.54/8.77 exact (zenon_H321 zenon_He8).
% 8.54/8.77 apply zenon_H5d. apply refl_equal.
% 8.54/8.77 apply zenon_H5d. apply refl_equal.
% 8.54/8.77 apply zenon_H58. apply refl_equal.
% 8.54/8.77 (* end of lemma zenon_L492_ *)
% 8.54/8.77 assert (zenon_L493_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H22d zenon_H78 zenon_H329 zenon_Ha8 zenon_H2d2 zenon_Ha3 zenon_Hc2 zenon_Hba zenon_H31 zenon_H2a2 zenon_H10c zenon_H145 zenon_H7d zenon_H170 zenon_Hb7 zenon_H74 zenon_Hab zenon_H153 zenon_Hc5 zenon_Hb4 zenon_H331 zenon_H11e zenon_H137 zenon_H29f zenon_H2a4 zenon_H2a5 zenon_H36 zenon_H2a zenon_H12b zenon_Hc8 zenon_Heb zenon_H98.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.54/8.77 apply (zenon_L79_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.54/8.77 apply (zenon_L488_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.54/8.77 apply (zenon_L70_); trivial.
% 8.54/8.77 apply (zenon_L394_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.77 apply (zenon_L10_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.77 apply (zenon_L4_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.77 apply (zenon_L305_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.77 apply (zenon_L46_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.54/8.77 apply (zenon_L426_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.54/8.77 apply (zenon_L31_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.54/8.77 apply (zenon_L32_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.54/8.77 apply (zenon_L303_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.54/8.77 apply (zenon_L36_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.54/8.77 apply (zenon_L102_); trivial.
% 8.54/8.77 apply (zenon_L42_); trivial.
% 8.54/8.77 apply (zenon_L490_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.77 apply (zenon_L100_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.77 apply (zenon_L84_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.77 apply (zenon_L46_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.54/8.77 apply (zenon_L489_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.54/8.77 apply (zenon_L31_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.54/8.77 apply (zenon_L32_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.54/8.77 apply (zenon_L303_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.54/8.77 apply (zenon_L36_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.54/8.77 apply (zenon_L102_); trivial.
% 8.54/8.77 apply (zenon_L111_); trivial.
% 8.54/8.77 apply (zenon_L490_); trivial.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.77 apply (zenon_L4_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.54/8.77 apply (zenon_L394_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.54/8.77 apply (zenon_L491_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.54/8.77 apply (zenon_L75_); trivial.
% 8.54/8.77 apply (zenon_L492_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.77 apply (zenon_L83_); trivial.
% 8.54/8.77 apply (zenon_L416_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.77 apply (zenon_L5_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.77 apply (zenon_L75_); trivial.
% 8.54/8.77 apply (zenon_L53_); trivial.
% 8.54/8.77 (* end of lemma zenon_L493_ *)
% 8.54/8.77 assert (zenon_L494_ : (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H67 zenon_H150 zenon_H6c zenon_H105 zenon_Hd0 zenon_H322 zenon_H27f zenon_H16d zenon_He4 zenon_H2a1 zenon_Hbf zenon_H303 zenon_H1d3 zenon_H2df zenon_H2f3 zenon_H1f zenon_H270 zenon_H2b5 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H295 zenon_H19a zenon_H2c9 zenon_H282 zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H2a3 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2bf zenon_H124 zenon_H11f zenon_H2fc zenon_H129 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H32e zenon_H2d4 zenon_H3a zenon_H22e zenon_H25 zenon_H127 zenon_H1f6 zenon_H197 zenon_H2b8 zenon_H192 zenon_H1d7 zenon_H1d9 zenon_H2b zenon_H173 zenon_H22d zenon_H78 zenon_H329 zenon_Ha8 zenon_H2d2 zenon_Ha3 zenon_Hc2 zenon_Hba zenon_H31 zenon_H2a2 zenon_H10c zenon_H145 zenon_H7d zenon_H170 zenon_Hb7 zenon_H74 zenon_Hab zenon_H153 zenon_Hc5 zenon_Hb4 zenon_H331 zenon_H11e zenon_H137 zenon_H29f zenon_H2a4 zenon_H2a5 zenon_H36 zenon_H2a zenon_H12b zenon_Hc8 zenon_Heb.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.77 apply (zenon_L303_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.77 apply (zenon_L5_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.77 apply (zenon_L75_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.77 apply (zenon_L2_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.77 apply (zenon_L485_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.77 apply (zenon_L83_); trivial.
% 8.54/8.77 apply (zenon_L487_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.54/8.77 apply (zenon_L3_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.54/8.77 apply (zenon_L112_); trivial.
% 8.54/8.77 apply (zenon_L493_); trivial.
% 8.54/8.77 (* end of lemma zenon_L494_ *)
% 8.54/8.77 assert (zenon_L495_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.54/8.77 do 0 intro. intros zenon_H90 zenon_H300 zenon_H2f8 zenon_H134 zenon_H336 zenon_H94 zenon_Heb zenon_H11e zenon_H331 zenon_Hba zenon_H303 zenon_Hbf zenon_He4 zenon_H322 zenon_H105 zenon_H1d3 zenon_H2df zenon_H2f3 zenon_Hd0 zenon_H16d zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_Hb7 zenon_H6c zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H27f zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H2a3 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2bf zenon_H124 zenon_H11f zenon_H36 zenon_H2fc zenon_H12b zenon_H129 zenon_H2a5 zenon_H329 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H32e zenon_Hb4 zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_H2a2 zenon_H3a zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_H31 zenon_H127 zenon_H78 zenon_H7d zenon_H1f6 zenon_Hc2 zenon_Hab zenon_H2b zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H192 zenon_Ha8 zenon_H1d7 zenon_H22d zenon_H173 zenon_Hc8 zenon_H1d9.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f4 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.54/8.77 apply (zenon_L72_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.77 apply (zenon_L73_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.77 apply (zenon_L74_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.77 apply (zenon_L75_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.77 apply (zenon_L76_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.77 apply (zenon_L77_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.77 apply (zenon_L78_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.54/8.77 apply (zenon_L79_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.54/8.77 apply (zenon_L80_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.54/8.77 apply (zenon_L70_); trivial.
% 8.54/8.77 apply (zenon_L81_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.77 apply (zenon_L1_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.77 apply (zenon_L82_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.77 apply (zenon_L83_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.54/8.77 apply (zenon_L79_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.54/8.77 apply (zenon_L80_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.54/8.77 apply (zenon_L84_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.54/8.77 apply (zenon_L85_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.54/8.77 apply (zenon_L86_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.77 apply (zenon_L73_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.77 apply (zenon_L90_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.77 apply (zenon_L92_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.54/8.77 apply (zenon_L66_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.54/8.77 apply (zenon_L95_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.54/8.77 apply (zenon_L96_); trivial.
% 8.54/8.77 apply (zenon_L89_); trivial.
% 8.54/8.77 apply (zenon_L98_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.77 apply (zenon_L77_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.77 apply (zenon_L78_); trivial.
% 8.54/8.77 apply (zenon_L95_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.77 apply (zenon_L1_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.54/8.77 apply (zenon_L77_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.54/8.77 apply (zenon_L3_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.54/8.77 apply (zenon_L99_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.54/8.77 apply (zenon_L100_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.54/8.77 apply (zenon_L101_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.54/8.77 apply (zenon_L102_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.54/8.77 apply (zenon_L44_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.54/8.77 apply (zenon_L103_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.54/8.77 apply (zenon_L104_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.54/8.77 apply (zenon_L105_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.54/8.77 apply (zenon_L106_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.54/8.77 apply (zenon_L108_); trivial.
% 8.54/8.77 apply (zenon_L109_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.77 apply (zenon_L100_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.54/8.77 apply (zenon_L72_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.54/8.77 apply (zenon_L110_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.54/8.77 apply (zenon_L102_); trivial.
% 8.54/8.77 apply (zenon_L111_); trivial.
% 8.54/8.77 apply (zenon_L16_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.54/8.77 apply (zenon_L112_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.54/8.77 apply (zenon_L73_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.77 apply (zenon_L113_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.77 apply (zenon_L114_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.77 apply (zenon_L116_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.77 apply (zenon_L118_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.77 apply (zenon_L120_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.77 apply (zenon_L121_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.77 apply (zenon_L122_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d. zenon_intro zenon_H1d2.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_Hac. zenon_intro zenon_H1c7.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.54/8.77 apply (zenon_L123_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.54/8.77 apply (zenon_L124_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.54/8.77 apply (zenon_L127_); trivial.
% 8.54/8.77 apply (zenon_L53_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.77 apply (zenon_L129_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.77 apply (zenon_L130_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.77 apply (zenon_L131_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.77 apply (zenon_L132_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.77 apply (zenon_L135_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.77 apply (zenon_L136_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.77 apply (zenon_L137_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.77 apply (zenon_L138_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.77 apply (zenon_L139_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.77 apply (zenon_L140_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.77 apply (zenon_L141_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.77 apply (zenon_L142_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.77 apply (zenon_L143_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.77 apply (zenon_L144_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.77 apply (zenon_L146_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.77 apply (zenon_L147_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.77 apply (zenon_L148_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.77 apply (zenon_L151_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.77 apply (zenon_L152_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.77 apply (zenon_L153_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.77 apply (zenon_L355_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.77 apply (zenon_L356_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H35. zenon_intro zenon_H1e7.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Hf4. zenon_intro zenon_H1d6.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.77 apply (zenon_L127_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.77 apply (zenon_L357_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.77 apply (zenon_L186_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.77 apply (zenon_L360_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.77 apply (zenon_L188_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.77 apply (zenon_L361_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.77 apply (zenon_L316_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.77 apply (zenon_L362_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.77 apply (zenon_L364_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.77 apply (zenon_L365_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.77 apply (zenon_L241_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.77 apply (zenon_L242_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.77 apply (zenon_L366_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.77 apply (zenon_L272_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.77 apply (zenon_L273_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.77 apply (zenon_L367_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.77 apply (zenon_L369_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.77 apply (zenon_L370_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.77 apply (zenon_L274_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.77 apply (zenon_L275_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.77 apply (zenon_L371_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.77 apply (zenon_L373_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.77 apply (zenon_L374_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.77 apply (zenon_L376_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.77 apply (zenon_L377_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.77 apply (zenon_L378_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.77 apply (zenon_L379_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.77 apply (zenon_L380_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.77 apply (zenon_L381_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.77 apply (zenon_L382_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.77 apply (zenon_L383_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.77 apply (zenon_L386_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.77 apply (zenon_L387_); trivial.
% 8.54/8.77 apply (zenon_L388_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.77 apply (zenon_L113_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.77 apply (zenon_L114_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.77 apply (zenon_L116_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.77 apply (zenon_L118_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.77 apply (zenon_L120_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.77 apply (zenon_L121_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.77 apply (zenon_L277_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.77 apply (zenon_L389_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.77 apply (zenon_L129_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.77 apply (zenon_L278_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.77 apply (zenon_L131_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.77 apply (zenon_L164_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.77 apply (zenon_L135_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.77 apply (zenon_L136_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.77 apply (zenon_L137_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.77 apply (zenon_L138_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.77 apply (zenon_L139_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.77 apply (zenon_L140_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.77 apply (zenon_L141_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.77 apply (zenon_L142_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.77 apply (zenon_L143_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.77 apply (zenon_L144_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.77 apply (zenon_L146_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.77 apply (zenon_L147_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.77 apply (zenon_L390_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.77 apply (zenon_L151_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.77 apply (zenon_L152_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.77 apply (zenon_L153_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.77 apply (zenon_L355_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.77 apply (zenon_L356_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H35. zenon_intro zenon_H1e7.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Hf4. zenon_intro zenon_H1d6.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.54/8.77 apply (zenon_L1_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.54/8.77 apply (zenon_L82_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.54/8.77 apply (zenon_L83_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.54/8.77 apply (zenon_L79_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.54/8.77 apply (zenon_L80_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.54/8.77 apply (zenon_L393_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.54/8.77 apply (zenon_L244_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.54/8.77 apply (zenon_L247_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.54/8.77 apply (zenon_L394_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.54/8.77 apply (zenon_L263_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.54/8.77 apply (zenon_L405_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H24 | zenon_intro zenon_H301 ].
% 8.54/8.77 apply (zenon_L72_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H71 | zenon_intro zenon_H302 ].
% 8.54/8.77 apply (zenon_L19_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7e | zenon_intro zenon_H276 ].
% 8.54/8.77 apply (zenon_L392_); trivial.
% 8.54/8.77 apply (zenon_L399_); trivial.
% 8.54/8.77 apply (zenon_L375_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.77 apply (zenon_L313_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.77 apply (zenon_L404_); trivial.
% 8.54/8.77 apply (zenon_L246_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.77 apply (zenon_L357_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.77 apply (zenon_L186_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.77 apply (zenon_L360_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.77 apply (zenon_L188_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.77 apply (zenon_L406_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.77 apply (zenon_L316_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.77 apply (zenon_L317_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.77 apply (zenon_L364_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.77 apply (zenon_L279_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.77 apply (zenon_L241_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.77 apply (zenon_L242_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.77 apply (zenon_L366_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.77 apply (zenon_L272_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.77 apply (zenon_L407_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.77 apply (zenon_L367_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.77 apply (zenon_L369_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.77 apply (zenon_L370_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.77 apply (zenon_L274_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.77 apply (zenon_L281_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.77 apply (zenon_L276_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.77 apply (zenon_L373_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.77 apply (zenon_L374_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.77 apply (zenon_L408_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.77 apply (zenon_L377_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.77 apply (zenon_L378_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H98. zenon_intro zenon_H21e.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H195. zenon_intro zenon_H19f.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.54/8.77 apply (zenon_L393_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.54/8.77 apply (zenon_L77_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.54/8.77 apply (zenon_L23_); trivial.
% 8.54/8.77 apply (zenon_L246_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.77 apply (zenon_L380_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.77 apply (zenon_L381_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.77 apply (zenon_L382_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.77 apply (zenon_L383_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.77 apply (zenon_L386_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.77 apply (zenon_L387_); trivial.
% 8.54/8.77 apply (zenon_L388_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.77 apply (zenon_L113_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.77 apply (zenon_L114_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.77 apply (zenon_L282_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.77 apply (zenon_L118_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.77 apply (zenon_L120_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.77 apply (zenon_L121_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.77 apply (zenon_L283_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d. zenon_intro zenon_H1d2.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_Hac. zenon_intro zenon_H1c7.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.54/8.77 apply (zenon_L310_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.54/8.77 apply (zenon_L33_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.54/8.77 apply (zenon_L102_); trivial.
% 8.54/8.77 apply (zenon_L42_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.77 apply (zenon_L129_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.77 apply (zenon_L284_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.77 apply (zenon_L131_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.77 apply (zenon_L285_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.77 apply (zenon_L135_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.77 apply (zenon_L136_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.77 apply (zenon_L410_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.77 apply (zenon_L138_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.77 apply (zenon_L139_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.77 apply (zenon_L140_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.77 apply (zenon_L286_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.77 apply (zenon_L142_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.77 apply (zenon_L143_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.77 apply (zenon_L144_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.77 apply (zenon_L146_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.77 apply (zenon_L147_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.77 apply (zenon_L411_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.77 apply (zenon_L151_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.77 apply (zenon_L152_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.77 apply (zenon_L287_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.77 apply (zenon_L355_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.77 apply (zenon_L356_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.77 apply (zenon_L412_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.77 apply (zenon_L357_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.77 apply (zenon_L186_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.77 apply (zenon_L360_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.77 apply (zenon_L188_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.77 apply (zenon_L406_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.77 apply (zenon_L316_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.77 apply (zenon_L362_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.77 apply (zenon_L364_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.77 apply (zenon_L365_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.77 apply (zenon_L241_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.77 apply (zenon_L242_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.77 apply (zenon_L366_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.77 apply (zenon_L272_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.77 apply (zenon_L407_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.77 apply (zenon_L367_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.77 apply (zenon_L369_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.77 apply (zenon_L370_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.77 apply (zenon_L274_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.77 apply (zenon_L413_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.77 apply (zenon_L293_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.77 apply (zenon_L373_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.77 apply (zenon_L374_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.77 apply (zenon_L376_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.77 apply (zenon_L414_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.77 apply (zenon_L378_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.77 apply (zenon_L415_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.77 apply (zenon_L380_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.77 apply (zenon_L381_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.77 apply (zenon_L382_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.77 apply (zenon_L383_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.77 apply (zenon_L386_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.77 apply (zenon_L387_); trivial.
% 8.54/8.77 apply (zenon_L388_); trivial.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.54/8.77 apply (zenon_L113_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.54/8.77 apply (zenon_L114_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.54/8.77 apply (zenon_L116_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.54/8.77 apply (zenon_L417_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.54/8.77 apply (zenon_L120_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.54/8.77 apply (zenon_L121_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.54/8.77 apply (zenon_L122_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.54/8.77 apply (zenon_L333_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.54/8.77 apply (zenon_L129_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.54/8.77 apply (zenon_L130_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.54/8.77 apply (zenon_L131_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.54/8.77 apply (zenon_L164_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.54/8.77 apply (zenon_L135_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.54/8.77 apply (zenon_L136_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.54/8.77 apply (zenon_L418_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.54/8.77 apply (zenon_L138_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.54/8.77 apply (zenon_L139_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.54/8.77 apply (zenon_L140_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.54/8.77 apply (zenon_L141_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.54/8.77 apply (zenon_L419_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.54/8.77 apply (zenon_L143_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.54/8.77 apply (zenon_L144_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.54/8.77 apply (zenon_L146_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.54/8.77 apply (zenon_L147_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.54/8.77 apply (zenon_L420_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.54/8.77 apply (zenon_L151_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.54/8.77 apply (zenon_L152_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.54/8.77 apply (zenon_L297_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.54/8.77 apply (zenon_L298_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.54/8.77 apply (zenon_L356_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.54/8.77 apply (zenon_L421_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.54/8.77 apply (zenon_L357_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.54/8.77 apply (zenon_L186_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.54/8.77 apply (zenon_L360_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.54/8.77 apply (zenon_L188_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.54/8.77 apply (zenon_L422_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.54/8.77 apply (zenon_L316_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.54/8.77 apply (zenon_L317_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.54/8.77 apply (zenon_L364_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.54/8.77 apply (zenon_L335_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.54/8.77 apply (zenon_L241_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.54/8.77 apply (zenon_L242_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.54/8.77 apply (zenon_L366_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.54/8.77 apply (zenon_L299_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.54/8.77 apply (zenon_L300_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.54/8.77 apply (zenon_L423_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.54/8.77 apply (zenon_L369_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.54/8.77 apply (zenon_L370_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.54/8.77 apply (zenon_L274_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.54/8.77 apply (zenon_L413_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.54/8.77 apply (zenon_L425_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.54/8.77 apply (zenon_L373_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.54/8.77 apply (zenon_L374_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.54/8.77 apply (zenon_L408_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.54/8.77 apply (zenon_L377_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.54/8.77 apply (zenon_L378_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H98. zenon_intro zenon_H21e.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H195. zenon_intro zenon_H19f.
% 8.54/8.77 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.54/8.77 apply (zenon_L420_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.54/8.77 apply (zenon_L380_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.54/8.77 apply (zenon_L381_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.54/8.77 apply (zenon_L382_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.54/8.77 apply (zenon_L383_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.54/8.77 apply (zenon_L386_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.54/8.77 apply (zenon_L387_); trivial.
% 8.54/8.77 apply (zenon_L388_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.54/8.77 apply (zenon_L75_); trivial.
% 8.54/8.77 apply (zenon_L53_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2a | zenon_intro zenon_H2f5 ].
% 8.54/8.77 apply (zenon_L494_); trivial.
% 8.54/8.77 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1b1 ].
% 8.54/8.77 apply (zenon_L125_); trivial.
% 8.54/8.77 apply (zenon_L484_); trivial.
% 8.54/8.77 (* end of lemma zenon_L495_ *)
% 8.54/8.77 assert (zenon_L496_ : ((op (e0) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1e zenon_H98 zenon_H71 zenon_H2a zenon_H9f zenon_H9a zenon_H3c zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_Ha8 zenon_H192 zenon_Ha3 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf9 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_H16d zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_Hf0 zenon_H7d.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.54/8.78 apply (zenon_L21_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.54/8.78 apply (zenon_L43_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.54/8.78 apply (zenon_L495_); trivial.
% 8.54/8.78 apply (zenon_L55_); trivial.
% 8.54/8.78 (* end of lemma zenon_L496_ *)
% 8.54/8.78 assert (zenon_L497_ : ((op (e0) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1e zenon_H98 zenon_H3c zenon_Hd6 zenon_Hed zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_Ha8 zenon_H192 zenon_Ha3 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf9 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_H16d zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_Hf0 zenon_H7d.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.54/8.78 apply (zenon_L21_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.54/8.78 apply (zenon_L54_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.54/8.78 apply (zenon_L495_); trivial.
% 8.54/8.78 apply (zenon_L55_); trivial.
% 8.54/8.78 (* end of lemma zenon_L497_ *)
% 8.54/8.78 assert (zenon_L498_ : ((op (e1) (e1)) = (e1)) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H2a zenon_H1e zenon_H98 zenon_H3c zenon_Hd6 zenon_Hed zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_Ha8 zenon_H192 zenon_Ha3 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf9 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_H16d zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_H7d.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.54/8.78 apply (zenon_L87_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.54/8.78 apply (zenon_L20_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.54/8.78 apply (zenon_L58_); trivial.
% 8.54/8.78 apply (zenon_L497_); trivial.
% 8.54/8.78 (* end of lemma zenon_L498_ *)
% 8.54/8.78 assert (zenon_L499_ : (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H67 zenon_H73 zenon_Hac.
% 8.54/8.78 cut (((op (e1) (e0)) = (e1)) = ((e0) = (e1))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H67.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H73.
% 8.54/8.78 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.78 cut (((op (e1) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 8.54/8.78 congruence.
% 8.54/8.78 exact (zenon_H142 zenon_Hac).
% 8.54/8.78 apply zenon_H40. apply refl_equal.
% 8.54/8.78 (* end of lemma zenon_L499_ *)
% 8.54/8.78 assert (zenon_L500_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H109 zenon_Hd1 zenon_H10f.
% 8.54/8.78 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H109.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_Hd1.
% 8.54/8.78 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 8.54/8.78 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.54/8.78 congruence.
% 8.54/8.78 apply zenon_H38. apply refl_equal.
% 8.54/8.78 apply zenon_H14d. apply sym_equal. exact zenon_H10f.
% 8.54/8.78 (* end of lemma zenon_L500_ *)
% 8.54/8.78 assert (zenon_L501_ : ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H5a zenon_H195 zenon_He7.
% 8.54/8.78 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H149 | zenon_intro zenon_H14a ].
% 8.54/8.78 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_He7.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H149.
% 8.54/8.78 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 8.54/8.78 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e2) (e3)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H339.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H5a.
% 8.54/8.78 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 8.54/8.78 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 8.54/8.78 congruence.
% 8.54/8.78 apply zenon_H14a. apply refl_equal.
% 8.54/8.78 apply zenon_H2d7. apply sym_equal. exact zenon_H195.
% 8.54/8.78 apply zenon_H14a. apply refl_equal.
% 8.54/8.78 apply zenon_H14a. apply refl_equal.
% 8.54/8.78 (* end of lemma zenon_L501_ *)
% 8.54/8.78 assert (zenon_L502_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H2d8 zenon_Hd1 zenon_H109 zenon_H15a zenon_H197 zenon_H3b zenon_H3a zenon_H5a zenon_He7.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H2d9 ].
% 8.54/8.78 apply (zenon_L500_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H16b | zenon_intro zenon_H2da ].
% 8.54/8.78 apply (zenon_L472_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3c | zenon_intro zenon_H195 ].
% 8.54/8.78 apply (zenon_L6_); trivial.
% 8.54/8.78 apply (zenon_L501_); trivial.
% 8.54/8.78 (* end of lemma zenon_L502_ *)
% 8.54/8.78 assert (zenon_L503_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H105 zenon_Hd4 zenon_H16b zenon_Hff zenon_H108 zenon_Hd0 zenon_H5a zenon_He4.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.54/8.78 apply (zenon_L66_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.54/8.78 apply (zenon_L107_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.54/8.78 apply (zenon_L88_); trivial.
% 8.54/8.78 apply (zenon_L89_); trivial.
% 8.54/8.78 (* end of lemma zenon_L503_ *)
% 8.54/8.78 assert (zenon_L504_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H2d8 zenon_H143 zenon_H12b zenon_He4 zenon_Hd0 zenon_H108 zenon_Hff zenon_Hd4 zenon_H105 zenon_H3b zenon_H3a zenon_H5a zenon_He7.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H2d9 ].
% 8.54/8.78 apply (zenon_L253_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H16b | zenon_intro zenon_H2da ].
% 8.54/8.78 apply (zenon_L503_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3c | zenon_intro zenon_H195 ].
% 8.54/8.78 apply (zenon_L6_); trivial.
% 8.54/8.78 apply (zenon_L501_); trivial.
% 8.54/8.78 (* end of lemma zenon_L504_ *)
% 8.54/8.78 assert (zenon_L505_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H329 zenon_H7d zenon_Hd6 zenon_He7 zenon_H105 zenon_Hd4 zenon_Hff zenon_Hd0 zenon_He4 zenon_H12b zenon_H143 zenon_H2d8 zenon_H3b zenon_H3a zenon_Ha8 zenon_H5a.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.54/8.78 apply (zenon_L81_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.54/8.78 apply (zenon_L504_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.54/8.78 apply (zenon_L6_); trivial.
% 8.54/8.78 apply (zenon_L439_); trivial.
% 8.54/8.78 (* end of lemma zenon_L505_ *)
% 8.54/8.78 assert (zenon_L506_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H2b5 zenon_H197 zenon_H15a zenon_H109 zenon_He5 zenon_He7 zenon_H3a zenon_H3b zenon_H105 zenon_Hd4 zenon_Hff zenon_Hd0 zenon_He4 zenon_H12b zenon_H143 zenon_H2d8 zenon_H5a zenon_H16d.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.54/8.78 apply (zenon_L502_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.54/8.78 apply (zenon_L267_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.54/8.78 apply (zenon_L504_); trivial.
% 8.54/8.78 apply (zenon_L109_); trivial.
% 8.54/8.78 (* end of lemma zenon_L506_ *)
% 8.54/8.78 assert (zenon_L507_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H2b8 zenon_Ha8 zenon_H7d zenon_H329 zenon_Hb4 zenon_H73 zenon_H2b5 zenon_H197 zenon_H15a zenon_H109 zenon_He7 zenon_H3a zenon_H3b zenon_H105 zenon_Hd4 zenon_Hff zenon_Hd0 zenon_He4 zenon_H12b zenon_H143 zenon_H2d8 zenon_H5a zenon_H16d.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.54/8.78 apply (zenon_L505_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.54/8.78 apply (zenon_L119_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.54/8.78 apply (zenon_L472_); trivial.
% 8.54/8.78 apply (zenon_L506_); trivial.
% 8.54/8.78 (* end of lemma zenon_L507_ *)
% 8.54/8.78 assert (zenon_L508_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H73 zenon_Hb0 zenon_H7d.
% 8.54/8.78 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.54/8.78 cut (((e2) = (e2)) = ((e1) = (e2))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H7d.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H79.
% 8.54/8.78 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.54/8.78 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_Hce.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H73.
% 8.54/8.78 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.78 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2c8].
% 8.54/8.78 congruence.
% 8.54/8.78 exact (zenon_H2c8 zenon_Hb0).
% 8.54/8.78 apply zenon_H40. apply refl_equal.
% 8.54/8.78 apply zenon_H4b. apply refl_equal.
% 8.54/8.78 apply zenon_H4b. apply refl_equal.
% 8.54/8.78 (* end of lemma zenon_L508_ *)
% 8.54/8.78 assert (zenon_L509_ : ((op (e2) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H191 zenon_Hcc zenon_H2c9.
% 8.54/8.78 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H193 | zenon_intro zenon_H16a ].
% 8.54/8.78 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H2c9.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H193.
% 8.54/8.78 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.54/8.78 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33a].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e1) (e1)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H33a.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H191.
% 8.54/8.78 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 8.54/8.78 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.54/8.78 congruence.
% 8.54/8.78 apply zenon_H16a. apply refl_equal.
% 8.54/8.78 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 8.54/8.78 apply zenon_H16a. apply refl_equal.
% 8.54/8.78 apply zenon_H16a. apply refl_equal.
% 8.54/8.78 (* end of lemma zenon_L509_ *)
% 8.54/8.78 assert (zenon_L510_ : (~((op (op (e1) (e1)) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H33b zenon_Hcc.
% 8.54/8.78 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.78 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 8.54/8.78 congruence.
% 8.54/8.78 exact (zenon_Hcf zenon_Hcc).
% 8.54/8.78 apply zenon_H40. apply refl_equal.
% 8.54/8.78 (* end of lemma zenon_L510_ *)
% 8.54/8.78 assert (zenon_L511_ : ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((e3) = (op (op (e1) (e1)) (e1)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H196 zenon_Hcc zenon_H33c.
% 8.54/8.78 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e3) = (op (op (e1) (e1)) (e1)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H33c.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H33d.
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H33f].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e2) (e1)) = (e3)) = ((op (op (e1) (e1)) (e1)) = (e3))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H33f.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H196.
% 8.54/8.78 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.78 cut (((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H340].
% 8.54/8.78 congruence.
% 8.54/8.78 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H340.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H33d.
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33b].
% 8.54/8.78 congruence.
% 8.54/8.78 apply (zenon_L510_); trivial.
% 8.54/8.78 apply zenon_H33e. apply refl_equal.
% 8.54/8.78 apply zenon_H33e. apply refl_equal.
% 8.54/8.78 apply zenon_H58. apply refl_equal.
% 8.54/8.78 apply zenon_H33e. apply refl_equal.
% 8.54/8.78 apply zenon_H33e. apply refl_equal.
% 8.54/8.78 (* end of lemma zenon_L511_ *)
% 8.54/8.78 assert (zenon_L512_ : ((op (e3) (e2)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_Hc3 zenon_H196 zenon_Hcc.
% 8.54/8.78 apply (zenon_notand_s _ _ ax20); [ zenon_intro zenon_Hcd | zenon_intro zenon_H341 ].
% 8.54/8.78 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 8.54/8.78 apply (zenon_notand_s _ _ zenon_H341); [ zenon_intro zenon_H342 | zenon_intro zenon_H33c ].
% 8.54/8.78 elim (classic ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H343 | zenon_intro zenon_H344 ].
% 8.54/8.78 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) = ((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H342.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H343.
% 8.54/8.78 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 8.54/8.78 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H345].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e3) (e2)) = (e0)) = ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (e0))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H345.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_Hc3.
% 8.54/8.78 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.78 cut (((op (e3) (e2)) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H346].
% 8.54/8.78 congruence.
% 8.54/8.78 elim (classic ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H343 | zenon_intro zenon_H344 ].
% 8.54/8.78 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) = ((op (e3) (e2)) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H346.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H343.
% 8.54/8.78 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 8.54/8.78 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H347].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H33f].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e2) (e1)) = (e3)) = ((op (op (e1) (e1)) (e1)) = (e3))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H33f.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H196.
% 8.54/8.78 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.54/8.78 cut (((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H340].
% 8.54/8.78 congruence.
% 8.54/8.78 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H340.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H33d.
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.54/8.78 cut (((op (op (e1) (e1)) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33b].
% 8.54/8.78 congruence.
% 8.54/8.78 apply (zenon_L510_); trivial.
% 8.54/8.78 apply zenon_H33e. apply refl_equal.
% 8.54/8.78 apply zenon_H33e. apply refl_equal.
% 8.54/8.78 apply zenon_H58. apply refl_equal.
% 8.54/8.78 exact (zenon_Hcf zenon_Hcc).
% 8.54/8.78 apply zenon_H344. apply refl_equal.
% 8.54/8.78 apply zenon_H344. apply refl_equal.
% 8.54/8.78 apply zenon_H3f. apply refl_equal.
% 8.54/8.78 apply zenon_H344. apply refl_equal.
% 8.54/8.78 apply zenon_H344. apply refl_equal.
% 8.54/8.78 apply (zenon_L511_); trivial.
% 8.54/8.78 (* end of lemma zenon_L512_ *)
% 8.54/8.78 assert (zenon_L513_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H9a zenon_H3b zenon_Hbd.
% 8.54/8.78 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H9a.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H3b.
% 8.54/8.78 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d3].
% 8.54/8.78 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 8.54/8.78 congruence.
% 8.54/8.78 apply zenon_H3e. apply refl_equal.
% 8.54/8.78 apply zenon_H2d3. apply sym_equal. exact zenon_Hbd.
% 8.54/8.78 (* end of lemma zenon_L513_ *)
% 8.54/8.78 assert (zenon_L514_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((e0) = (e1))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H181 zenon_H67.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H1d. zenon_intro zenon_H182.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_Hac. zenon_intro zenon_H183.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.54/8.78 apply (zenon_L77_); trivial.
% 8.54/8.78 (* end of lemma zenon_L514_ *)
% 8.54/8.78 assert (zenon_L515_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H184 zenon_H73 zenon_H74.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H1d. zenon_intro zenon_H185.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Hac. zenon_intro zenon_H186.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.54/8.78 apply (zenon_L20_); trivial.
% 8.54/8.78 (* end of lemma zenon_L515_ *)
% 8.54/8.78 assert (zenon_L516_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H187 zenon_H73 zenon_Hab.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H1d. zenon_intro zenon_H188.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Hac. zenon_intro zenon_H189.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.54/8.78 apply (zenon_L93_); trivial.
% 8.54/8.78 (* end of lemma zenon_L516_ *)
% 8.54/8.78 assert (zenon_L517_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1d1 zenon_H73 zenon_Hb4.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d. zenon_intro zenon_H1d2.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_Hac. zenon_intro zenon_H1c7.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.78 apply (zenon_L119_); trivial.
% 8.54/8.78 (* end of lemma zenon_L517_ *)
% 8.54/8.78 assert (zenon_L518_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1a0 zenon_H197 zenon_H3c.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.54/8.78 apply (zenon_L191_); trivial.
% 8.54/8.78 (* end of lemma zenon_L518_ *)
% 8.54/8.78 assert (zenon_L519_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1ae zenon_H1d9 zenon_H98.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.54/8.78 apply (zenon_L375_); trivial.
% 8.54/8.78 (* end of lemma zenon_L519_ *)
% 8.54/8.78 assert (zenon_L520_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (~((e0) = (e1))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1b9 zenon_H67.
% 8.54/8.78 apply (zenon_L140_); trivial.
% 8.54/8.78 (* end of lemma zenon_L520_ *)
% 8.54/8.78 assert (zenon_L521_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1bb zenon_H1d zenon_H124.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H73. zenon_intro zenon_H1bc.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H6b. zenon_intro zenon_H17d.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.54/8.78 apply (zenon_L72_); trivial.
% 8.54/8.78 (* end of lemma zenon_L521_ *)
% 8.54/8.78 assert (zenon_L522_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1bf zenon_H6c.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H2a. zenon_intro zenon_H1c0.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H2a. zenon_intro zenon_H183.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.54/8.78 apply (zenon_L18_); trivial.
% 8.54/8.78 (* end of lemma zenon_L522_ *)
% 8.54/8.78 assert (zenon_L523_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1c1 zenon_H73 zenon_H74.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H2a. zenon_intro zenon_H1c2.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H2a. zenon_intro zenon_H186.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.54/8.78 apply (zenon_L20_); trivial.
% 8.54/8.78 (* end of lemma zenon_L523_ *)
% 8.54/8.78 assert (zenon_L524_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1c5 zenon_H36.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H2a. zenon_intro zenon_H1c6.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H2a. zenon_intro zenon_H1c7.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.78 apply (zenon_L5_); trivial.
% 8.54/8.78 (* end of lemma zenon_L524_ *)
% 8.54/8.78 assert (zenon_L525_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1ce zenon_H73 zenon_Hab.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H29. zenon_intro zenon_H1cf.
% 8.54/8.78 apply (zenon_L93_); trivial.
% 8.54/8.78 (* end of lemma zenon_L525_ *)
% 8.54/8.78 assert (zenon_L526_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1e6 zenon_H73 zenon_Hb4.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H35. zenon_intro zenon_H1e7.
% 8.54/8.78 apply (zenon_L119_); trivial.
% 8.54/8.78 (* end of lemma zenon_L526_ *)
% 8.54/8.78 assert (zenon_L527_ : (~((op (e0) (op (e0) (e1))) = (e1))) -> ((op (e0) (e1)) = (e1)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H2aa zenon_H6b.
% 8.54/8.78 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (op (e0) (e1))) = (e1))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H2aa.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H6b.
% 8.54/8.78 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.54/8.78 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 8.54/8.78 congruence.
% 8.54/8.78 elim (classic ((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [ zenon_intro zenon_H349 | zenon_intro zenon_H34a ].
% 8.54/8.78 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e1))))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H348.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H349.
% 8.54/8.78 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H34a].
% 8.54/8.78 cut (((op (e0) (op (e0) (e1))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H34b].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 8.54/8.78 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.54/8.78 congruence.
% 8.54/8.78 apply zenon_H3f. apply refl_equal.
% 8.54/8.78 exact (zenon_H133 zenon_H6b).
% 8.54/8.78 apply zenon_H34a. apply refl_equal.
% 8.54/8.78 apply zenon_H34a. apply refl_equal.
% 8.54/8.78 apply zenon_H40. apply refl_equal.
% 8.54/8.78 (* end of lemma zenon_L527_ *)
% 8.54/8.78 assert (zenon_L528_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1f2 zenon_H2aa.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.54/8.78 apply (zenon_L527_); trivial.
% 8.54/8.78 (* end of lemma zenon_L528_ *)
% 8.54/8.78 assert (zenon_L529_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1f4 zenon_H73 zenon_H74.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H191. zenon_intro zenon_H1f5.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H93. zenon_intro zenon_H186.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.54/8.78 apply (zenon_L20_); trivial.
% 8.54/8.78 (* end of lemma zenon_L529_ *)
% 8.54/8.78 assert (zenon_L530_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H1fb zenon_H73 zenon_Hb4.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H191. zenon_intro zenon_H1fc.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H93. zenon_intro zenon_H1c7.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hf4. zenon_intro zenon_H35.
% 8.54/8.78 apply (zenon_L119_); trivial.
% 8.54/8.78 (* end of lemma zenon_L530_ *)
% 8.54/8.78 assert (zenon_L531_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H201 zenon_H3a zenon_H3c.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H3b. zenon_intro zenon_H202.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H3b. zenon_intro zenon_H1a5.
% 8.54/8.78 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.54/8.78 apply (zenon_L6_); trivial.
% 8.54/8.78 (* end of lemma zenon_L531_ *)
% 8.54/8.78 assert (zenon_L532_ : ((op (e1) (e3)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_Hb3 zenon_Ha7 zenon_H129.
% 8.54/8.78 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 8.54/8.78 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H129.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H37.
% 8.54/8.78 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.54/8.78 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H34c].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e1) (e2)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H34c.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_Hb3.
% 8.54/8.78 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 8.54/8.78 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 8.54/8.78 congruence.
% 8.54/8.78 apply zenon_H38. apply refl_equal.
% 8.54/8.78 apply zenon_H2f7. apply sym_equal. exact zenon_Ha7.
% 8.54/8.78 apply zenon_H38. apply refl_equal.
% 8.54/8.78 apply zenon_H38. apply refl_equal.
% 8.54/8.78 (* end of lemma zenon_L532_ *)
% 8.54/8.78 assert (zenon_L533_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H2f8 zenon_H24 zenon_H134 zenon_Hab zenon_H73 zenon_Hbd zenon_H2d2 zenon_Hb3 zenon_H129.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Had | zenon_intro zenon_H2f9 ].
% 8.54/8.78 apply (zenon_L397_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H29 | zenon_intro zenon_H2fa ].
% 8.54/8.78 apply (zenon_L93_); trivial.
% 8.54/8.78 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha7 ].
% 8.54/8.78 apply (zenon_L320_); trivial.
% 8.54/8.78 apply (zenon_L532_); trivial.
% 8.54/8.78 (* end of lemma zenon_L533_ *)
% 8.54/8.78 assert (zenon_L534_ : ((op (e2) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False).
% 8.54/8.78 do 0 intro. intros zenon_H15a zenon_H6b zenon_H164.
% 8.54/8.78 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H193 | zenon_intro zenon_H16a ].
% 8.54/8.78 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 8.54/8.78 intro zenon_D_pnotp.
% 8.54/8.78 apply zenon_H164.
% 8.54/8.78 rewrite <- zenon_D_pnotp.
% 8.54/8.78 exact zenon_H193.
% 8.54/8.78 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.54/8.78 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2ce].
% 8.54/8.78 congruence.
% 8.54/8.78 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e0) (e1)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H2ce.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H15a.
% 8.61/8.79 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 8.61/8.79 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H16a. apply refl_equal.
% 8.61/8.79 apply zenon_H70. apply sym_equal. exact zenon_H6b.
% 8.61/8.79 apply zenon_H16a. apply refl_equal.
% 8.61/8.79 apply zenon_H16a. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L534_ *)
% 8.61/8.79 assert (zenon_L535_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H19a zenon_H143 zenon_H192 zenon_H164 zenon_H6b zenon_H3c zenon_H197 zenon_H1b1 zenon_H169.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H165 | zenon_intro zenon_H19b ].
% 8.61/8.79 apply (zenon_L249_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H15a | zenon_intro zenon_H19c ].
% 8.61/8.79 apply (zenon_L534_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H196 ].
% 8.61/8.79 apply (zenon_L191_); trivial.
% 8.61/8.79 apply (zenon_L432_); trivial.
% 8.61/8.79 (* end of lemma zenon_L535_ *)
% 8.61/8.79 assert (zenon_L536_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1bb zenon_H19a zenon_H192 zenon_H164 zenon_H3c zenon_H197 zenon_H1b1 zenon_H169.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H73. zenon_intro zenon_H1bc.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H6b. zenon_intro zenon_H17d.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.61/8.79 apply (zenon_L535_); trivial.
% 8.61/8.79 (* end of lemma zenon_L536_ *)
% 8.61/8.79 assert (zenon_L537_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H211 zenon_H2f3 zenon_Hd0 zenon_H16d zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2b8 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_H145 zenon_Hb7 zenon_H6c zenon_Ha3 zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H10c zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H78 zenon_H2a2 zenon_H3a zenon_H170 zenon_H1f6 zenon_H22d zenon_Hc2 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H67 zenon_H12b zenon_H124 zenon_H25 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H1d3.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1a9. zenon_intro zenon_H212.
% 8.61/8.79 apply (zenon_L354_); trivial.
% 8.61/8.79 (* end of lemma zenon_L537_ *)
% 8.61/8.79 assert (zenon_L538_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H215 zenon_H2aa.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_Hb3. zenon_intro zenon_H183.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.61/8.79 apply (zenon_L527_); trivial.
% 8.61/8.79 (* end of lemma zenon_L538_ *)
% 8.61/8.79 assert (zenon_L539_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H217 zenon_H73 zenon_H74.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1b1. zenon_intro zenon_H218.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hb3. zenon_intro zenon_H186.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H2a. zenon_intro zenon_H2a.
% 8.61/8.79 apply (zenon_L20_); trivial.
% 8.61/8.79 (* end of lemma zenon_L539_ *)
% 8.61/8.79 assert (zenon_L540_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H219 zenon_H73 zenon_Hab.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H1b1. zenon_intro zenon_H21a.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Hb3. zenon_intro zenon_H189.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H15a. zenon_intro zenon_H29.
% 8.61/8.79 apply (zenon_L93_); trivial.
% 8.61/8.79 (* end of lemma zenon_L540_ *)
% 8.61/8.79 assert (zenon_L541_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H21f zenon_H197 zenon_H3c.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H98. zenon_intro zenon_H220.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H195. zenon_intro zenon_H1a2.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.61/8.79 apply (zenon_L191_); trivial.
% 8.61/8.79 (* end of lemma zenon_L541_ *)
% 8.61/8.79 assert (zenon_L542_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H221 zenon_H1d9 zenon_H1b1.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H98. zenon_intro zenon_H222.
% 8.61/8.79 apply (zenon_L375_); trivial.
% 8.61/8.79 (* end of lemma zenon_L542_ *)
% 8.61/8.79 assert (zenon_L543_ : ((op (e1) (e0)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H73 zenon_H66 zenon_H34d.
% 8.61/8.79 elim (classic ((op (e1) (e0)) = (op (e1) (e0)))); [ zenon_intro zenon_H34e | zenon_intro zenon_Haf ].
% 8.61/8.79 cut (((op (e1) (e0)) = (op (e1) (e0))) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H34d.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H34e.
% 8.61/8.79 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 8.61/8.79 cut (((op (e1) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H34f].
% 8.61/8.79 congruence.
% 8.61/8.79 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e0) (e0)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H34f.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H73.
% 8.61/8.79 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 8.61/8.79 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_Haf. apply refl_equal.
% 8.61/8.79 apply zenon_H72. apply sym_equal. exact zenon_H66.
% 8.61/8.79 apply zenon_Haf. apply refl_equal.
% 8.61/8.79 apply zenon_Haf. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L543_ *)
% 8.61/8.79 assert (zenon_L544_ : (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e3)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2c3 zenon_Hb3.
% 8.61/8.79 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (op (e1) (e3))) = (e3))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H2c3.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_Hb3.
% 8.61/8.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.79 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H350].
% 8.61/8.79 congruence.
% 8.61/8.79 elim (classic ((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3))))); [ zenon_intro zenon_H351 | zenon_intro zenon_H352 ].
% 8.61/8.79 cut (((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e3))))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H350.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H351.
% 8.61/8.79 cut (((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H352].
% 8.61/8.79 cut (((op (e1) (op (e1) (e3))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 8.61/8.79 congruence.
% 8.61/8.79 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 8.61/8.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H40. apply refl_equal.
% 8.61/8.79 exact (zenon_H190 zenon_Hb3).
% 8.61/8.79 apply zenon_H352. apply refl_equal.
% 8.61/8.79 apply zenon_H352. apply refl_equal.
% 8.61/8.79 apply zenon_H58. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L544_ *)
% 8.61/8.79 assert (zenon_L545_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H331 zenon_Hd6 zenon_Ha3 zenon_H2c3 zenon_Ha8 zenon_H3c zenon_H2fc zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.61/8.79 apply (zenon_L288_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.61/8.79 apply (zenon_L544_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.61/8.79 apply (zenon_L368_); trivial.
% 8.61/8.79 apply (zenon_L384_); trivial.
% 8.61/8.79 (* end of lemma zenon_L545_ *)
% 8.61/8.79 assert (zenon_L546_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1ae zenon_H2c3.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.61/8.79 apply (zenon_L544_); trivial.
% 8.61/8.79 (* end of lemma zenon_L546_ *)
% 8.61/8.79 assert (zenon_L547_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1f2 zenon_H154.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.61/8.79 apply (zenon_L97_); trivial.
% 8.61/8.79 (* end of lemma zenon_L547_ *)
% 8.61/8.79 assert (zenon_L548_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H207 zenon_H2c3.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H3c. zenon_intro zenon_H208.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Hbd. zenon_intro zenon_H1b0.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.61/8.79 apply (zenon_L544_); trivial.
% 8.61/8.79 (* end of lemma zenon_L548_ *)
% 8.61/8.79 assert (zenon_L549_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H215 zenon_H2c3.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_Hb3. zenon_intro zenon_H183.
% 8.61/8.79 apply (zenon_L544_); trivial.
% 8.61/8.79 (* end of lemma zenon_L549_ *)
% 8.61/8.79 assert (zenon_L550_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H127 zenon_H6b zenon_Hd6.
% 8.61/8.79 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H127.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H6b.
% 8.61/8.79 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 8.61/8.79 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H21. apply refl_equal.
% 8.61/8.79 apply zenon_H279. apply sym_equal. exact zenon_Hd6.
% 8.61/8.79 (* end of lemma zenon_L550_ *)
% 8.61/8.79 assert (zenon_L551_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H105 zenon_Hd1 zenon_H6b zenon_H127 zenon_Hff zenon_H3c zenon_Hd0 zenon_Hb3.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.61/8.79 apply (zenon_L47_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.61/8.79 apply (zenon_L550_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.61/8.79 apply (zenon_L59_); trivial.
% 8.61/8.79 apply (zenon_L60_); trivial.
% 8.61/8.79 (* end of lemma zenon_L551_ *)
% 8.61/8.79 assert (zenon_L552_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H11f zenon_H24 zenon_H153 zenon_H78 zenon_H105 zenon_He4 zenon_H6b zenon_H127 zenon_Hff zenon_H3c zenon_Hd0 zenon_Hb3.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.79 apply (zenon_L303_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.79 apply (zenon_L551_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.79 apply (zenon_L65_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.61/8.79 apply (zenon_L66_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.61/8.79 apply (zenon_L550_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.61/8.79 apply (zenon_L59_); trivial.
% 8.61/8.79 apply (zenon_L60_); trivial.
% 8.61/8.79 (* end of lemma zenon_L552_ *)
% 8.61/8.79 assert (zenon_L553_ : (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_Ha3 zenon_H1b1 zenon_Hf4.
% 8.61/8.79 cut (((op (e3) (e1)) = (e3)) = ((e1) = (e3))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_Ha3.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H1b1.
% 8.61/8.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.79 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29e].
% 8.61/8.79 congruence.
% 8.61/8.79 exact (zenon_H29e zenon_Hf4).
% 8.61/8.79 apply zenon_H58. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L553_ *)
% 8.61/8.79 assert (zenon_L554_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H336 zenon_Hb3 zenon_Hd0 zenon_H3c zenon_Hff zenon_H127 zenon_He4 zenon_H105 zenon_H78 zenon_H153 zenon_H24 zenon_H11f zenon_H74 zenon_H73 zenon_H56 zenon_Ha3 zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.79 apply (zenon_L552_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.79 apply (zenon_L20_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.79 apply (zenon_L99_); trivial.
% 8.61/8.79 apply (zenon_L553_); trivial.
% 8.61/8.79 (* end of lemma zenon_L554_ *)
% 8.61/8.79 assert (zenon_L555_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2e8 zenon_Hc2 zenon_H24 zenon_Ha8 zenon_H93 zenon_H3c zenon_H4c zenon_H1d9 zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.61/8.79 apply (zenon_L341_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.61/8.79 apply (zenon_L32_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.61/8.79 apply (zenon_L342_); trivial.
% 8.61/8.79 apply (zenon_L375_); trivial.
% 8.61/8.79 (* end of lemma zenon_L555_ *)
% 8.61/8.79 assert (zenon_L556_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2a2 zenon_H25 zenon_H24 zenon_H73 zenon_H67 zenon_H169 zenon_H1b1 zenon_H197 zenon_H3c zenon_H6b zenon_H164 zenon_H192 zenon_H19a zenon_H62.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.79 apply (zenon_L2_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.79 apply (zenon_L499_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.79 apply (zenon_L535_); trivial.
% 8.61/8.79 apply (zenon_L416_); trivial.
% 8.61/8.79 (* end of lemma zenon_L556_ *)
% 8.61/8.79 assert (zenon_L557_ : ((op (e3) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1b1 zenon_H274 zenon_H1dd.
% 8.61/8.79 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ].
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H1dd.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H2cb.
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 8.61/8.79 congruence.
% 8.61/8.79 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e0) (e1)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H2cd.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H1b1.
% 8.61/8.79 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2d1].
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H2cc. apply refl_equal.
% 8.61/8.79 apply zenon_H2d1. apply sym_equal. exact zenon_H274.
% 8.61/8.79 apply zenon_H2cc. apply refl_equal.
% 8.61/8.79 apply zenon_H2cc. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L557_ *)
% 8.61/8.79 assert (zenon_L558_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H73 zenon_H87 zenon_Ha3.
% 8.61/8.79 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.61/8.79 cut (((e3) = (e3)) = ((e1) = (e3))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_Ha3.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_Ha4.
% 8.61/8.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.79 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 8.61/8.79 congruence.
% 8.61/8.79 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_Ha5.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H73.
% 8.61/8.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.79 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H30e].
% 8.61/8.79 congruence.
% 8.61/8.79 exact (zenon_H30e zenon_H87).
% 8.61/8.79 apply zenon_H40. apply refl_equal.
% 8.61/8.79 apply zenon_H58. apply refl_equal.
% 8.61/8.79 apply zenon_H58. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L558_ *)
% 8.61/8.79 assert (zenon_L559_ : ((op (e3) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1b1 zenon_Ha2 zenon_Hf3.
% 8.61/8.79 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ].
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_Hf3.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H2cb.
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H354].
% 8.61/8.79 congruence.
% 8.61/8.79 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e1) (e1)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H354.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H1b1.
% 8.61/8.79 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H355].
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H2cc. apply refl_equal.
% 8.61/8.79 apply zenon_H355. apply sym_equal. exact zenon_Ha2.
% 8.61/8.79 apply zenon_H2cc. apply refl_equal.
% 8.61/8.79 apply zenon_H2cc. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L559_ *)
% 8.61/8.79 assert (zenon_L560_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H134 zenon_H276 zenon_Ha7.
% 8.61/8.79 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H134.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H276.
% 8.61/8.79 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 8.61/8.79 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H27. apply refl_equal.
% 8.61/8.79 apply zenon_H2f7. apply sym_equal. exact zenon_Ha7.
% 8.61/8.79 (* end of lemma zenon_L560_ *)
% 8.61/8.79 assert (zenon_L561_ : (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e1)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H7d zenon_H3c zenon_H16b.
% 8.61/8.79 cut (((op (e2) (e3)) = (e2)) = ((e1) = (e2))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H7d.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H3c.
% 8.61/8.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.61/8.79 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H356].
% 8.61/8.79 congruence.
% 8.61/8.79 exact (zenon_H356 zenon_H16b).
% 8.61/8.79 apply zenon_H4b. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L561_ *)
% 8.61/8.79 assert (zenon_L562_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H19a zenon_H143 zenon_H192 zenon_Hb3 zenon_H109 zenon_He7 zenon_He8 zenon_H197 zenon_Hff zenon_H30 zenon_H2d8 zenon_H3b zenon_H1f6 zenon_H1b1 zenon_H169.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H165 | zenon_intro zenon_H19b ].
% 8.61/8.79 apply (zenon_L249_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H15a | zenon_intro zenon_H19c ].
% 8.61/8.79 apply (zenon_L474_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H196 ].
% 8.61/8.79 apply (zenon_L198_); trivial.
% 8.61/8.79 apply (zenon_L432_); trivial.
% 8.61/8.79 (* end of lemma zenon_L562_ *)
% 8.61/8.79 assert (zenon_L563_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H329 zenon_H78 zenon_Ha8 zenon_H16b zenon_H7d zenon_H19a zenon_H143 zenon_H192 zenon_Hb3 zenon_H109 zenon_He7 zenon_H197 zenon_Hff zenon_H30 zenon_H2d8 zenon_H3b zenon_H1f6 zenon_H1b1 zenon_H169.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.79 apply (zenon_L394_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.79 apply (zenon_L471_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.79 apply (zenon_L561_); trivial.
% 8.61/8.79 apply (zenon_L562_); trivial.
% 8.61/8.79 (* end of lemma zenon_L563_ *)
% 8.61/8.79 assert (zenon_L564_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2d4 zenon_H14e zenon_H170 zenon_H71 zenon_H29f zenon_H3b zenon_H9a zenon_Ha7 zenon_H2d2.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.61/8.79 apply (zenon_L111_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.61/8.79 apply (zenon_L266_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.61/8.79 apply (zenon_L513_); trivial.
% 8.61/8.79 apply (zenon_L358_); trivial.
% 8.61/8.79 (* end of lemma zenon_L564_ *)
% 8.61/8.79 assert (zenon_L565_ : ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H3b zenon_H7e zenon_H90.
% 8.61/8.79 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H3e ].
% 8.61/8.79 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H90.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H95.
% 8.61/8.79 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 8.61/8.79 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H357].
% 8.61/8.79 congruence.
% 8.61/8.79 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e0) (e2)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H357.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H3b.
% 8.61/8.79 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2fe].
% 8.61/8.79 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H3e. apply refl_equal.
% 8.61/8.79 apply zenon_H2fe. apply sym_equal. exact zenon_H7e.
% 8.61/8.79 apply zenon_H3e. apply refl_equal.
% 8.61/8.79 apply zenon_H3e. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L565_ *)
% 8.61/8.79 assert (zenon_L566_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2df zenon_H2d2 zenon_H9a zenon_H170 zenon_H14e zenon_H2d4 zenon_Hab zenon_H73 zenon_H7d zenon_H300 zenon_H30 zenon_H153 zenon_H29f zenon_H90 zenon_H3b zenon_H134 zenon_Ha7.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.79 apply (zenon_L564_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.79 apply (zenon_L93_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.79 apply (zenon_L396_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H24 | zenon_intro zenon_H301 ].
% 8.61/8.79 apply (zenon_L303_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H71 | zenon_intro zenon_H302 ].
% 8.61/8.79 apply (zenon_L266_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7e | zenon_intro zenon_H276 ].
% 8.61/8.79 apply (zenon_L565_); trivial.
% 8.61/8.79 apply (zenon_L560_); trivial.
% 8.61/8.79 (* end of lemma zenon_L566_ *)
% 8.61/8.79 assert (zenon_L567_ : (((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)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_Hba zenon_Ha3 zenon_H73 zenon_Hf3 zenon_H1b1 zenon_H276 zenon_H134 zenon_H108 zenon_Ha8.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.61/8.79 apply (zenon_L558_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.61/8.79 apply (zenon_L559_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.61/8.79 apply (zenon_L560_); trivial.
% 8.61/8.79 apply (zenon_L471_); trivial.
% 8.61/8.79 (* end of lemma zenon_L567_ *)
% 8.61/8.79 assert (zenon_L568_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H300 zenon_Had zenon_Hf6 zenon_H29f zenon_H90 zenon_H3b zenon_Hba zenon_Ha3 zenon_H73 zenon_Hf3 zenon_H1b1 zenon_H134 zenon_H108 zenon_Ha8.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H24 | zenon_intro zenon_H301 ].
% 8.61/8.79 apply (zenon_L397_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H71 | zenon_intro zenon_H302 ].
% 8.61/8.79 apply (zenon_L266_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7e | zenon_intro zenon_H276 ].
% 8.61/8.79 apply (zenon_L565_); trivial.
% 8.61/8.79 apply (zenon_L567_); trivial.
% 8.61/8.79 (* end of lemma zenon_L568_ *)
% 8.61/8.79 assert (zenon_L569_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2df zenon_H25 zenon_H66 zenon_H67 zenon_H7d zenon_H329 zenon_H78 zenon_Ha8 zenon_H134 zenon_H1b1 zenon_Hf3 zenon_H73 zenon_Ha3 zenon_Hba zenon_H90 zenon_H29f zenon_Had zenon_H300 zenon_H3b zenon_H3a zenon_H2d8 zenon_H30 zenon_Hff zenon_H15a zenon_H197 zenon_He7 zenon_H109 zenon_Hb3.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.79 apply (zenon_L19_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.79 apply (zenon_L110_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.79 apply (zenon_L396_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.79 apply (zenon_L394_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.79 apply (zenon_L568_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.79 apply (zenon_L6_); trivial.
% 8.61/8.79 apply (zenon_L474_); trivial.
% 8.61/8.79 (* end of lemma zenon_L569_ *)
% 8.61/8.79 assert (zenon_L570_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2d4 zenon_H14e zenon_H170 zenon_Hf4 zenon_H3b zenon_H9a zenon_H1d9 zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.61/8.79 apply (zenon_L111_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.61/8.79 apply (zenon_L319_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.61/8.79 apply (zenon_L513_); trivial.
% 8.61/8.79 apply (zenon_L375_); trivial.
% 8.61/8.79 (* end of lemma zenon_L570_ *)
% 8.61/8.79 assert (zenon_L571_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2e8 zenon_Ha3 zenon_H2d2 zenon_H9a zenon_H29f zenon_H71 zenon_H170 zenon_H14e zenon_H2d4 zenon_Ha8 zenon_H3b zenon_H1d9 zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.61/8.79 apply (zenon_L245_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.61/8.79 apply (zenon_L564_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.61/8.79 apply (zenon_L346_); trivial.
% 8.61/8.79 apply (zenon_L375_); trivial.
% 8.61/8.79 (* end of lemma zenon_L571_ *)
% 8.61/8.79 assert (zenon_L572_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H41 zenon_H73 zenon_H358.
% 8.61/8.79 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H41.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H73.
% 8.61/8.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.79 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H359].
% 8.61/8.79 congruence.
% 8.61/8.79 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 8.61/8.79 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H359.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H43.
% 8.61/8.79 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 8.61/8.79 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 8.61/8.79 congruence.
% 8.61/8.79 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 8.61/8.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H40. apply refl_equal.
% 8.61/8.79 exact (zenon_H35b zenon_H358).
% 8.61/8.79 apply zenon_H44. apply refl_equal.
% 8.61/8.79 apply zenon_H44. apply refl_equal.
% 8.61/8.79 apply zenon_H40. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L572_ *)
% 8.61/8.79 assert (zenon_L573_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1d9 zenon_H1df zenon_Hc3.
% 8.61/8.79 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H1d9.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H1df.
% 8.61/8.79 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 8.61/8.79 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 8.61/8.79 congruence.
% 8.61/8.79 apply zenon_H2cc. apply refl_equal.
% 8.61/8.79 apply zenon_H171. apply sym_equal. exact zenon_Hc3.
% 8.61/8.79 (* end of lemma zenon_L573_ *)
% 8.61/8.79 assert (zenon_L574_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2d4 zenon_H1df zenon_Ha8 zenon_H108 zenon_H134 zenon_Hf3 zenon_H73 zenon_Ha3 zenon_Hba zenon_H90 zenon_H29f zenon_Had zenon_H300 zenon_H3b zenon_H9a zenon_H1d9 zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.61/8.79 apply (zenon_L573_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.61/8.79 apply (zenon_L568_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.61/8.79 apply (zenon_L513_); trivial.
% 8.61/8.79 apply (zenon_L375_); trivial.
% 8.61/8.79 (* end of lemma zenon_L574_ *)
% 8.61/8.79 assert (zenon_L575_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (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)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2b5 zenon_Hd0 zenon_Hb4 zenon_H1d9 zenon_H9a zenon_H300 zenon_Had zenon_H29f zenon_H90 zenon_Hba zenon_Ha3 zenon_H73 zenon_Hf3 zenon_H134 zenon_Ha8 zenon_H1df zenon_H2d4 zenon_H19a zenon_H143 zenon_H192 zenon_H109 zenon_He7 zenon_He8 zenon_H197 zenon_Hff zenon_H30 zenon_H2d8 zenon_H3b zenon_H1f6 zenon_H1b1 zenon_H169.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.61/8.79 apply (zenon_L47_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.61/8.79 apply (zenon_L119_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.61/8.79 apply (zenon_L574_); trivial.
% 8.61/8.79 apply (zenon_L562_); trivial.
% 8.61/8.79 (* end of lemma zenon_L575_ *)
% 8.61/8.79 assert (zenon_L576_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (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) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (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)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H329 zenon_H78 zenon_H3a zenon_H2b5 zenon_Hd0 zenon_Hb4 zenon_H1d9 zenon_H9a zenon_H300 zenon_Had zenon_H29f zenon_H90 zenon_Hba zenon_Ha3 zenon_H73 zenon_Hf3 zenon_H134 zenon_Ha8 zenon_H1df zenon_H2d4 zenon_H19a zenon_H143 zenon_H192 zenon_H109 zenon_He7 zenon_H197 zenon_Hff zenon_H30 zenon_H2d8 zenon_H3b zenon_H1f6 zenon_H1b1 zenon_H169.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.79 apply (zenon_L394_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.79 apply (zenon_L574_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.79 apply (zenon_L6_); trivial.
% 8.61/8.79 apply (zenon_L575_); trivial.
% 8.61/8.79 (* end of lemma zenon_L576_ *)
% 8.61/8.79 assert (zenon_L577_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1a0 zenon_H1f6 zenon_H3b.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.61/8.79 apply (zenon_L198_); trivial.
% 8.61/8.79 (* end of lemma zenon_L577_ *)
% 8.61/8.79 assert (zenon_L578_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1a3 zenon_H153 zenon_H30.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H24. zenon_intro zenon_H1a4.
% 8.61/8.79 apply (zenon_L303_); trivial.
% 8.61/8.79 (* end of lemma zenon_L578_ *)
% 8.61/8.79 assert (zenon_L579_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1b7 zenon_H30 zenon_H31.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H73. zenon_intro zenon_H1b8.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H6b. zenon_intro zenon_H177.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1e. zenon_intro zenon_H1e.
% 8.61/8.79 apply (zenon_L4_); trivial.
% 8.61/8.79 (* end of lemma zenon_L579_ *)
% 8.61/8.79 assert (zenon_L580_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1bb zenon_H153 zenon_H30.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H73. zenon_intro zenon_H1bc.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H6b. zenon_intro zenon_H17d.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H143. zenon_intro zenon_H24.
% 8.61/8.79 apply (zenon_L303_); trivial.
% 8.61/8.79 (* end of lemma zenon_L580_ *)
% 8.61/8.79 assert (zenon_L581_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1c8 zenon_H22d zenon_H1d9 zenon_H1d7 zenon_Ha8 zenon_H173 zenon_H192 zenon_Ha3 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H7d zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H1b1.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H29. zenon_intro zenon_H1c9.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H15a. zenon_intro zenon_H19f.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.61/8.79 apply (zenon_L483_); trivial.
% 8.61/8.79 (* end of lemma zenon_L581_ *)
% 8.61/8.79 assert (zenon_L582_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2b8 zenon_H67 zenon_H30 zenon_Hb4 zenon_H73 zenon_H15a zenon_H197 zenon_H59 zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.61/8.79 apply (zenon_L343_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.61/8.79 apply (zenon_L119_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.61/8.79 apply (zenon_L472_); trivial.
% 8.61/8.79 apply (zenon_L479_); trivial.
% 8.61/8.79 (* end of lemma zenon_L582_ *)
% 8.61/8.79 assert (zenon_L583_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H1f2 zenon_H1f6 zenon_H3b.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.61/8.79 apply (zenon_L198_); trivial.
% 8.61/8.79 (* end of lemma zenon_L583_ *)
% 8.61/8.79 assert (zenon_L584_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H35 zenon_H108 zenon_H7d.
% 8.61/8.79 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.61/8.79 cut (((e2) = (e2)) = ((e1) = (e2))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_H7d.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H79.
% 8.61/8.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.61/8.79 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 8.61/8.79 congruence.
% 8.61/8.79 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))).
% 8.61/8.79 intro zenon_D_pnotp.
% 8.61/8.79 apply zenon_Hce.
% 8.61/8.79 rewrite <- zenon_D_pnotp.
% 8.61/8.79 exact zenon_H35.
% 8.61/8.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.79 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 8.61/8.79 congruence.
% 8.61/8.79 exact (zenon_H35c zenon_H108).
% 8.61/8.79 apply zenon_H40. apply refl_equal.
% 8.61/8.79 apply zenon_H4b. apply refl_equal.
% 8.61/8.79 apply zenon_H4b. apply refl_equal.
% 8.61/8.79 (* end of lemma zenon_L584_ *)
% 8.61/8.79 assert (zenon_L585_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2b8 zenon_H67 zenon_H30 zenon_H7d zenon_H108 zenon_H15a zenon_H197 zenon_H59 zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.61/8.79 apply (zenon_L343_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.61/8.79 apply (zenon_L584_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.61/8.79 apply (zenon_L472_); trivial.
% 8.61/8.79 apply (zenon_L479_); trivial.
% 8.61/8.79 (* end of lemma zenon_L585_ *)
% 8.61/8.79 assert (zenon_L586_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H19a zenon_H143 zenon_H192 zenon_H1b1 zenon_H59 zenon_H108 zenon_H7d zenon_H30 zenon_H67 zenon_H2b8 zenon_H1f6 zenon_H201 zenon_H195 zenon_H197.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H165 | zenon_intro zenon_H19b ].
% 8.61/8.79 apply (zenon_L249_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H15a | zenon_intro zenon_H19c ].
% 8.61/8.79 apply (zenon_L585_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H196 ].
% 8.61/8.79 apply (zenon_L217_); trivial.
% 8.61/8.79 apply (zenon_L126_); trivial.
% 8.61/8.79 (* end of lemma zenon_L586_ *)
% 8.61/8.79 assert (zenon_L587_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H331 zenon_Hc2 zenon_H169 zenon_H3b zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H16b zenon_Ha8 zenon_H78 zenon_H329 zenon_H197 zenon_H201 zenon_H1f6 zenon_H2b8 zenon_H67 zenon_H30 zenon_H7d zenon_H108 zenon_H1b1 zenon_H192 zenon_H143 zenon_H19a zenon_H59.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.61/8.79 apply (zenon_L201_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.61/8.79 apply (zenon_L563_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.61/8.79 apply (zenon_L586_); trivial.
% 8.61/8.79 apply (zenon_L15_); trivial.
% 8.61/8.79 (* end of lemma zenon_L587_ *)
% 8.61/8.79 assert (zenon_L588_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H303 zenon_H331 zenon_Hc2 zenon_H169 zenon_H3b zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_Ha8 zenon_H78 zenon_H329 zenon_H197 zenon_H201 zenon_H1f6 zenon_H2b8 zenon_H67 zenon_H30 zenon_H7d zenon_H108 zenon_H1b1 zenon_H192 zenon_H143 zenon_H19a zenon_H59.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.79 apply (zenon_L261_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.79 apply (zenon_L585_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.79 apply (zenon_L396_); trivial.
% 8.61/8.79 apply (zenon_L587_); trivial.
% 8.61/8.79 (* end of lemma zenon_L588_ *)
% 8.61/8.79 assert (zenon_L589_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2b5 zenon_Hd0 zenon_H16b zenon_H195 zenon_H201 zenon_H2b8 zenon_H67 zenon_H7d zenon_H59 zenon_H19a zenon_H143 zenon_H192 zenon_H109 zenon_He7 zenon_He8 zenon_H197 zenon_Hff zenon_H30 zenon_H2d8 zenon_H3b zenon_H1f6 zenon_H1b1 zenon_H169.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.61/8.79 apply (zenon_L47_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.61/8.79 apply (zenon_L106_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.61/8.79 apply (zenon_L586_); trivial.
% 8.61/8.79 apply (zenon_L562_); trivial.
% 8.61/8.79 (* end of lemma zenon_L589_ *)
% 8.61/8.79 assert (zenon_L590_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H329 zenon_H78 zenon_H303 zenon_H3a zenon_H331 zenon_Hc2 zenon_H169 zenon_H1b1 zenon_H1f6 zenon_H3b zenon_H2d8 zenon_H30 zenon_Hff zenon_H197 zenon_He7 zenon_H109 zenon_H192 zenon_H143 zenon_H19a zenon_H59 zenon_H7d zenon_H67 zenon_H2b8 zenon_H201 zenon_H16b zenon_Hd0 zenon_H2b5 zenon_Ha8.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.79 apply (zenon_L394_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.79 apply (zenon_L588_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.79 apply (zenon_L6_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.61/8.79 apply (zenon_L201_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.61/8.79 apply (zenon_L562_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.61/8.79 apply (zenon_L589_); trivial.
% 8.61/8.79 apply (zenon_L439_); trivial.
% 8.61/8.79 (* end of lemma zenon_L590_ *)
% 8.61/8.79 assert (zenon_L591_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (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))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2a2 zenon_H31 zenon_H73 zenon_H169 zenon_H1b1 zenon_H1f6 zenon_H3b zenon_H2d8 zenon_H30 zenon_Hff zenon_H197 zenon_He7 zenon_H109 zenon_Hb3 zenon_H192 zenon_H19a zenon_H7d zenon_Ha8 zenon_H78 zenon_H329 zenon_H2b8 zenon_H67 zenon_Ha3 zenon_H59 zenon_H303 zenon_H62.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.79 apply (zenon_L4_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.79 apply (zenon_L499_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.79 apply (zenon_L261_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.79 apply (zenon_L481_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.79 apply (zenon_L396_); trivial.
% 8.61/8.79 apply (zenon_L563_); trivial.
% 8.61/8.79 apply (zenon_L416_); trivial.
% 8.61/8.79 (* end of lemma zenon_L591_ *)
% 8.61/8.79 assert (zenon_L592_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H21f zenon_H1f6 zenon_H3b.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H98. zenon_intro zenon_H220.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H195. zenon_intro zenon_H1a2.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.61/8.79 apply (zenon_L198_); trivial.
% 8.61/8.79 (* end of lemma zenon_L592_ *)
% 8.61/8.79 assert (zenon_L593_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.61/8.79 do 0 intro. intros zenon_H2f8 zenon_H34d zenon_H105 zenon_He4 zenon_H2bf zenon_H2e2 zenon_Hf8 zenon_H2a3 zenon_H36 zenon_H124 zenon_H11f zenon_Hf9 zenon_H285 zenon_H27f zenon_H282 zenon_H150 zenon_Hb7 zenon_H2c9 zenon_H295 zenon_H1dc zenon_H2c0 zenon_H270 zenon_H1f zenon_H16d zenon_H2f3 zenon_H164 zenon_H2fc zenon_H3a zenon_H73 zenon_Hb4 zenon_H2e8 zenon_H2a4 zenon_H1dd zenon_H336 zenon_H2a1 zenon_H137 zenon_H2df zenon_H9a zenon_H300 zenon_H90 zenon_H134 zenon_Hf3 zenon_Hba zenon_H35d zenon_H35e zenon_H6c zenon_H12b zenon_H129 zenon_H2a5 zenon_H32e zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_Hab zenon_H2b zenon_H22d zenon_H127 zenon_H173 zenon_H331 zenon_Hd0 zenon_H2b5 zenon_H1d3 zenon_Hc2 zenon_H303 zenon_H329 zenon_H78 zenon_H7d zenon_H19a zenon_H192 zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H169 zenon_H31 zenon_H2a2 zenon_H74 zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H1f6 zenon_Ha8 zenon_H1d7 zenon_H1d9 zenon_H1b1.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.61/8.79 apply (zenon_L303_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.61/8.79 apply (zenon_L119_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.79 apply (zenon_L308_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.79 apply (zenon_L309_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.79 apply (zenon_L116_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.79 apply (zenon_L118_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.79 apply (zenon_L514_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.79 apply (zenon_L515_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.79 apply (zenon_L516_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.79 apply (zenon_L310_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.79 apply (zenon_L129_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.79 apply (zenon_L518_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.79 apply (zenon_L163_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H24. zenon_intro zenon_H1a7.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H143. zenon_intro zenon_H1a8.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.61/8.79 apply (zenon_L123_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.61/8.79 apply (zenon_L533_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.61/8.79 apply (zenon_L368_); trivial.
% 8.61/8.79 apply (zenon_L384_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.79 apply (zenon_L135_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.61/8.79 apply (zenon_L303_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.79 apply (zenon_L443_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.79 apply (zenon_L444_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.79 apply (zenon_L311_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.79 apply (zenon_L520_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.79 apply (zenon_L536_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.79 apply (zenon_L445_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.79 apply (zenon_L522_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.79 apply (zenon_L523_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.79 apply (zenon_L146_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.79 apply (zenon_L524_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.79 apply (zenon_L148_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.79 apply (zenon_L151_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.79 apply (zenon_L179_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.79 apply (zenon_L525_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.79 apply (zenon_L355_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.79 apply (zenon_L356_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.79 apply (zenon_L446_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.79 apply (zenon_L447_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.79 apply (zenon_L448_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.79 apply (zenon_L449_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.79 apply (zenon_L188_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.79 apply (zenon_L361_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.79 apply (zenon_L528_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.79 apply (zenon_L529_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.79 apply (zenon_L364_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.79 apply (zenon_L530_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.79 apply (zenon_L241_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.79 apply (zenon_L242_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.79 apply (zenon_L531_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.79 apply (zenon_L272_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.79 apply (zenon_L273_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H3c. zenon_intro zenon_H208.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Hbd. zenon_intro zenon_H1b0.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.61/8.79 apply (zenon_L533_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.79 apply (zenon_L451_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.79 apply (zenon_L452_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.79 apply (zenon_L322_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.79 apply (zenon_L275_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.79 apply (zenon_L537_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.79 apply (zenon_L373_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.79 apply (zenon_L538_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.79 apply (zenon_L539_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.79 apply (zenon_L540_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.79 apply (zenon_L378_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.79 apply (zenon_L379_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.79 apply (zenon_L541_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.79 apply (zenon_L542_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.79 apply (zenon_L382_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.79 apply (zenon_L383_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.79 apply (zenon_L385_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.79 apply (zenon_L454_); trivial.
% 8.61/8.79 apply (zenon_L455_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.79 apply (zenon_L308_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.79 apply (zenon_L309_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.79 apply (zenon_L115_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.79 apply (zenon_L442_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.79 apply (zenon_L514_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.79 apply (zenon_L515_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.79 apply (zenon_L277_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.79 apply (zenon_L389_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.79 apply (zenon_L160_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.79 apply (zenon_L278_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.79 apply (zenon_L163_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H24. zenon_intro zenon_H1a7.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H143. zenon_intro zenon_H1a8.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.79 apply (zenon_L543_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.79 apply (zenon_L535_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.79 apply (zenon_L22_); trivial.
% 8.61/8.79 apply (zenon_L545_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.79 apply (zenon_L135_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.79 apply (zenon_L546_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.79 apply (zenon_L443_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.79 apply (zenon_L444_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.79 apply (zenon_L311_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.79 apply (zenon_L312_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.79 apply (zenon_L536_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.79 apply (zenon_L445_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.79 apply (zenon_L522_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.79 apply (zenon_L523_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.79 apply (zenon_L146_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.79 apply (zenon_L524_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.79 apply (zenon_L178_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.79 apply (zenon_L151_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.79 apply (zenon_L179_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.79 apply (zenon_L525_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.79 apply (zenon_L355_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.79 apply (zenon_L356_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.79 apply (zenon_L446_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.79 apply (zenon_L447_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.79 apply (zenon_L448_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.79 apply (zenon_L187_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.79 apply (zenon_L188_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.79 apply (zenon_L450_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.79 apply (zenon_L547_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.79 apply (zenon_L192_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.79 apply (zenon_L364_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.79 apply (zenon_L279_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.79 apply (zenon_L241_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.79 apply (zenon_L242_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.79 apply (zenon_L531_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.79 apply (zenon_L272_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.79 apply (zenon_L407_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.79 apply (zenon_L548_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.79 apply (zenon_L369_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.79 apply (zenon_L452_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.79 apply (zenon_L322_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.79 apply (zenon_L281_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.79 apply (zenon_L537_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.79 apply (zenon_L373_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.79 apply (zenon_L549_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.79 apply (zenon_L539_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.79 apply (zenon_L540_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.79 apply (zenon_L378_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.79 apply (zenon_L453_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.79 apply (zenon_L541_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.79 apply (zenon_L542_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.79 apply (zenon_L382_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.79 apply (zenon_L383_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.79 apply (zenon_L386_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.79 apply (zenon_L454_); trivial.
% 8.61/8.79 apply (zenon_L455_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.79 apply (zenon_L308_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.79 apply (zenon_L309_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.79 apply (zenon_L282_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.79 apply (zenon_L118_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.79 apply (zenon_L514_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.79 apply (zenon_L515_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.79 apply (zenon_L283_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.79 apply (zenon_L310_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.79 apply (zenon_L129_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.79 apply (zenon_L284_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.79 apply (zenon_L163_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.79 apply (zenon_L285_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.79 apply (zenon_L135_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H30. zenon_intro zenon_H1af.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H14e. zenon_intro zenon_H1b0.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.61/8.79 apply (zenon_L554_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.79 apply (zenon_L410_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.79 apply (zenon_L444_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.79 apply (zenon_L311_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.79 apply (zenon_L520_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.79 apply (zenon_L286_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.79 apply (zenon_L445_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.79 apply (zenon_L522_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.79 apply (zenon_L523_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.79 apply (zenon_L146_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.79 apply (zenon_L524_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.79 apply (zenon_L411_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.79 apply (zenon_L151_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.79 apply (zenon_L179_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.79 apply (zenon_L287_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.79 apply (zenon_L355_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.79 apply (zenon_L356_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.79 apply (zenon_L412_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.79 apply (zenon_L447_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.79 apply (zenon_L448_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.79 apply (zenon_L449_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.79 apply (zenon_L188_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.79 apply (zenon_L450_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.61/8.79 apply (zenon_L555_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.79 apply (zenon_L529_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.79 apply (zenon_L364_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.79 apply (zenon_L458_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.79 apply (zenon_L241_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.79 apply (zenon_L242_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.79 apply (zenon_L531_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.79 apply (zenon_L272_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.79 apply (zenon_L457_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H3c. zenon_intro zenon_H208.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Hbd. zenon_intro zenon_H1b0.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.61/8.79 apply (zenon_L554_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.79 apply (zenon_L451_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.79 apply (zenon_L452_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.79 apply (zenon_L322_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.79 apply (zenon_L323_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.79 apply (zenon_L293_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.79 apply (zenon_L373_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_Hb3. zenon_intro zenon_H183.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.61/8.79 apply (zenon_L552_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.79 apply (zenon_L539_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.79 apply (zenon_L414_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.79 apply (zenon_L378_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.79 apply (zenon_L415_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.79 apply (zenon_L541_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.79 apply (zenon_L542_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.79 apply (zenon_L382_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.79 apply (zenon_L383_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.79 apply (zenon_L385_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.79 apply (zenon_L454_); trivial.
% 8.61/8.79 apply (zenon_L455_); trivial.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.79 apply (zenon_L308_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.79 apply (zenon_L309_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.79 apply (zenon_L115_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.79 apply (zenon_L417_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.79 apply (zenon_L514_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.79 apply (zenon_L515_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.79 apply (zenon_L516_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.79 apply (zenon_L310_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.79 apply (zenon_L160_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.79 apply (zenon_L518_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.79 apply (zenon_L163_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.79 apply (zenon_L296_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.79 apply (zenon_L135_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.79 apply (zenon_L459_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.79 apply (zenon_L418_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.79 apply (zenon_L444_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.79 apply (zenon_L311_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.79 apply (zenon_L312_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.79 apply (zenon_L536_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.79 apply (zenon_L445_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.79 apply (zenon_L522_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.79 apply (zenon_L523_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.79 apply (zenon_L146_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.79 apply (zenon_L334_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.79 apply (zenon_L178_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.79 apply (zenon_L151_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.79 apply (zenon_L179_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.79 apply (zenon_L297_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.79 apply (zenon_L355_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.79 apply (zenon_L356_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.79 apply (zenon_L421_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.79 apply (zenon_L447_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.79 apply (zenon_L448_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.79 apply (zenon_L187_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.79 apply (zenon_L188_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.79 apply (zenon_L450_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.61/8.79 apply (zenon_L556_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.79 apply (zenon_L192_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.79 apply (zenon_L364_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.79 apply (zenon_L335_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.79 apply (zenon_L241_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.79 apply (zenon_L242_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.79 apply (zenon_L531_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.79 apply (zenon_L299_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.79 apply (zenon_L300_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.79 apply (zenon_L423_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.79 apply (zenon_L369_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.79 apply (zenon_L452_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.79 apply (zenon_L322_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.79 apply (zenon_L323_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.79 apply (zenon_L537_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.79 apply (zenon_L373_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_Hb3. zenon_intro zenon_H183.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.61/8.79 apply (zenon_L556_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.79 apply (zenon_L539_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.79 apply (zenon_L540_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.79 apply (zenon_L378_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.79 apply (zenon_L453_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.79 apply (zenon_L541_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.79 apply (zenon_L542_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.79 apply (zenon_L382_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.79 apply (zenon_L383_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.79 apply (zenon_L386_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.79 apply (zenon_L454_); trivial.
% 8.61/8.79 apply (zenon_L455_); trivial.
% 8.61/8.79 apply (zenon_L384_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.61/8.79 apply (zenon_L93_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.61/8.79 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.79 apply (zenon_L4_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.79 apply (zenon_L499_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H26f | zenon_intro zenon_H2ad ].
% 8.61/8.79 apply (zenon_L461_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H274 | zenon_intro zenon_H2ae ].
% 8.61/8.79 apply (zenon_L557_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H276 | zenon_intro zenon_H103 ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.79 apply (zenon_L527_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.79 apply (zenon_L20_); trivial.
% 8.61/8.79 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.79 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.61/8.80 apply (zenon_L558_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.61/8.80 apply (zenon_L559_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.61/8.80 apply (zenon_L560_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.80 apply (zenon_L394_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.80 apply (zenon_L471_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.80 apply (zenon_L6_); trivial.
% 8.61/8.80 apply (zenon_L474_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.61/8.80 apply (zenon_L558_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.61/8.80 apply (zenon_L559_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.61/8.80 apply (zenon_L560_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.80 apply (zenon_L250_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.80 apply (zenon_L103_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.80 apply (zenon_L396_); trivial.
% 8.61/8.80 apply (zenon_L563_); trivial.
% 8.61/8.80 apply (zenon_L201_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.80 apply (zenon_L527_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H26f | zenon_intro zenon_H2ad ].
% 8.61/8.80 apply (zenon_L461_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H274 | zenon_intro zenon_H2ae ].
% 8.61/8.80 apply (zenon_L557_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H276 | zenon_intro zenon_H103 ].
% 8.61/8.80 apply (zenon_L245_); trivial.
% 8.61/8.80 apply (zenon_L201_); trivial.
% 8.61/8.80 apply (zenon_L343_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H26f | zenon_intro zenon_H2ad ].
% 8.61/8.80 apply (zenon_L461_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H274 | zenon_intro zenon_H2ae ].
% 8.61/8.80 apply (zenon_L557_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H276 | zenon_intro zenon_H103 ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.80 apply (zenon_L527_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.80 apply (zenon_L20_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.61/8.80 apply (zenon_L558_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.61/8.80 apply (zenon_L559_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.61/8.80 apply (zenon_L566_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.61/8.80 apply (zenon_L341_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.61/8.80 apply (zenon_L569_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.61/8.80 apply (zenon_L40_); trivial.
% 8.61/8.80 apply (zenon_L111_); trivial.
% 8.61/8.80 apply (zenon_L570_); trivial.
% 8.61/8.80 apply (zenon_L123_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.80 apply (zenon_L527_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.80 apply (zenon_L571_); trivial.
% 8.61/8.80 apply (zenon_L343_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.80 apply (zenon_L4_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.80 apply (zenon_L499_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.61/8.80 apply (zenon_L499_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.61/8.80 apply (zenon_L572_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.61/8.80 apply (zenon_L73_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.61/8.80 apply (zenon_L572_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.61/8.80 apply (zenon_L249_); trivial.
% 8.61/8.80 apply (zenon_L576_); trivial.
% 8.61/8.80 apply (zenon_L47_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.61/8.80 apply (zenon_L558_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.61/8.80 apply (zenon_L559_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.61/8.80 apply (zenon_L566_); trivial.
% 8.61/8.80 apply (zenon_L544_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.61/8.80 apply (zenon_L13_); trivial.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.80 apply (zenon_L193_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.80 apply (zenon_L194_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.80 apply (zenon_L116_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.80 apply (zenon_L417_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.80 apply (zenon_L514_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.80 apply (zenon_L515_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.80 apply (zenon_L460_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.80 apply (zenon_L333_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.80 apply (zenon_L129_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.80 apply (zenon_L577_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.80 apply (zenon_L578_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.80 apply (zenon_L296_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.80 apply (zenon_L202_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.80 apply (zenon_L459_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.80 apply (zenon_L443_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.80 apply (zenon_L444_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.80 apply (zenon_L579_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.80 apply (zenon_L520_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.80 apply (zenon_L580_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.80 apply (zenon_L419_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.80 apply (zenon_L522_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.80 apply (zenon_L523_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.80 apply (zenon_L146_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.80 apply (zenon_L334_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.80 apply (zenon_L581_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.80 apply (zenon_L151_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H29. zenon_intro zenon_H1cd.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H15a. zenon_intro zenon_H1a5.
% 8.61/8.80 apply (zenon_L582_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.80 apply (zenon_L297_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.80 apply (zenon_L298_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.80 apply (zenon_L356_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.80 apply (zenon_L446_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.80 apply (zenon_L447_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.80 apply (zenon_L464_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.80 apply (zenon_L465_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.80 apply (zenon_L188_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.80 apply (zenon_L422_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.80 apply (zenon_L583_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.80 apply (zenon_L529_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.80 apply (zenon_L364_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.80 apply (zenon_L335_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.80 apply (zenon_L241_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.80 apply (zenon_L242_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.80 apply (zenon_L4_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.80 apply (zenon_L499_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.80 apply (zenon_L261_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.80 apply (zenon_L582_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.80 apply (zenon_L396_); trivial.
% 8.61/8.80 apply (zenon_L590_); trivial.
% 8.61/8.80 apply (zenon_L416_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.80 apply (zenon_L299_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.80 apply (zenon_L457_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.80 apply (zenon_L423_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.80 apply (zenon_L451_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.80 apply (zenon_L452_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.80 apply (zenon_L223_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.80 apply (zenon_L224_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.80 apply (zenon_L225_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.80 apply (zenon_L372_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_Hb3. zenon_intro zenon_H183.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.61/8.80 apply (zenon_L591_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.80 apply (zenon_L539_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.80 apply (zenon_L482_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.80 apply (zenon_L378_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.80 apply (zenon_L453_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.80 apply (zenon_L592_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.80 apply (zenon_L542_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.80 apply (zenon_L382_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.80 apply (zenon_L383_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.80 apply (zenon_L385_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.80 apply (zenon_L454_); trivial.
% 8.61/8.80 apply (zenon_L455_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.61/8.80 apply (zenon_L119_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.61/8.80 apply (zenon_L6_); trivial.
% 8.61/8.80 apply (zenon_L384_); trivial.
% 8.61/8.80 apply (zenon_L375_); trivial.
% 8.61/8.80 (* end of lemma zenon_L593_ *)
% 8.61/8.80 assert (zenon_L594_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H207 zenon_H2f8 zenon_H34d zenon_H105 zenon_He4 zenon_H2bf zenon_H2e2 zenon_Hf8 zenon_H2a3 zenon_H36 zenon_H124 zenon_H11f zenon_Hf9 zenon_H285 zenon_H27f zenon_H282 zenon_H150 zenon_Hb7 zenon_H2c9 zenon_H295 zenon_H1dc zenon_H2c0 zenon_H270 zenon_H1f zenon_H16d zenon_H2f3 zenon_H164 zenon_H2fc zenon_H3a zenon_H73 zenon_Hb4 zenon_H2e8 zenon_H2a4 zenon_H1dd zenon_H336 zenon_H2a1 zenon_H137 zenon_H2df zenon_H9a zenon_H300 zenon_H90 zenon_H134 zenon_Hf3 zenon_Hba zenon_H35d zenon_H35e zenon_H6c zenon_H12b zenon_H129 zenon_H2a5 zenon_H32e zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_Hab zenon_H2b zenon_H22d zenon_H127 zenon_H173 zenon_H331 zenon_Hd0 zenon_H2b5 zenon_H1d3 zenon_Hc2 zenon_H303 zenon_H329 zenon_H78 zenon_H7d zenon_H19a zenon_H192 zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H169 zenon_H31 zenon_H2a2 zenon_H74 zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H1f6 zenon_Ha8 zenon_H1d7 zenon_H1d9.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H3c. zenon_intro zenon_H208.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Hbd. zenon_intro zenon_H1b0.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_Hb3. zenon_intro zenon_H1b1.
% 8.61/8.80 apply (zenon_L593_); trivial.
% 8.61/8.80 (* end of lemma zenon_L594_ *)
% 8.61/8.80 assert (zenon_L595_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H221 zenon_H3a zenon_H3c.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H98. zenon_intro zenon_H222.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H195. zenon_intro zenon_H1a5.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.61/8.80 apply (zenon_L6_); trivial.
% 8.61/8.80 (* end of lemma zenon_L595_ *)
% 8.61/8.80 assert (zenon_L596_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H21d zenon_H3c zenon_H12b.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H98. zenon_intro zenon_H21e.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H195. zenon_intro zenon_H19f.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.61/8.80 apply (zenon_L75_); trivial.
% 8.61/8.80 (* end of lemma zenon_L596_ *)
% 8.61/8.80 assert (zenon_L597_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H21f zenon_H154.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H98. zenon_intro zenon_H220.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H195. zenon_intro zenon_H1a2.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.61/8.80 apply (zenon_L97_); trivial.
% 8.61/8.80 (* end of lemma zenon_L597_ *)
% 8.61/8.80 assert (zenon_L598_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H1f0 zenon_H90 zenon_H300 zenon_H2f8 zenon_H134 zenon_H336 zenon_H94 zenon_Heb zenon_H11e zenon_H331 zenon_Hba zenon_H303 zenon_Hbf zenon_He4 zenon_H322 zenon_H105 zenon_H1d3 zenon_H2df zenon_H2f3 zenon_Hd0 zenon_H16d zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_Hb7 zenon_H6c zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H27f zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H2a3 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2bf zenon_H124 zenon_H11f zenon_H36 zenon_H2fc zenon_H12b zenon_H129 zenon_H2a5 zenon_H329 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H32e zenon_Hb4 zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_H2a2 zenon_H3a zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_H31 zenon_H127 zenon_H78 zenon_H7d zenon_H1f6 zenon_Hc2 zenon_Hab zenon_H2b zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H192 zenon_Ha8 zenon_H1d7 zenon_H22d zenon_H173 zenon_H1d9.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Hc8. zenon_intro zenon_H1f1.
% 8.61/8.80 apply (zenon_L495_); trivial.
% 8.61/8.80 (* end of lemma zenon_L598_ *)
% 8.61/8.80 assert (zenon_L599_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H1f2 zenon_H1d zenon_H67.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.61/8.80 apply (zenon_L77_); trivial.
% 8.61/8.80 (* end of lemma zenon_L599_ *)
% 8.61/8.80 assert (zenon_L600_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H215 zenon_H1d9 zenon_H98.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H1b1. zenon_intro zenon_H216.
% 8.61/8.80 apply (zenon_L375_); trivial.
% 8.61/8.80 (* end of lemma zenon_L600_ *)
% 8.61/8.80 assert (zenon_L601_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H21f zenon_H57.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H98. zenon_intro zenon_H220.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H195. zenon_intro zenon_H1a2.
% 8.61/8.80 apply (zenon_L409_); trivial.
% 8.61/8.80 (* end of lemma zenon_L601_ *)
% 8.61/8.80 assert (zenon_L602_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op 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-> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op 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(e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.80 do 0 intro. intros zenon_H2fc zenon_H1d7 zenon_Ha8 zenon_H3a zenon_H197 zenon_H12b zenon_Ha3 zenon_H73 zenon_Hab zenon_H1d9 zenon_Hc2 zenon_H1d zenon_H124 zenon_H2bf zenon_H1dc zenon_H1dd zenon_H169 zenon_H2c0 zenon_H2b8 zenon_H2b5 zenon_H109 zenon_H22e zenon_H31 zenon_H2b zenon_H7d zenon_H129 zenon_H1f6 zenon_H2a5 zenon_H2a4 zenon_H270 zenon_H1d3 zenon_Hb7 zenon_H78 zenon_H192 zenon_H145 zenon_H285 zenon_H295 zenon_H2a3 zenon_Hb4 zenon_H25 zenon_H150 zenon_H1f zenon_H2a2 zenon_H2a1 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H127 zenon_H11f zenon_H67 zenon_H16d zenon_H29f zenon_Hf9 zenon_Hd0 zenon_H22d zenon_H170 zenon_H74 zenon_H6c zenon_H322 zenon_Hbf zenon_H11e zenon_H94 zenon_H2d8 zenon_Hff zenon_He7 zenon_H19a zenon_H329 zenon_H303 zenon_H331 zenon_H153 zenon_Hc5 zenon_H2d2 zenon_H2d4 zenon_H10c zenon_H32e zenon_H35e zenon_H35d zenon_Hba zenon_Hf3 zenon_H134 zenon_H90 zenon_H300 zenon_H9a zenon_H2df zenon_H336 zenon_H2e8 zenon_H164 zenon_H2f3 zenon_H2c9 zenon_H36 zenon_Hf8 zenon_H2e2 zenon_He4 zenon_H105 zenon_H34d zenon_H2f8 zenon_Heb zenon_H98.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.61/8.80 apply (zenon_L73_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.61/8.80 apply (zenon_L119_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.80 apply (zenon_L113_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.80 apply (zenon_L114_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.80 apply (zenon_L116_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.80 apply (zenon_L118_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.80 apply (zenon_L514_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.80 apply (zenon_L515_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.80 apply (zenon_L516_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.80 apply (zenon_L517_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.80 apply (zenon_L129_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.80 apply (zenon_L518_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.80 apply (zenon_L163_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.80 apply (zenon_L164_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.80 apply (zenon_L135_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.80 apply (zenon_L519_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.80 apply (zenon_L137_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.80 apply (zenon_L138_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.80 apply (zenon_L139_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.80 apply (zenon_L520_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.80 apply (zenon_L521_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.80 apply (zenon_L142_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.80 apply (zenon_L522_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.80 apply (zenon_L523_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.80 apply (zenon_L146_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.80 apply (zenon_L524_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.80 apply (zenon_L148_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.80 apply (zenon_L151_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.80 apply (zenon_L179_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.80 apply (zenon_L525_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.80 apply (zenon_L355_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.80 apply (zenon_L356_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.80 apply (zenon_L526_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.80 apply (zenon_L357_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.80 apply (zenon_L186_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.80 apply (zenon_L187_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.80 apply (zenon_L188_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.80 apply (zenon_L361_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.80 apply (zenon_L528_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.80 apply (zenon_L529_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.80 apply (zenon_L364_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.80 apply (zenon_L530_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.80 apply (zenon_L241_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.80 apply (zenon_L242_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.80 apply (zenon_L531_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.80 apply (zenon_L272_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.80 apply (zenon_L273_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.80 apply (zenon_L594_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.80 apply (zenon_L369_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.80 apply (zenon_L370_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.80 apply (zenon_L274_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.80 apply (zenon_L275_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.80 apply (zenon_L537_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.80 apply (zenon_L373_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.80 apply (zenon_L538_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.80 apply (zenon_L539_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.80 apply (zenon_L540_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.80 apply (zenon_L378_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.80 apply (zenon_L379_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.80 apply (zenon_L541_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.80 apply (zenon_L595_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.80 apply (zenon_L382_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.80 apply (zenon_L383_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.80 apply (zenon_L386_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.80 apply (zenon_L387_); trivial.
% 8.61/8.80 apply (zenon_L388_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.80 apply (zenon_L113_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.80 apply (zenon_L114_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.80 apply (zenon_L116_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.80 apply (zenon_L118_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.80 apply (zenon_L514_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.80 apply (zenon_L515_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.80 apply (zenon_L277_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.80 apply (zenon_L389_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.80 apply (zenon_L160_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.80 apply (zenon_L278_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.80 apply (zenon_L163_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.80 apply (zenon_L164_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.80 apply (zenon_L135_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.80 apply (zenon_L546_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.80 apply (zenon_L137_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.80 apply (zenon_L138_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.80 apply (zenon_L139_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.80 apply (zenon_L140_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.80 apply (zenon_L521_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.80 apply (zenon_L142_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.80 apply (zenon_L522_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.80 apply (zenon_L523_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.80 apply (zenon_L146_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.80 apply (zenon_L524_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.80 apply (zenon_L178_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.80 apply (zenon_L151_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.80 apply (zenon_L179_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.80 apply (zenon_L525_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.80 apply (zenon_L355_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.80 apply (zenon_L356_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.80 apply (zenon_L526_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.80 apply (zenon_L357_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.80 apply (zenon_L186_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.80 apply (zenon_L187_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.80 apply (zenon_L188_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.80 apply (zenon_L406_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.80 apply (zenon_L547_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.80 apply (zenon_L192_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.80 apply (zenon_L364_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.80 apply (zenon_L279_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.80 apply (zenon_L241_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.80 apply (zenon_L242_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.80 apply (zenon_L531_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.80 apply (zenon_L272_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.80 apply (zenon_L407_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.80 apply (zenon_L548_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.80 apply (zenon_L369_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.80 apply (zenon_L370_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.80 apply (zenon_L274_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.80 apply (zenon_L281_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.80 apply (zenon_L276_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.80 apply (zenon_L373_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.80 apply (zenon_L549_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.80 apply (zenon_L376_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.80 apply (zenon_L540_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.80 apply (zenon_L378_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.80 apply (zenon_L596_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.80 apply (zenon_L597_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.80 apply (zenon_L595_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.80 apply (zenon_L382_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.80 apply (zenon_L383_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.80 apply (zenon_L386_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.80 apply (zenon_L387_); trivial.
% 8.61/8.80 apply (zenon_L388_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.80 apply (zenon_L113_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.80 apply (zenon_L114_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.80 apply (zenon_L282_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.80 apply (zenon_L118_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.80 apply (zenon_L514_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.80 apply (zenon_L515_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.80 apply (zenon_L283_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.80 apply (zenon_L517_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.80 apply (zenon_L129_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.80 apply (zenon_L284_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.80 apply (zenon_L163_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.80 apply (zenon_L285_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.80 apply (zenon_L135_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.80 apply (zenon_L519_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.80 apply (zenon_L410_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.80 apply (zenon_L138_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.80 apply (zenon_L139_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.80 apply (zenon_L520_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.80 apply (zenon_L286_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.80 apply (zenon_L142_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.80 apply (zenon_L522_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.80 apply (zenon_L523_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.80 apply (zenon_L146_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.80 apply (zenon_L524_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.80 apply (zenon_L411_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.80 apply (zenon_L151_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.80 apply (zenon_L179_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.80 apply (zenon_L287_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.80 apply (zenon_L355_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.80 apply (zenon_L356_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.80 apply (zenon_L412_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.80 apply (zenon_L357_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.80 apply (zenon_L186_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.80 apply (zenon_L187_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.80 apply (zenon_L188_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.80 apply (zenon_L598_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.80 apply (zenon_L599_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.80 apply (zenon_L529_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.80 apply (zenon_L364_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.80 apply (zenon_L530_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.80 apply (zenon_L241_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.80 apply (zenon_L242_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.80 apply (zenon_L531_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.80 apply (zenon_L272_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.80 apply (zenon_L407_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.80 apply (zenon_L594_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.80 apply (zenon_L369_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.80 apply (zenon_L370_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.80 apply (zenon_L274_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.80 apply (zenon_L413_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.80 apply (zenon_L293_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.80 apply (zenon_L373_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.80 apply (zenon_L600_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.80 apply (zenon_L539_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.80 apply (zenon_L414_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.80 apply (zenon_L378_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.80 apply (zenon_L415_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.80 apply (zenon_L601_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.80 apply (zenon_L595_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.80 apply (zenon_L382_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.80 apply (zenon_L383_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.80 apply (zenon_L386_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.80 apply (zenon_L387_); trivial.
% 8.61/8.80 apply (zenon_L388_); trivial.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.61/8.80 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.80 apply (zenon_L113_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.80 apply (zenon_L114_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.80 apply (zenon_L116_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.80 apply (zenon_L417_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.80 apply (zenon_L514_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.80 apply (zenon_L515_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.80 apply (zenon_L516_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.80 apply (zenon_L333_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.80 apply (zenon_L160_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.80 apply (zenon_L518_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.80 apply (zenon_L163_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.80 apply (zenon_L296_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.80 apply (zenon_L135_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.80 apply (zenon_L459_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.80 apply (zenon_L418_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.80 apply (zenon_L138_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.80 apply (zenon_L139_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.80 apply (zenon_L140_); trivial.
% 8.61/8.80 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.80 apply (zenon_L521_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.81 apply (zenon_L419_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.81 apply (zenon_L522_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.81 apply (zenon_L523_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.81 apply (zenon_L146_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.81 apply (zenon_L334_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.81 apply (zenon_L178_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.81 apply (zenon_L151_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.81 apply (zenon_L179_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.81 apply (zenon_L297_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.81 apply (zenon_L298_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.81 apply (zenon_L356_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.81 apply (zenon_L421_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.81 apply (zenon_L357_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.81 apply (zenon_L186_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.81 apply (zenon_L187_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.81 apply (zenon_L188_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.81 apply (zenon_L422_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.81 apply (zenon_L599_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.81 apply (zenon_L192_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.81 apply (zenon_L364_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.81 apply (zenon_L335_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.81 apply (zenon_L241_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.81 apply (zenon_L242_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.81 apply (zenon_L531_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.81 apply (zenon_L299_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.81 apply (zenon_L300_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.81 apply (zenon_L423_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.81 apply (zenon_L369_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.81 apply (zenon_L370_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.81 apply (zenon_L274_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.81 apply (zenon_L413_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.81 apply (zenon_L276_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.81 apply (zenon_L373_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.81 apply (zenon_L600_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.81 apply (zenon_L376_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.81 apply (zenon_L540_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.81 apply (zenon_L378_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.81 apply (zenon_L596_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.81 apply (zenon_L541_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.81 apply (zenon_L595_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.81 apply (zenon_L382_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.81 apply (zenon_L383_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.81 apply (zenon_L386_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.81 apply (zenon_L387_); trivial.
% 8.61/8.81 apply (zenon_L388_); trivial.
% 8.61/8.81 apply (zenon_L53_); trivial.
% 8.61/8.81 (* end of lemma zenon_L602_ *)
% 8.61/8.81 assert (zenon_L603_ : ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = 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(op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_Hcc zenon_H196 zenon_Hf4 zenon_H3b zenon_H2fc zenon_H1d7 zenon_Ha8 zenon_H3a zenon_H197 zenon_H12b zenon_Ha3 zenon_H73 zenon_Hab zenon_H1d9 zenon_Hc2 zenon_H1d zenon_H124 zenon_H2bf zenon_H1dc zenon_H1dd zenon_H169 zenon_H2c0 zenon_H2b8 zenon_H2b5 zenon_H109 zenon_H22e zenon_H31 zenon_H2b zenon_H7d zenon_H129 zenon_H1f6 zenon_H2a5 zenon_H2a4 zenon_H270 zenon_H1d3 zenon_Hb7 zenon_H78 zenon_H192 zenon_H145 zenon_H285 zenon_H295 zenon_H2a3 zenon_Hb4 zenon_H25 zenon_H150 zenon_H1f zenon_H2a2 zenon_H2a1 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H127 zenon_H11f zenon_H67 zenon_H16d zenon_H29f zenon_Hf9 zenon_Hd0 zenon_H22d zenon_H170 zenon_H74 zenon_H6c zenon_H322 zenon_Hbf zenon_H11e zenon_H94 zenon_H2d8 zenon_Hff zenon_He7 zenon_H19a zenon_H329 zenon_H303 zenon_H331 zenon_H153 zenon_Hc5 zenon_H2d2 zenon_H2d4 zenon_H10c zenon_H32e zenon_H35e zenon_H35d zenon_Hba zenon_Hf3 zenon_H134 zenon_H90 zenon_H300 zenon_H9a zenon_H2df zenon_H336 zenon_H2e8 zenon_H164 zenon_H2f3 zenon_H2c9 zenon_H36 zenon_Hf8 zenon_H2e2 zenon_He4 zenon_H105 zenon_H34d zenon_H2f8 zenon_Heb.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.61/8.81 apply (zenon_L512_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.61/8.81 apply (zenon_L319_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.61/8.81 apply (zenon_L513_); trivial.
% 8.61/8.81 apply (zenon_L602_); trivial.
% 8.61/8.81 (* end of lemma zenon_L603_ *)
% 8.61/8.81 assert (zenon_L604_ : ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (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) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H143 zenon_Hcc zenon_Hf4 zenon_H3b zenon_H2fc zenon_H1d7 zenon_Ha8 zenon_H3a zenon_H197 zenon_H12b zenon_Ha3 zenon_H73 zenon_Hab zenon_H1d9 zenon_Hc2 zenon_H1d zenon_H124 zenon_H2bf zenon_H1dc zenon_H1dd zenon_H169 zenon_H2c0 zenon_H2b8 zenon_H2b5 zenon_H109 zenon_H22e zenon_H31 zenon_H2b zenon_H7d zenon_H129 zenon_H1f6 zenon_H2a5 zenon_H2a4 zenon_H270 zenon_H1d3 zenon_Hb7 zenon_H78 zenon_H192 zenon_H145 zenon_H285 zenon_H295 zenon_H2a3 zenon_Hb4 zenon_H25 zenon_H150 zenon_H1f zenon_H2a2 zenon_H2a1 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H127 zenon_H11f zenon_H67 zenon_H16d zenon_H29f zenon_Hf9 zenon_Hd0 zenon_H22d zenon_H170 zenon_H74 zenon_H6c zenon_H322 zenon_Hbf zenon_H11e zenon_H94 zenon_H2d8 zenon_Hff zenon_He7 zenon_H19a zenon_H329 zenon_H303 zenon_H331 zenon_H153 zenon_Hc5 zenon_H2d2 zenon_H2d4 zenon_H10c zenon_H32e zenon_H35e zenon_H35d zenon_Hba zenon_Hf3 zenon_H134 zenon_H90 zenon_H300 zenon_H9a zenon_H2df zenon_H336 zenon_H2e8 zenon_H164 zenon_H2f3 zenon_H2c9 zenon_H36 zenon_Hf8 zenon_H2e2 zenon_He4 zenon_H105 zenon_H34d zenon_H2f8 zenon_Heb.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.81 apply (zenon_L261_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.81 apply (zenon_L103_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.81 apply (zenon_L396_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H165 | zenon_intro zenon_H19b ].
% 8.61/8.81 apply (zenon_L101_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H15a | zenon_intro zenon_H19c ].
% 8.61/8.81 apply (zenon_L472_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H196 ].
% 8.61/8.81 apply (zenon_L509_); trivial.
% 8.61/8.81 apply (zenon_L603_); trivial.
% 8.61/8.81 (* end of lemma zenon_L604_ *)
% 8.61/8.81 assert (zenon_L605_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H11f zenon_H1d zenon_H127 zenon_H105 zenon_H16b zenon_Hff zenon_H108 zenon_Hd0 zenon_H5a zenon_He4.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.81 apply (zenon_L73_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.81 apply (zenon_L434_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.81 apply (zenon_L108_); trivial.
% 8.61/8.81 apply (zenon_L503_); trivial.
% 8.61/8.81 (* end of lemma zenon_L605_ *)
% 8.61/8.81 assert (zenon_L606_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (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) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H303 zenon_H67 zenon_H143 zenon_Hf4 zenon_H169 zenon_H3b zenon_H7d zenon_H11f zenon_H1d zenon_H127 zenon_H105 zenon_Hff zenon_H108 zenon_Hd0 zenon_H5a zenon_He4.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.81 apply (zenon_L261_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.81 apply (zenon_L103_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.81 apply (zenon_L396_); trivial.
% 8.61/8.81 apply (zenon_L605_); trivial.
% 8.61/8.81 (* end of lemma zenon_L606_ *)
% 8.61/8.81 assert (zenon_L607_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = 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(e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((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 (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_Heb zenon_H2f8 zenon_H34d zenon_H2e2 zenon_Hf8 zenon_H36 zenon_H2c9 zenon_H2f3 zenon_H164 zenon_H2e8 zenon_H336 zenon_H2df zenon_H9a zenon_H300 zenon_H90 zenon_H134 zenon_Hf3 zenon_Hba zenon_H35d zenon_H35e zenon_H32e zenon_H10c zenon_H2d4 zenon_H2d2 zenon_Hc5 zenon_H153 zenon_H331 zenon_H329 zenon_H19a zenon_He7 zenon_H2d8 zenon_H11e zenon_Hbf zenon_H322 zenon_H6c zenon_H74 zenon_H170 zenon_H22d zenon_Hf9 zenon_H29f zenon_H16d zenon_H27f zenon_H173 zenon_H137 zenon_H282 zenon_H2a1 zenon_H2a2 zenon_H1f zenon_H150 zenon_H25 zenon_Hb4 zenon_H2a3 zenon_H295 zenon_H285 zenon_H145 zenon_H192 zenon_H78 zenon_Hb7 zenon_H1d3 zenon_H270 zenon_H2a4 zenon_H2a5 zenon_H1f6 zenon_H129 zenon_H2b zenon_H31 zenon_H22e zenon_H109 zenon_H2b5 zenon_H2b8 zenon_H2c0 zenon_H1dd zenon_H1dc zenon_H2bf zenon_H124 zenon_Hc2 zenon_H1d9 zenon_Hab zenon_H73 zenon_Ha3 zenon_H12b zenon_H197 zenon_H3a zenon_Ha8 zenon_H1d7 zenon_H2fc zenon_H94 zenon_H303 zenon_H67 zenon_H143 zenon_Hf4 zenon_H169 zenon_H3b zenon_H7d zenon_H11f zenon_H1d zenon_H127 zenon_H105 zenon_Hff zenon_Hd0 zenon_H5a zenon_He4.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.81 apply (zenon_L508_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.81 apply (zenon_L604_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.81 apply (zenon_L28_); trivial.
% 8.61/8.81 apply (zenon_L606_); trivial.
% 8.61/8.81 (* end of lemma zenon_L607_ *)
% 8.61/8.81 assert (zenon_L608_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H2d8 zenon_He4 zenon_Hd0 zenon_Hff zenon_Hd1 zenon_H105 zenon_H109 zenon_H108 zenon_H5a zenon_He7.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H2d9 ].
% 8.61/8.81 apply (zenon_L500_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H16b | zenon_intro zenon_H2da ].
% 8.61/8.81 apply (zenon_L434_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3c | zenon_intro zenon_H195 ].
% 8.61/8.81 apply (zenon_L63_); trivial.
% 8.61/8.81 apply (zenon_L501_); trivial.
% 8.61/8.81 (* end of lemma zenon_L608_ *)
% 8.61/8.81 assert (zenon_L609_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H329 zenon_H7d zenon_Hd6 zenon_He7 zenon_H109 zenon_H105 zenon_Hd1 zenon_Hff zenon_Hd0 zenon_He4 zenon_H2d8 zenon_H3b zenon_H3a zenon_Ha8 zenon_H5a.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.81 apply (zenon_L81_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.81 apply (zenon_L608_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.81 apply (zenon_L6_); trivial.
% 8.61/8.81 apply (zenon_L439_); trivial.
% 8.61/8.81 (* end of lemma zenon_L609_ *)
% 8.61/8.81 assert (zenon_L610_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (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 (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H11f zenon_H1d zenon_H127 zenon_H109 zenon_H329 zenon_H7d zenon_Hd6 zenon_He7 zenon_H105 zenon_Hff zenon_Hd0 zenon_He4 zenon_H12b zenon_H143 zenon_H2d8 zenon_H3b zenon_H3a zenon_Ha8 zenon_H5a.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.81 apply (zenon_L73_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.81 apply (zenon_L609_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.81 apply (zenon_L253_); trivial.
% 8.61/8.81 apply (zenon_L505_); trivial.
% 8.61/8.81 (* end of lemma zenon_L610_ *)
% 8.61/8.81 assert (zenon_L611_ : (~((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H363 zenon_H77.
% 8.61/8.81 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.61/8.81 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 8.61/8.81 congruence.
% 8.61/8.81 exact (zenon_H7b zenon_H77).
% 8.61/8.81 apply zenon_H3f. apply refl_equal.
% 8.61/8.81 (* end of lemma zenon_L611_ *)
% 8.61/8.81 assert (zenon_L612_ : ((op (e2) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> (~((e3) = (op (op (e0) (e0)) (e0)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H27e zenon_H77 zenon_H31a.
% 8.61/8.81 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e3) = (op (op (e0) (e0)) (e0)))).
% 8.61/8.81 intro zenon_D_pnotp.
% 8.61/8.81 apply zenon_H31a.
% 8.61/8.81 rewrite <- zenon_D_pnotp.
% 8.61/8.81 exact zenon_H28a.
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 8.61/8.81 congruence.
% 8.61/8.81 cut (((op (e2) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))).
% 8.61/8.81 intro zenon_D_pnotp.
% 8.61/8.81 apply zenon_H31b.
% 8.61/8.81 rewrite <- zenon_D_pnotp.
% 8.61/8.81 exact zenon_H27e.
% 8.61/8.81 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.81 cut (((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H364].
% 8.61/8.81 congruence.
% 8.61/8.81 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))).
% 8.61/8.81 intro zenon_D_pnotp.
% 8.61/8.81 apply zenon_H364.
% 8.61/8.81 rewrite <- zenon_D_pnotp.
% 8.61/8.81 exact zenon_H28a.
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H363].
% 8.61/8.81 congruence.
% 8.61/8.81 apply (zenon_L611_); trivial.
% 8.61/8.81 apply zenon_H28b. apply refl_equal.
% 8.61/8.81 apply zenon_H28b. apply refl_equal.
% 8.61/8.81 apply zenon_H58. apply refl_equal.
% 8.61/8.81 apply zenon_H28b. apply refl_equal.
% 8.61/8.81 apply zenon_H28b. apply refl_equal.
% 8.61/8.81 (* end of lemma zenon_L612_ *)
% 8.61/8.81 assert (zenon_L613_ : ((op (e3) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_Hf6 zenon_H27e zenon_H77.
% 8.61/8.81 apply (zenon_notand_s _ _ ax18); [ zenon_intro zenon_H13b | zenon_intro zenon_H365 ].
% 8.61/8.81 apply zenon_H13b. apply sym_equal. exact zenon_H77.
% 8.61/8.81 apply (zenon_notand_s _ _ zenon_H365); [ zenon_intro zenon_H366 | zenon_intro zenon_H31a ].
% 8.61/8.81 elim (classic ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H290 | zenon_intro zenon_H291 ].
% 8.61/8.81 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) = ((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))).
% 8.61/8.81 intro zenon_D_pnotp.
% 8.61/8.81 apply zenon_H366.
% 8.61/8.81 rewrite <- zenon_D_pnotp.
% 8.61/8.81 exact zenon_H290.
% 8.61/8.81 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 8.61/8.81 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 8.61/8.81 congruence.
% 8.61/8.81 cut (((op (e3) (e2)) = (e1)) = ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (e1))).
% 8.61/8.81 intro zenon_D_pnotp.
% 8.61/8.81 apply zenon_H367.
% 8.61/8.81 rewrite <- zenon_D_pnotp.
% 8.61/8.81 exact zenon_Hf6.
% 8.61/8.81 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.81 cut (((op (e3) (e2)) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H368].
% 8.61/8.81 congruence.
% 8.61/8.81 elim (classic ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H290 | zenon_intro zenon_H291 ].
% 8.61/8.81 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) = ((op (e3) (e2)) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))).
% 8.61/8.81 intro zenon_D_pnotp.
% 8.61/8.81 apply zenon_H368.
% 8.61/8.81 rewrite <- zenon_D_pnotp.
% 8.61/8.81 exact zenon_H290.
% 8.61/8.81 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 8.61/8.81 cut (((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H369].
% 8.61/8.81 congruence.
% 8.61/8.81 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 8.61/8.81 congruence.
% 8.61/8.81 cut (((op (e2) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))).
% 8.61/8.81 intro zenon_D_pnotp.
% 8.61/8.81 apply zenon_H31b.
% 8.61/8.81 rewrite <- zenon_D_pnotp.
% 8.61/8.81 exact zenon_H27e.
% 8.61/8.81 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.81 cut (((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H364].
% 8.61/8.81 congruence.
% 8.61/8.81 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ].
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))).
% 8.61/8.81 intro zenon_D_pnotp.
% 8.61/8.81 apply zenon_H364.
% 8.61/8.81 rewrite <- zenon_D_pnotp.
% 8.61/8.81 exact zenon_H28a.
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 8.61/8.81 cut (((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H363].
% 8.61/8.81 congruence.
% 8.61/8.81 apply (zenon_L611_); trivial.
% 8.61/8.81 apply zenon_H28b. apply refl_equal.
% 8.61/8.81 apply zenon_H28b. apply refl_equal.
% 8.61/8.81 apply zenon_H58. apply refl_equal.
% 8.61/8.81 exact (zenon_H7b zenon_H77).
% 8.61/8.81 apply zenon_H291. apply refl_equal.
% 8.61/8.81 apply zenon_H291. apply refl_equal.
% 8.61/8.81 apply zenon_H40. apply refl_equal.
% 8.61/8.81 apply zenon_H291. apply refl_equal.
% 8.61/8.81 apply zenon_H291. apply refl_equal.
% 8.61/8.81 apply (zenon_L612_); trivial.
% 8.61/8.81 (* end of lemma zenon_L613_ *)
% 8.61/8.81 assert (zenon_L614_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H2df zenon_Ha3 zenon_H276 zenon_Hab zenon_H73 zenon_H3b zenon_H7d zenon_H27e zenon_H77.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.81 apply (zenon_L245_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.81 apply (zenon_L93_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.81 apply (zenon_L396_); trivial.
% 8.61/8.81 apply (zenon_L613_); trivial.
% 8.61/8.81 (* end of lemma zenon_L614_ *)
% 8.61/8.81 assert (zenon_L615_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H36a zenon_H77 zenon_Hf6 zenon_Ha3 zenon_H15a zenon_Ha8 zenon_H3b zenon_H5a zenon_He7.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.61/8.81 apply (zenon_L613_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.61/8.81 apply (zenon_L395_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.61/8.81 apply (zenon_L346_); trivial.
% 8.61/8.81 apply (zenon_L501_); trivial.
% 8.61/8.81 (* end of lemma zenon_L615_ *)
% 8.61/8.81 assert (zenon_L616_ : (((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)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H2df zenon_Ha3 zenon_H276 zenon_Had zenon_H67 zenon_H3b zenon_H7d zenon_H1d9 zenon_Hf4.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.81 apply (zenon_L245_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.81 apply (zenon_L110_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.81 apply (zenon_L396_); trivial.
% 8.61/8.81 apply (zenon_L319_); trivial.
% 8.61/8.81 (* end of lemma zenon_L616_ *)
% 8.61/8.81 assert (zenon_L617_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_Hc5 zenon_Hc2 zenon_Hf4 zenon_H1d9 zenon_H7d zenon_H67 zenon_H276 zenon_Ha3 zenon_H2df zenon_H3b zenon_H78 zenon_H170 zenon_H14e.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.61/8.81 apply (zenon_L341_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.61/8.81 apply (zenon_L616_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.61/8.81 apply (zenon_L40_); trivial.
% 8.61/8.81 apply (zenon_L111_); trivial.
% 8.61/8.81 (* end of lemma zenon_L617_ *)
% 8.61/8.81 assert (zenon_L618_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H2e8 zenon_H78 zenon_H2df zenon_Ha3 zenon_H67 zenon_H7d zenon_H1d9 zenon_Hf4 zenon_Hc2 zenon_Hc5 zenon_H2d2 zenon_H9a zenon_H29f zenon_H71 zenon_H170 zenon_H14e zenon_H2d4 zenon_Ha8 zenon_H3b zenon_Heb zenon_H5a.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.61/8.81 apply (zenon_L617_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.61/8.81 apply (zenon_L564_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.61/8.81 apply (zenon_L346_); trivial.
% 8.61/8.81 apply (zenon_L53_); trivial.
% 8.61/8.81 (* end of lemma zenon_L618_ *)
% 8.61/8.81 assert (zenon_L619_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H1d9 zenon_H73 zenon_Hab zenon_H2e8 zenon_H2df zenon_Ha3 zenon_H67 zenon_Hc2 zenon_Hc5 zenon_H2d2 zenon_H9a zenon_H29f zenon_H170 zenon_H14e zenon_H2d4 zenon_Ha8 zenon_Heb zenon_H5a zenon_H2fc zenon_H1d7 zenon_H3a zenon_H197 zenon_H12b zenon_H124 zenon_H2bf zenon_H1dc zenon_H1dd zenon_H169 zenon_H2c0 zenon_H2b8 zenon_H2b5 zenon_H109 zenon_H22e zenon_H31 zenon_H2b zenon_H129 zenon_H1f6 zenon_H2a5 zenon_H2a4 zenon_H270 zenon_H1d3 zenon_Hb7 zenon_H192 zenon_H145 zenon_H285 zenon_H295 zenon_H2a3 zenon_Hb4 zenon_H25 zenon_H150 zenon_H1f zenon_H2a2 zenon_H2a1 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H127 zenon_H11f zenon_H16d zenon_Hf9 zenon_Hd0 zenon_H22d zenon_H74 zenon_H6c zenon_H322 zenon_Hbf zenon_H11e zenon_H94 zenon_H2d8 zenon_Hff zenon_H19a zenon_H329 zenon_H303 zenon_H331 zenon_H153 zenon_H10c zenon_H32e zenon_H35e zenon_H35d zenon_Hba zenon_Hf3 zenon_H134 zenon_H300 zenon_H336 zenon_H164 zenon_H2f3 zenon_H2c9 zenon_H36 zenon_Hf8 zenon_H2e2 zenon_He4 zenon_H105 zenon_H34d zenon_H2f8 zenon_H36a zenon_He7 zenon_H78 zenon_H1d zenon_H90 zenon_H3b zenon_H7d.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.81 apply (zenon_L543_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.81 apply (zenon_L77_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.61/8.81 apply (zenon_L245_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.61/8.81 apply (zenon_L564_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.61/8.81 apply (zenon_L346_); trivial.
% 8.61/8.81 apply (zenon_L53_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.81 apply (zenon_L77_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.81 apply (zenon_L20_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.61/8.81 apply (zenon_L614_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.61/8.81 apply (zenon_L564_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.61/8.81 apply (zenon_L346_); trivial.
% 8.61/8.81 apply (zenon_L602_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.61/8.81 apply (zenon_L395_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.61/8.81 apply (zenon_L346_); trivial.
% 8.61/8.81 apply (zenon_L501_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.81 apply (zenon_L93_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.81 apply (zenon_L396_); trivial.
% 8.61/8.81 apply (zenon_L615_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.81 apply (zenon_L618_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.81 apply (zenon_L93_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.81 apply (zenon_L396_); trivial.
% 8.61/8.81 apply (zenon_L319_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.81 apply (zenon_L80_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.81 apply (zenon_L565_); trivial.
% 8.61/8.81 apply (zenon_L81_); trivial.
% 8.61/8.81 (* end of lemma zenon_L619_ *)
% 8.61/8.81 assert (zenon_L620_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_Heb zenon_H2f8 zenon_H34d zenon_H2e2 zenon_Hf8 zenon_H36 zenon_H2c9 zenon_H2f3 zenon_H164 zenon_H2e8 zenon_H336 zenon_H2df zenon_H9a zenon_H300 zenon_H90 zenon_H134 zenon_Hf3 zenon_Hba zenon_H35d zenon_H35e zenon_H32e zenon_H10c zenon_H2d4 zenon_H2d2 zenon_Hc5 zenon_H153 zenon_H331 zenon_H303 zenon_H329 zenon_H19a zenon_H94 zenon_H11e zenon_Hbf zenon_H322 zenon_H6c zenon_H74 zenon_H170 zenon_H22d zenon_Hf9 zenon_H29f zenon_H16d zenon_H67 zenon_H11f zenon_H127 zenon_H27f zenon_H173 zenon_H137 zenon_H282 zenon_H2a1 zenon_H2a2 zenon_H1f zenon_H150 zenon_H25 zenon_Hb4 zenon_H2a3 zenon_H295 zenon_H285 zenon_H145 zenon_H192 zenon_H78 zenon_Hb7 zenon_H1d3 zenon_H270 zenon_H2a4 zenon_H2a5 zenon_H1f6 zenon_H129 zenon_H7d zenon_H2b zenon_H31 zenon_H22e zenon_H2b5 zenon_H2b8 zenon_H2c0 zenon_H169 zenon_H1dd zenon_H1dc zenon_H2bf zenon_H124 zenon_H1d zenon_Hc2 zenon_H1d9 zenon_Hab zenon_H73 zenon_Ha3 zenon_H12b zenon_H197 zenon_H3a zenon_Ha8 zenon_H1d7 zenon_H2fc zenon_H3b zenon_H143 zenon_H154 zenon_H2d8 zenon_He4 zenon_Hd0 zenon_Hff zenon_Hd1 zenon_H105 zenon_H109 zenon_H5a zenon_He7.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.81 apply (zenon_L77_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.81 apply (zenon_L20_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.81 apply (zenon_L502_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.81 apply (zenon_L508_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.81 apply (zenon_L604_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.81 apply (zenon_L97_); trivial.
% 8.61/8.81 apply (zenon_L608_); trivial.
% 8.61/8.81 (* end of lemma zenon_L620_ *)
% 8.61/8.81 assert (zenon_L621_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H2b8 zenon_Ha8 zenon_H7d zenon_H329 zenon_Ha2 zenon_H41 zenon_H2b5 zenon_H197 zenon_H15a zenon_H109 zenon_He7 zenon_H3a zenon_H3b zenon_H105 zenon_Hd4 zenon_Hff zenon_Hd0 zenon_He4 zenon_H12b zenon_H143 zenon_H2d8 zenon_H5a zenon_H16d.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.61/8.81 apply (zenon_L505_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.61/8.81 apply (zenon_L247_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.61/8.81 apply (zenon_L472_); trivial.
% 8.61/8.81 apply (zenon_L506_); trivial.
% 8.61/8.81 (* end of lemma zenon_L621_ *)
% 8.61/8.81 assert (zenon_L622_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.61/8.81 do 0 intro. intros zenon_H11e zenon_H24 zenon_H12e zenon_H164 zenon_H191 zenon_H118 zenon_Hd6 zenon_H7d.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.81 apply (zenon_L304_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.81 apply (zenon_L314_); trivial.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.81 apply (zenon_L70_); trivial.
% 8.61/8.81 apply (zenon_L81_); trivial.
% 8.61/8.81 (* end of lemma zenon_L622_ *)
% 8.61/8.81 assert (zenon_L623_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False).
% 8.61/8.81 do 0 intro. intros zenon_Hbf zenon_H78 zenon_H154 zenon_H7d zenon_H2f8 zenon_H24 zenon_H134 zenon_H94 zenon_H2d2 zenon_H1df zenon_H91.
% 8.61/8.81 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.61/8.82 apply (zenon_L128_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.61/8.82 apply (zenon_L97_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.61/8.82 apply (zenon_L396_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Had | zenon_intro zenon_H2f9 ].
% 8.61/8.82 apply (zenon_L397_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H29 | zenon_intro zenon_H2fa ].
% 8.61/8.82 apply (zenon_L104_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha7 ].
% 8.61/8.82 apply (zenon_L320_); trivial.
% 8.61/8.82 apply (zenon_L431_); trivial.
% 8.61/8.82 (* end of lemma zenon_L623_ *)
% 8.61/8.82 assert (zenon_L624_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H10c zenon_H73 zenon_H2c9 zenon_H191 zenon_H303 zenon_H67 zenon_H143 zenon_H164 zenon_H6b zenon_H1df zenon_H2d2 zenon_H94 zenon_H134 zenon_H24 zenon_H2f8 zenon_H7d zenon_H154 zenon_H78 zenon_Hbf zenon_H105 zenon_Hd1 zenon_Hff zenon_Hd0 zenon_H5a zenon_He4.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.82 apply (zenon_L508_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.82 apply (zenon_L509_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.82 apply (zenon_L97_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.82 apply (zenon_L261_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.82 apply (zenon_L534_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.82 apply (zenon_L623_); trivial.
% 8.61/8.82 apply (zenon_L434_); trivial.
% 8.61/8.82 (* end of lemma zenon_L624_ *)
% 8.61/8.82 assert (zenon_L625_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H303 zenon_H67 zenon_H143 zenon_H191 zenon_H1df zenon_H2d2 zenon_H94 zenon_H134 zenon_H24 zenon_H2f8 zenon_H7d zenon_H154 zenon_H78 zenon_Hbf zenon_Hff zenon_Hd6.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.82 apply (zenon_L261_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.82 apply (zenon_L149_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.82 apply (zenon_L623_); trivial.
% 8.61/8.82 apply (zenon_L107_); trivial.
% 8.61/8.82 (* end of lemma zenon_L625_ *)
% 8.61/8.82 assert (zenon_L626_ : (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H78 zenon_H191 zenon_H165.
% 8.61/8.82 cut (((op (e2) (e1)) = (e2)) = ((e0) = (e2))).
% 8.61/8.82 intro zenon_D_pnotp.
% 8.61/8.82 apply zenon_H78.
% 8.61/8.82 rewrite <- zenon_D_pnotp.
% 8.61/8.82 exact zenon_H191.
% 8.61/8.82 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.61/8.82 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H36d].
% 8.61/8.82 congruence.
% 8.61/8.82 exact (zenon_H36d zenon_H165).
% 8.61/8.82 apply zenon_H4b. apply refl_equal.
% 8.61/8.82 (* end of lemma zenon_L626_ *)
% 8.61/8.82 assert (zenon_L627_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H1d3 zenon_H14e zenon_H1df.
% 8.61/8.82 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 8.61/8.82 intro zenon_D_pnotp.
% 8.61/8.82 apply zenon_H1d3.
% 8.61/8.82 rewrite <- zenon_D_pnotp.
% 8.61/8.82 exact zenon_H14e.
% 8.61/8.82 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 8.61/8.82 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 8.61/8.82 congruence.
% 8.61/8.82 apply zenon_H172. apply refl_equal.
% 8.61/8.82 apply zenon_H1e0. apply sym_equal. exact zenon_H1df.
% 8.61/8.82 (* end of lemma zenon_L627_ *)
% 8.61/8.82 assert (zenon_L628_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H169 zenon_H191 zenon_H1d8.
% 8.61/8.82 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 8.61/8.82 intro zenon_D_pnotp.
% 8.61/8.82 apply zenon_H169.
% 8.61/8.82 rewrite <- zenon_D_pnotp.
% 8.61/8.82 exact zenon_H191.
% 8.61/8.82 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 8.61/8.82 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 8.61/8.82 congruence.
% 8.61/8.82 apply zenon_H16a. apply refl_equal.
% 8.61/8.82 apply zenon_H1db. apply sym_equal. exact zenon_H1d8.
% 8.61/8.82 (* end of lemma zenon_L628_ *)
% 8.61/8.82 assert (zenon_L629_ : ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H14e zenon_H6b zenon_H191 zenon_H2f8 zenon_H34d zenon_H105 zenon_He4 zenon_H2bf zenon_H2e2 zenon_Hf8 zenon_H2a3 zenon_H36 zenon_H124 zenon_H11f zenon_Hf9 zenon_H285 zenon_H27f zenon_H282 zenon_H150 zenon_Hb7 zenon_H2c9 zenon_H295 zenon_H1dc zenon_H2c0 zenon_H270 zenon_H1f zenon_H16d zenon_H2f3 zenon_H164 zenon_H2fc zenon_H3a zenon_H73 zenon_Hb4 zenon_H2e8 zenon_H2a4 zenon_H1dd zenon_H336 zenon_H2a1 zenon_H137 zenon_H2df zenon_H9a zenon_H300 zenon_H90 zenon_H134 zenon_Hf3 zenon_Hba zenon_H35d zenon_H35e zenon_H6c zenon_H12b zenon_H129 zenon_H2a5 zenon_H32e zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_Hab zenon_H2b zenon_H22d zenon_H127 zenon_H173 zenon_H331 zenon_Hd0 zenon_H2b5 zenon_H1d3 zenon_Hc2 zenon_H303 zenon_H329 zenon_H78 zenon_H7d zenon_H19a zenon_H192 zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H169 zenon_H31 zenon_H2a2 zenon_H74 zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H1f6 zenon_Ha8 zenon_H1d7 zenon_H1d9.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 8.61/8.82 apply (zenon_L627_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1e1 ].
% 8.61/8.82 apply (zenon_L313_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1b1 ].
% 8.61/8.82 apply (zenon_L628_); trivial.
% 8.61/8.82 apply (zenon_L593_); trivial.
% 8.61/8.82 (* end of lemma zenon_L629_ *)
% 8.61/8.82 assert (zenon_L630_ : (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H129 zenon_H93 zenon_H108.
% 8.61/8.82 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 8.61/8.82 intro zenon_D_pnotp.
% 8.61/8.82 apply zenon_H129.
% 8.61/8.82 rewrite <- zenon_D_pnotp.
% 8.61/8.82 exact zenon_H93.
% 8.61/8.82 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H10b].
% 8.61/8.82 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.61/8.82 congruence.
% 8.61/8.82 apply zenon_H2d. apply refl_equal.
% 8.61/8.82 apply zenon_H10b. apply sym_equal. exact zenon_H108.
% 8.61/8.82 (* end of lemma zenon_L630_ *)
% 8.61/8.82 assert (zenon_L631_ : (((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 (e2) (e3)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H2b5 zenon_H30 zenon_Hd0 zenon_H16b zenon_H93 zenon_H129 zenon_H109 zenon_H195.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.61/8.82 apply (zenon_L47_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.61/8.82 apply (zenon_L106_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.61/8.82 apply (zenon_L630_); trivial.
% 8.61/8.82 apply (zenon_L473_); trivial.
% 8.61/8.82 (* end of lemma zenon_L631_ *)
% 8.61/8.82 assert (zenon_L632_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((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) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H2b8 zenon_H67 zenon_Hb4 zenon_H73 zenon_H2b5 zenon_H30 zenon_Hd0 zenon_H16d zenon_H93 zenon_H129 zenon_H109 zenon_H195.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.61/8.82 apply (zenon_L343_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.61/8.82 apply (zenon_L119_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.61/8.82 apply (zenon_L631_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.61/8.82 apply (zenon_L47_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.61/8.82 apply (zenon_L267_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.61/8.82 apply (zenon_L630_); trivial.
% 8.61/8.82 apply (zenon_L473_); trivial.
% 8.61/8.82 (* end of lemma zenon_L632_ *)
% 8.61/8.82 assert (zenon_L633_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H1bd zenon_H191 zenon_H2f8 zenon_H34d zenon_H105 zenon_He4 zenon_H2bf zenon_H2e2 zenon_Hf8 zenon_H2a3 zenon_H36 zenon_H124 zenon_H11f zenon_Hf9 zenon_H285 zenon_H27f zenon_H282 zenon_H150 zenon_Hb7 zenon_H2c9 zenon_H295 zenon_H1dc zenon_H2c0 zenon_H270 zenon_H1f zenon_H16d zenon_H2f3 zenon_H164 zenon_H2fc zenon_H3a zenon_Hb4 zenon_H2e8 zenon_H2a4 zenon_H1dd zenon_H336 zenon_H2a1 zenon_H137 zenon_H2df zenon_H9a zenon_H300 zenon_H90 zenon_H134 zenon_Hf3 zenon_Hba zenon_H35d zenon_H35e zenon_H6c zenon_H12b zenon_H129 zenon_H2a5 zenon_H32e zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_Hab zenon_H2b zenon_H22d zenon_H127 zenon_H173 zenon_H331 zenon_Hd0 zenon_H2b5 zenon_H1d3 zenon_Hc2 zenon_H303 zenon_H329 zenon_H78 zenon_H7d zenon_H19a zenon_H192 zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H169 zenon_H31 zenon_H2a2 zenon_H74 zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H1f6 zenon_Ha8 zenon_H1d7 zenon_H1d9.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H73. zenon_intro zenon_H1be.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6b. zenon_intro zenon_H180.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.61/8.82 apply (zenon_L629_); trivial.
% 8.61/8.82 (* end of lemma zenon_L633_ *)
% 8.61/8.82 assert (zenon_L634_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H221 zenon_H1f6 zenon_H191.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H98. zenon_intro zenon_H222.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H195. zenon_intro zenon_H1a5.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H3b. zenon_intro zenon_H3b.
% 8.61/8.82 apply (zenon_L198_); trivial.
% 8.61/8.82 (* end of lemma zenon_L634_ *)
% 8.61/8.82 assert (zenon_L635_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H21d zenon_H191 zenon_H192.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H98. zenon_intro zenon_H21e.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H195. zenon_intro zenon_H19f.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H7e. zenon_intro zenon_Hc8.
% 8.61/8.82 apply (zenon_L125_); trivial.
% 8.61/8.82 (* end of lemma zenon_L635_ *)
% 8.61/8.82 assert (zenon_L636_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H329 zenon_H78 zenon_H30 zenon_H93 zenon_H129 zenon_H191 zenon_H197 zenon_H59 zenon_H98.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.82 apply (zenon_L394_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.82 apply (zenon_L630_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.82 apply (zenon_L191_); trivial.
% 8.61/8.82 apply (zenon_L492_); trivial.
% 8.61/8.82 (* end of lemma zenon_L636_ *)
% 8.61/8.82 assert (zenon_L637_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H2fc zenon_H1d7 zenon_Ha8 zenon_H1f6 zenon_H329 zenon_H78 zenon_H129 zenon_H192 zenon_Ha3 zenon_Hab zenon_H1d9 zenon_Hc2 zenon_H7d zenon_H74 zenon_H6c zenon_H153 zenon_H67 zenon_H31 zenon_H25 zenon_H22e zenon_H322 zenon_Hbf zenon_H11e zenon_H94 zenon_H2b8 zenon_H2a2 zenon_H169 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H19a zenon_H303 zenon_H1d3 zenon_H2b5 zenon_Hd0 zenon_H331 zenon_H173 zenon_H127 zenon_H22d zenon_H2b zenon_H170 zenon_Hc5 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_H32e zenon_H2a5 zenon_H12b zenon_H35e zenon_H35d zenon_Hba zenon_Hf3 zenon_H134 zenon_H90 zenon_H300 zenon_H9a zenon_H2df zenon_H137 zenon_H2a1 zenon_H336 zenon_H1dd zenon_H2a4 zenon_H2e8 zenon_H3a zenon_H164 zenon_H2f3 zenon_H16d zenon_H1f zenon_H270 zenon_H2c0 zenon_H1dc zenon_H295 zenon_H2c9 zenon_Hb7 zenon_H150 zenon_H282 zenon_H27f zenon_H285 zenon_Hf9 zenon_H11f zenon_H124 zenon_H36 zenon_H2a3 zenon_Hf8 zenon_H2e2 zenon_H2bf zenon_He4 zenon_H105 zenon_H34d zenon_H2f8 zenon_Hb4 zenon_H73 zenon_H191 zenon_H197 zenon_Heb zenon_H98.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.82 apply (zenon_L193_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.82 apply (zenon_L194_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.82 apply (zenon_L195_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.82 apply (zenon_L117_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.82 apply (zenon_L514_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.82 apply (zenon_L515_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.82 apply (zenon_L460_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.82 apply (zenon_L517_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.82 apply (zenon_L197_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.61/8.82 apply (zenon_L303_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.82 apply (zenon_L578_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.82 apply (zenon_L200_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.82 apply (zenon_L135_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.82 apply (zenon_L519_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H30. zenon_intro zenon_H1b3.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H14e. zenon_intro zenon_H1d6.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H195. zenon_intro zenon_H98.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.82 apply (zenon_L543_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.82 apply (zenon_L527_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.61/8.82 apply (zenon_L23_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.61/8.82 apply (zenon_L632_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.61/8.82 apply (zenon_L198_); trivial.
% 8.61/8.82 apply (zenon_L38_); trivial.
% 8.61/8.82 apply (zenon_L343_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.82 apply (zenon_L138_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.82 apply (zenon_L579_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.82 apply (zenon_L520_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.82 apply (zenon_L580_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.82 apply (zenon_L633_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.82 apply (zenon_L522_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.82 apply (zenon_L523_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.82 apply (zenon_L146_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.82 apply (zenon_L524_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.82 apply (zenon_L148_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.82 apply (zenon_L151_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.82 apply (zenon_L206_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.82 apply (zenon_L525_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.82 apply (zenon_L355_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.82 apply (zenon_L356_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.82 apply (zenon_L526_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.82 apply (zenon_L357_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.82 apply (zenon_L464_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.82 apply (zenon_L465_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.82 apply (zenon_L188_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.82 apply (zenon_L361_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.82 apply (zenon_L528_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.82 apply (zenon_L529_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.82 apply (zenon_L364_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.82 apply (zenon_L530_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.82 apply (zenon_L241_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.82 apply (zenon_L242_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.82 apply (zenon_L217_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.82 apply (zenon_L272_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.82 apply (zenon_L273_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.82 apply (zenon_L594_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.82 apply (zenon_L369_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.82 apply (zenon_L370_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.82 apply (zenon_L223_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.82 apply (zenon_L275_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.82 apply (zenon_L537_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.82 apply (zenon_L373_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.82 apply (zenon_L538_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.82 apply (zenon_L539_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.82 apply (zenon_L540_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.82 apply (zenon_L378_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.82 apply (zenon_L379_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H98. zenon_intro zenon_H220.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H195. zenon_intro zenon_H1a2.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.61/8.82 apply (zenon_L632_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.82 apply (zenon_L634_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.82 apply (zenon_L382_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.82 apply (zenon_L383_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.82 apply (zenon_L386_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.82 apply (zenon_L387_); trivial.
% 8.61/8.82 apply (zenon_L388_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.82 apply (zenon_L193_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.82 apply (zenon_L194_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.82 apply (zenon_L116_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.82 apply (zenon_L118_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.82 apply (zenon_L514_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.82 apply (zenon_L515_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.82 apply (zenon_L277_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.82 apply (zenon_L389_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.82 apply (zenon_L129_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.82 apply (zenon_L278_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.82 apply (zenon_L199_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.82 apply (zenon_L200_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.82 apply (zenon_L202_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.82 apply (zenon_L546_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H30. zenon_intro zenon_H1b3.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H14e. zenon_intro zenon_H1d6.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.61/8.82 apply (zenon_L73_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.61/8.82 apply (zenon_L572_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.61/8.82 apply (zenon_L626_); trivial.
% 8.61/8.82 apply (zenon_L627_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.82 apply (zenon_L138_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.82 apply (zenon_L579_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.82 apply (zenon_L520_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.82 apply (zenon_L580_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.82 apply (zenon_L633_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.82 apply (zenon_L522_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.82 apply (zenon_L523_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.82 apply (zenon_L203_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.82 apply (zenon_L524_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.82 apply (zenon_L204_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.82 apply (zenon_L150_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.82 apply (zenon_L206_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.82 apply (zenon_L207_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.82 apply (zenon_L208_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.82 apply (zenon_L356_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.82 apply (zenon_L526_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.82 apply (zenon_L357_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.82 apply (zenon_L209_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.82 apply (zenon_L210_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.82 apply (zenon_L211_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.82 apply (zenon_L598_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.82 apply (zenon_L547_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.82 apply (zenon_L529_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.82 apply (zenon_L213_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.82 apply (zenon_L279_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.82 apply (zenon_L215_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.82 apply (zenon_L216_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.82 apply (zenon_L217_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.82 apply (zenon_L218_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.82 apply (zenon_L219_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.82 apply (zenon_L548_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.82 apply (zenon_L369_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.82 apply (zenon_L370_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.82 apply (zenon_L223_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.82 apply (zenon_L281_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.82 apply (zenon_L225_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.82 apply (zenon_L372_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.82 apply (zenon_L549_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.82 apply (zenon_L376_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.82 apply (zenon_L540_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.82 apply (zenon_L378_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.82 apply (zenon_L635_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.82 apply (zenon_L597_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.82 apply (zenon_L634_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.82 apply (zenon_L382_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.82 apply (zenon_L383_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.82 apply (zenon_L386_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.82 apply (zenon_L387_); trivial.
% 8.61/8.82 apply (zenon_L388_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.82 apply (zenon_L193_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.82 apply (zenon_L194_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.82 apply (zenon_L282_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.82 apply (zenon_L117_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.82 apply (zenon_L514_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.82 apply (zenon_L515_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.82 apply (zenon_L283_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.82 apply (zenon_L517_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.82 apply (zenon_L197_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.82 apply (zenon_L284_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.82 apply (zenon_L578_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.82 apply (zenon_L285_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.82 apply (zenon_L135_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.82 apply (zenon_L519_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.82 apply (zenon_L410_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.82 apply (zenon_L138_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.82 apply (zenon_L579_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.82 apply (zenon_L520_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.82 apply (zenon_L286_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.82 apply (zenon_L633_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.82 apply (zenon_L522_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.82 apply (zenon_L523_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.82 apply (zenon_L146_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.82 apply (zenon_L524_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.82 apply (zenon_L411_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.82 apply (zenon_L151_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.82 apply (zenon_L206_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.82 apply (zenon_L287_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.82 apply (zenon_L355_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.82 apply (zenon_L356_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.82 apply (zenon_L412_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.82 apply (zenon_L357_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.82 apply (zenon_L464_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.82 apply (zenon_L465_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.82 apply (zenon_L188_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.82 apply (zenon_L598_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H6b. zenon_intro zenon_H73.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.82 apply (zenon_L4_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.82 apply (zenon_L499_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.82 apply (zenon_L100_); trivial.
% 8.61/8.82 apply (zenon_L629_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.82 apply (zenon_L529_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.82 apply (zenon_L364_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.82 apply (zenon_L530_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.82 apply (zenon_L241_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.82 apply (zenon_L242_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.82 apply (zenon_L217_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.82 apply (zenon_L272_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.82 apply (zenon_L407_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.82 apply (zenon_L594_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.82 apply (zenon_L369_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.82 apply (zenon_L370_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.82 apply (zenon_L223_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.82 apply (zenon_L224_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.82 apply (zenon_L293_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.82 apply (zenon_L373_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.82 apply (zenon_L600_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.82 apply (zenon_L539_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.82 apply (zenon_L414_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.82 apply (zenon_L378_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.82 apply (zenon_L415_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.82 apply (zenon_L601_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.82 apply (zenon_L634_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.82 apply (zenon_L382_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.82 apply (zenon_L383_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.82 apply (zenon_L386_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.82 apply (zenon_L387_); trivial.
% 8.61/8.82 apply (zenon_L388_); trivial.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.61/8.82 apply (zenon_L193_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.61/8.82 apply (zenon_L194_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.61/8.82 apply (zenon_L116_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.61/8.82 apply (zenon_L417_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.61/8.82 apply (zenon_L514_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.61/8.82 apply (zenon_L515_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.61/8.82 apply (zenon_L516_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.61/8.82 apply (zenon_L333_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.61/8.82 apply (zenon_L129_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H24. zenon_intro zenon_H1a1.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H143. zenon_intro zenon_H1a2.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.61/8.82 apply (zenon_L636_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.61/8.82 apply (zenon_L199_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.61/8.82 apply (zenon_L296_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.61/8.82 apply (zenon_L202_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.61/8.82 apply (zenon_L459_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.61/8.82 apply (zenon_L418_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.61/8.82 apply (zenon_L138_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.61/8.82 apply (zenon_L579_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.61/8.82 apply (zenon_L520_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.61/8.82 apply (zenon_L580_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.61/8.82 apply (zenon_L419_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.61/8.82 apply (zenon_L522_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.61/8.82 apply (zenon_L523_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.61/8.82 apply (zenon_L203_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.61/8.82 apply (zenon_L334_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.61/8.82 apply (zenon_L204_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.61/8.82 apply (zenon_L150_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.61/8.82 apply (zenon_L206_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.61/8.82 apply (zenon_L297_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.61/8.82 apply (zenon_L298_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.61/8.82 apply (zenon_L356_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.61/8.82 apply (zenon_L421_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.61/8.82 apply (zenon_L357_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.61/8.82 apply (zenon_L209_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.61/8.82 apply (zenon_L210_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.61/8.82 apply (zenon_L211_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.61/8.82 apply (zenon_L422_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H191. zenon_intro zenon_H1f3.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H93. zenon_intro zenon_H183.
% 8.61/8.82 apply (zenon_L636_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.61/8.82 apply (zenon_L529_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.61/8.82 apply (zenon_L213_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.61/8.82 apply (zenon_L335_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.61/8.82 apply (zenon_L215_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.61/8.82 apply (zenon_L216_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.61/8.82 apply (zenon_L217_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.61/8.82 apply (zenon_L299_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.61/8.82 apply (zenon_L300_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.61/8.82 apply (zenon_L423_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.61/8.82 apply (zenon_L369_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.61/8.82 apply (zenon_L370_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.61/8.82 apply (zenon_L223_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.61/8.82 apply (zenon_L224_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.61/8.82 apply (zenon_L225_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.61/8.82 apply (zenon_L372_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.61/8.82 apply (zenon_L600_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.61/8.82 apply (zenon_L376_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.61/8.82 apply (zenon_L540_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.61/8.82 apply (zenon_L378_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.61/8.82 apply (zenon_L635_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H98. zenon_intro zenon_H220.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H195. zenon_intro zenon_H1a2.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H93. zenon_intro zenon_H191.
% 8.61/8.82 apply (zenon_L636_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.61/8.82 apply (zenon_L634_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.61/8.82 apply (zenon_L382_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.61/8.82 apply (zenon_L383_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.61/8.82 apply (zenon_L386_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.61/8.82 apply (zenon_L387_); trivial.
% 8.61/8.82 apply (zenon_L388_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.61/8.82 apply (zenon_L119_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.61/8.82 apply (zenon_L191_); trivial.
% 8.61/8.82 apply (zenon_L53_); trivial.
% 8.61/8.82 (* end of lemma zenon_L637_ *)
% 8.61/8.82 assert (zenon_L638_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H2fc zenon_H1d7 zenon_Ha8 zenon_H1f6 zenon_H329 zenon_H78 zenon_H129 zenon_H192 zenon_Ha3 zenon_Hab zenon_H1d9 zenon_Hc2 zenon_H7d zenon_H74 zenon_H6c zenon_H153 zenon_H67 zenon_H31 zenon_H25 zenon_H22e zenon_H322 zenon_Hbf zenon_H11e zenon_H94 zenon_H2b8 zenon_H2a2 zenon_H169 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H19a zenon_H303 zenon_H1d3 zenon_H2b5 zenon_Hd0 zenon_H331 zenon_H173 zenon_H127 zenon_H22d zenon_H2b zenon_H170 zenon_Hc5 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_H32e zenon_H2a5 zenon_H12b zenon_H35e zenon_H35d zenon_Hba zenon_Hf3 zenon_H134 zenon_H90 zenon_H300 zenon_H9a zenon_H2df zenon_H137 zenon_H2a1 zenon_H336 zenon_H1dd zenon_H2a4 zenon_H2e8 zenon_H3a zenon_H164 zenon_H2f3 zenon_H16d zenon_H1f zenon_H270 zenon_H2c0 zenon_H1dc zenon_H295 zenon_H2c9 zenon_Hb7 zenon_H150 zenon_H282 zenon_H27f zenon_H285 zenon_Hf9 zenon_H11f zenon_H124 zenon_H36 zenon_H2a3 zenon_Hf8 zenon_H2e2 zenon_H2bf zenon_He4 zenon_H105 zenon_H34d zenon_H2f8 zenon_Hb4 zenon_H73 zenon_H191 zenon_H197 zenon_Heb.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.61/8.82 apply (zenon_L303_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.61/8.82 apply (zenon_L119_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.61/8.82 apply (zenon_L191_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.82 apply (zenon_L543_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.82 apply (zenon_L527_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.82 apply (zenon_L22_); trivial.
% 8.61/8.82 apply (zenon_L622_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.82 apply (zenon_L2_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.82 apply (zenon_L499_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.82 apply (zenon_L543_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.61/8.82 apply (zenon_L499_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.61/8.82 apply (zenon_L572_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.61/8.82 apply (zenon_L397_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.61/8.82 apply (zenon_L77_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.61/8.82 apply (zenon_L572_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.61/8.82 apply (zenon_L249_); trivial.
% 8.61/8.82 apply (zenon_L624_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.82 apply (zenon_L22_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.61/8.82 apply (zenon_L72_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.61/8.82 apply (zenon_L572_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.61/8.82 apply (zenon_L249_); trivial.
% 8.61/8.82 apply (zenon_L625_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.61/8.82 apply (zenon_L72_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.61/8.82 apply (zenon_L572_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.61/8.82 apply (zenon_L626_); trivial.
% 8.61/8.82 apply (zenon_L627_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.82 apply (zenon_L2_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.82 apply (zenon_L499_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.82 apply (zenon_L100_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.82 apply (zenon_L543_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.82 apply (zenon_L629_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.82 apply (zenon_L22_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.82 apply (zenon_L550_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.82 apply (zenon_L20_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.82 apply (zenon_L99_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.82 apply (zenon_L22_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.82 apply (zenon_L93_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.82 apply (zenon_L329_); trivial.
% 8.61/8.82 apply (zenon_L319_); trivial.
% 8.61/8.82 apply (zenon_L16_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.61/8.82 apply (zenon_L93_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.61/8.82 apply (zenon_L198_); trivial.
% 8.61/8.82 apply (zenon_L637_); trivial.
% 8.61/8.82 (* end of lemma zenon_L638_ *)
% 8.61/8.82 assert (zenon_L639_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.61/8.82 do 0 intro. intros zenon_H36a zenon_Heb zenon_H94 zenon_H11e zenon_Hbf zenon_H322 zenon_H2f8 zenon_H34d zenon_H105 zenon_He4 zenon_H2bf zenon_H2e2 zenon_Hf8 zenon_H2a3 zenon_H36 zenon_H124 zenon_H11f zenon_Hf9 zenon_H285 zenon_H27f zenon_H282 zenon_H150 zenon_Hb7 zenon_H2c9 zenon_H295 zenon_H1dc zenon_H2c0 zenon_H270 zenon_H1f zenon_H16d zenon_H2f3 zenon_H164 zenon_H2fc zenon_H3a zenon_H73 zenon_Hb4 zenon_H2e8 zenon_H2a4 zenon_H1dd zenon_H336 zenon_H2a1 zenon_H137 zenon_H2df zenon_H9a zenon_H300 zenon_H90 zenon_H134 zenon_Hf3 zenon_Hba zenon_H35d zenon_H35e zenon_H6c zenon_H12b zenon_H129 zenon_H2a5 zenon_H32e zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_Hab zenon_H2b zenon_H22d zenon_H127 zenon_H173 zenon_H331 zenon_Hd0 zenon_H2b5 zenon_H1d3 zenon_Hc2 zenon_H303 zenon_H329 zenon_H78 zenon_H7d zenon_H19a zenon_H192 zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H169 zenon_H31 zenon_H2a2 zenon_H74 zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H1f6 zenon_Ha8 zenon_H1d7 zenon_H1d9.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f4 ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.61/8.82 apply (zenon_L72_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.61/8.82 apply (zenon_L93_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.61/8.82 apply (zenon_L73_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.61/8.82 apply (zenon_L119_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.61/8.82 apply (zenon_L6_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.82 apply (zenon_L1_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.82 apply (zenon_L499_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.82 apply (zenon_L76_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.82 apply (zenon_L77_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H26f | zenon_intro zenon_H2ad ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.82 apply (zenon_L77_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.82 apply (zenon_L20_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.82 apply (zenon_L461_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.82 apply (zenon_L502_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.82 apply (zenon_L253_); trivial.
% 8.61/8.82 apply (zenon_L507_); trivial.
% 8.61/8.82 apply (zenon_L607_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H274 | zenon_intro zenon_H2ae ].
% 8.61/8.82 apply (zenon_L244_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H276 | zenon_intro zenon_H103 ].
% 8.61/8.82 apply (zenon_L245_); trivial.
% 8.61/8.82 apply (zenon_L89_); trivial.
% 8.61/8.82 apply (zenon_L610_); trivial.
% 8.61/8.82 apply (zenon_L619_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.61/8.82 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H2b0 ].
% 8.61/8.82 apply (zenon_L1_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b1 ].
% 8.61/8.82 apply (zenon_L82_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H143 | zenon_intro zenon_H14e ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.82 apply (zenon_L77_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.82 apply (zenon_L20_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.61/8.82 apply (zenon_L244_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.82 apply (zenon_L73_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.82 apply (zenon_L620_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.82 apply (zenon_L253_); trivial.
% 8.61/8.82 apply (zenon_L621_); trivial.
% 8.61/8.82 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.61/8.83 apply (zenon_L395_); trivial.
% 8.61/8.83 apply (zenon_L384_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.83 apply (zenon_L508_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.83 apply (zenon_L604_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.83 apply (zenon_L97_); trivial.
% 8.61/8.83 apply (zenon_L606_); trivial.
% 8.61/8.83 apply (zenon_L619_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.61/8.83 apply (zenon_L13_); trivial.
% 8.61/8.83 apply (zenon_L16_); trivial.
% 8.61/8.83 apply (zenon_L602_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2a | zenon_intro zenon_H2f5 ].
% 8.61/8.83 apply (zenon_L20_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1b1 ].
% 8.61/8.83 apply (zenon_L638_); trivial.
% 8.61/8.83 apply (zenon_L593_); trivial.
% 8.61/8.83 (* end of lemma zenon_L639_ *)
% 8.61/8.83 assert (zenon_L640_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.83 do 0 intro. intros zenon_Hbf zenon_H7d zenon_Hb4 zenon_Hab zenon_H2a zenon_H74 zenon_Had zenon_Hb7 zenon_Ha3 zenon_H9f zenon_H71 zenon_H90 zenon_H94 zenon_H9a zenon_Hba zenon_H4c zenon_Ha8 zenon_H98.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.61/8.83 apply (zenon_L23_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.61/8.83 apply (zenon_L37_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.61/8.83 apply (zenon_L12_); trivial.
% 8.61/8.83 apply (zenon_L38_); trivial.
% 8.61/8.83 (* end of lemma zenon_L640_ *)
% 8.61/8.83 assert (zenon_L641_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.83 do 0 intro. intros zenon_Hc5 zenon_H25 zenon_H1e zenon_H4c zenon_Hba zenon_H9a zenon_H94 zenon_H90 zenon_H9f zenon_Ha3 zenon_Hb7 zenon_H74 zenon_H2a zenon_Hb4 zenon_Ha8 zenon_H78 zenon_Hb0 zenon_Hab zenon_H7d zenon_H71 zenon_Hbf zenon_Hc2 zenon_H98.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.61/8.83 apply (zenon_L2_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.61/8.83 apply (zenon_L640_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.61/8.83 apply (zenon_L41_); trivial.
% 8.61/8.83 apply (zenon_L42_); trivial.
% 8.61/8.83 (* end of lemma zenon_L641_ *)
% 8.61/8.83 assert (zenon_L642_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 8.61/8.83 do 0 intro. intros zenon_H10c zenon_Hc2 zenon_Hbf zenon_Hab zenon_Hb4 zenon_H74 zenon_Hb7 zenon_H4c zenon_H25 zenon_Hc5 zenon_Hcb zenon_H6c zenon_Hd0 zenon_Hff zenon_Hf8 zenon_H78 zenon_H1e zenon_Heb zenon_He7 zenon_Hed zenon_Hc9 zenon_Hf9 zenon_H7d zenon_H2a zenon_Hf3 zenon_H98 zenon_Ha3 zenon_He4 zenon_Hd1 zenon_H105 zenon_Ha8 zenon_H9f zenon_H71 zenon_H90 zenon_H94 zenon_H9a zenon_Hba zenon_H3c zenon_H109.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.83 apply (zenon_L641_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.83 apply (zenon_L45_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.83 apply (zenon_L62_); trivial.
% 8.61/8.83 apply (zenon_L63_); trivial.
% 8.61/8.83 (* end of lemma zenon_L642_ *)
% 8.61/8.83 assert (zenon_L643_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> False).
% 8.61/8.83 do 0 intro. intros zenon_H35e zenon_H35d zenon_H34d zenon_H36a zenon_H3c zenon_Hed zenon_H98 zenon_H71 zenon_H2a zenon_H9f zenon_H9a zenon_H4c zenon_H1e zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_Ha8 zenon_H192 zenon_Ha3 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf9 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_H16d zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_H7d.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.61/8.83 apply (zenon_L17_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.61/8.83 apply (zenon_L639_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.83 apply (zenon_L21_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.61/8.83 apply (zenon_L21_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.61/8.83 apply (zenon_L641_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.61/8.83 apply (zenon_L44_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.83 apply (zenon_L641_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.83 apply (zenon_L46_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.61/8.83 apply (zenon_L30_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.61/8.83 apply (zenon_L31_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.61/8.83 apply (zenon_L32_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.83 apply (zenon_L4_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.83 apply (zenon_L642_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.83 apply (zenon_L65_); trivial.
% 8.61/8.83 apply (zenon_L69_); trivial.
% 8.61/8.83 apply (zenon_L63_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.83 apply (zenon_L23_); trivial.
% 8.61/8.83 apply (zenon_L59_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.61/8.83 apply (zenon_L21_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.61/8.83 apply (zenon_L641_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.61/8.83 apply (zenon_L495_); trivial.
% 8.61/8.83 apply (zenon_L55_); trivial.
% 8.61/8.83 (* end of lemma zenon_L643_ *)
% 8.61/8.83 assert (zenon_L644_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False).
% 8.61/8.83 do 0 intro. intros zenon_Hbf zenon_H71 zenon_H7d zenon_Hab zenon_Hb0 zenon_H3c zenon_H3a zenon_H65.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.61/8.83 apply (zenon_L23_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.61/8.83 apply (zenon_L34_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.61/8.83 apply (zenon_L6_); trivial.
% 8.61/8.83 apply (zenon_L295_); trivial.
% 8.61/8.83 (* end of lemma zenon_L644_ *)
% 8.61/8.83 assert (zenon_L645_ : (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> False).
% 8.61/8.83 do 0 intro. intros zenon_H64 zenon_Hf0 zenon_H1df.
% 8.61/8.83 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e1))) = (e1))).
% 8.61/8.83 intro zenon_D_pnotp.
% 8.61/8.83 apply zenon_H64.
% 8.61/8.83 rewrite <- zenon_D_pnotp.
% 8.61/8.83 exact zenon_Hf0.
% 8.61/8.83 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.83 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 8.61/8.83 congruence.
% 8.61/8.83 elim (classic ((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1))))); [ zenon_intro zenon_H29b | zenon_intro zenon_H29c ].
% 8.61/8.83 cut (((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e1))))).
% 8.61/8.83 intro zenon_D_pnotp.
% 8.61/8.83 apply zenon_H36e.
% 8.61/8.83 rewrite <- zenon_D_pnotp.
% 8.61/8.83 exact zenon_H29b.
% 8.61/8.83 cut (((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 8.61/8.83 cut (((op (e3) (op (e3) (e1))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H36f].
% 8.61/8.83 congruence.
% 8.61/8.83 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H370].
% 8.61/8.83 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.83 congruence.
% 8.61/8.83 apply zenon_H58. apply refl_equal.
% 8.61/8.83 exact (zenon_H370 zenon_H1df).
% 8.61/8.83 apply zenon_H29c. apply refl_equal.
% 8.61/8.83 apply zenon_H29c. apply refl_equal.
% 8.61/8.83 apply zenon_H40. apply refl_equal.
% 8.61/8.83 (* end of lemma zenon_L645_ *)
% 8.61/8.83 assert (zenon_L646_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 8.61/8.83 do 0 intro. intros zenon_Hf9 zenon_H1df zenon_H64 zenon_H2a zenon_Hf3 zenon_H98 zenon_Ha3 zenon_He4 zenon_Hd6.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.61/8.83 apply (zenon_L645_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.61/8.83 apply (zenon_L56_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.61/8.83 apply (zenon_L57_); trivial.
% 8.61/8.83 apply (zenon_L51_); trivial.
% 8.61/8.83 (* end of lemma zenon_L646_ *)
% 8.61/8.83 assert (zenon_L647_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 8.61/8.83 do 0 intro. intros zenon_H2d4 zenon_H1df zenon_H1d9 zenon_H71 zenon_H29f zenon_H65 zenon_Ha7 zenon_H2d2.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.61/8.83 apply (zenon_L573_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.61/8.83 apply (zenon_L266_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.61/8.83 apply (zenon_L295_); trivial.
% 8.61/8.83 apply (zenon_L358_); trivial.
% 8.61/8.83 (* end of lemma zenon_L647_ *)
% 8.61/8.83 assert (zenon_L648_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 8.61/8.83 do 0 intro. intros zenon_Hba zenon_H9a zenon_H98 zenon_H93 zenon_H94 zenon_H90 zenon_H9f zenon_Ha3 zenon_H2a zenon_H2d2 zenon_H65 zenon_H29f zenon_H71 zenon_H1d9 zenon_H1df zenon_H2d4 zenon_Hd0 zenon_H103.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.61/8.83 apply (zenon_L30_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.61/8.83 apply (zenon_L31_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.61/8.83 apply (zenon_L647_); trivial.
% 8.61/8.83 apply (zenon_L60_); trivial.
% 8.61/8.83 (* end of lemma zenon_L648_ *)
% 8.61/8.83 assert (zenon_L649_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 8.61/8.83 do 0 intro. intros zenon_H105 zenon_Hd1 zenon_He4 zenon_Hf3 zenon_H64 zenon_Hf9 zenon_Hff zenon_H3c zenon_Hba zenon_H9a zenon_H98 zenon_H93 zenon_H94 zenon_H90 zenon_H9f zenon_Ha3 zenon_H2a zenon_H2d2 zenon_H65 zenon_H29f zenon_H71 zenon_H1d9 zenon_H1df zenon_H2d4 zenon_Hd0.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.61/8.83 apply (zenon_L47_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.61/8.83 apply (zenon_L646_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.61/8.83 apply (zenon_L59_); trivial.
% 8.61/8.83 apply (zenon_L648_); trivial.
% 8.61/8.83 (* end of lemma zenon_L649_ *)
% 8.61/8.83 assert (zenon_L650_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 8.61/8.83 do 0 intro. intros zenon_H10c zenon_H3a zenon_Hab zenon_Hbf zenon_H7d zenon_Hd0 zenon_H2d4 zenon_H1df zenon_H1d9 zenon_H71 zenon_H29f zenon_H65 zenon_H2d2 zenon_H2a zenon_Ha3 zenon_H9f zenon_H90 zenon_H94 zenon_H98 zenon_H9a zenon_Hba zenon_Hff zenon_Hf9 zenon_H64 zenon_Hf3 zenon_He4 zenon_Hd1 zenon_H105 zenon_H3c zenon_H109.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.83 apply (zenon_L644_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.83 apply (zenon_L46_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.83 apply (zenon_L649_); trivial.
% 8.61/8.83 apply (zenon_L63_); trivial.
% 8.61/8.83 (* end of lemma zenon_L650_ *)
% 8.61/8.83 assert (zenon_L651_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((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)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.61/8.83 do 0 intro. intros zenon_H11e zenon_H109 zenon_Ha8 zenon_H371 zenon_H62 zenon_H78 zenon_H10c zenon_H3a zenon_Hab zenon_Hbf zenon_H2d4 zenon_H1d9 zenon_H29f zenon_H65 zenon_H2d2 zenon_H9f zenon_H90 zenon_H94 zenon_H9a zenon_Hba zenon_H64 zenon_H1e zenon_H31 zenon_H11f zenon_Hc2 zenon_Hf9 zenon_H2a zenon_Hf3 zenon_H98 zenon_Ha3 zenon_H105 zenon_He4 zenon_Hc9 zenon_Hd0 zenon_H6c zenon_Hf8 zenon_H71 zenon_H7d zenon_H3c zenon_Hff.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.83 apply (zenon_L21_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.61/8.83 apply (zenon_L21_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.61/8.83 apply (zenon_L644_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.61/8.83 apply (zenon_L44_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.83 apply (zenon_L644_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.83 apply (zenon_L45_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.61/8.83 apply (zenon_L30_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.61/8.83 apply (zenon_L31_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.61/8.83 apply (zenon_L32_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.61/8.83 apply (zenon_L416_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.83 apply (zenon_L4_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.83 apply (zenon_L650_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.83 apply (zenon_L65_); trivial.
% 8.61/8.83 apply (zenon_L69_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.61/8.83 apply (zenon_L42_); trivial.
% 8.61/8.83 apply (zenon_L69_); trivial.
% 8.61/8.83 apply (zenon_L63_); trivial.
% 8.61/8.83 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.83 apply (zenon_L23_); trivial.
% 8.61/8.83 apply (zenon_L59_); trivial.
% 8.61/8.83 (* end of lemma zenon_L651_ *)
% 8.61/8.83 assert (zenon_L652_ : ((op (e0) (e0)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H1e zenon_H65 zenon_H3c zenon_H71 zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_Ha8 zenon_H192 zenon_Ha3 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf9 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_H16d zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_Hf0 zenon_H7d.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.61/8.84 apply (zenon_L21_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.61/8.84 apply (zenon_L644_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.61/8.84 apply (zenon_L495_); trivial.
% 8.61/8.84 apply (zenon_L55_); trivial.
% 8.61/8.84 (* end of lemma zenon_L652_ *)
% 8.61/8.84 assert (zenon_L653_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H371 zenon_H67 zenon_Hf0 zenon_H64 zenon_H98 zenon_Hc2 zenon_Hb0 zenon_Hd6.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.61/8.84 apply (zenon_L94_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.61/8.84 apply (zenon_L645_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.61/8.84 apply (zenon_L42_); trivial.
% 8.61/8.84 apply (zenon_L50_); trivial.
% 8.61/8.84 (* end of lemma zenon_L653_ *)
% 8.61/8.84 assert (zenon_L654_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H1e zenon_Hd6 zenon_H98 zenon_H64 zenon_H371 zenon_Heb zenon_H12b zenon_H2a zenon_H36 zenon_H2a5 zenon_H2a4 zenon_H29f zenon_H137 zenon_H11e zenon_H331 zenon_Hb4 zenon_Hc5 zenon_H153 zenon_Hab zenon_H74 zenon_Hb7 zenon_H170 zenon_H145 zenon_H10c zenon_H2a2 zenon_H31 zenon_Hba zenon_Hc2 zenon_Ha3 zenon_H2d2 zenon_Ha8 zenon_H329 zenon_H78 zenon_H22d zenon_H173 zenon_H2b zenon_H1d9 zenon_H1d7 zenon_H192 zenon_H2b8 zenon_H197 zenon_H1f6 zenon_H127 zenon_H25 zenon_H22e zenon_H3a zenon_H2d4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H129 zenon_H2fc zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H1dd zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf9 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H282 zenon_H2c9 zenon_H19a zenon_H295 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H270 zenon_H1f zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H303 zenon_Hbf zenon_H2a1 zenon_He4 zenon_H16d zenon_H27f zenon_H322 zenon_Hd0 zenon_H105 zenon_H6c zenon_H150 zenon_H67 zenon_Hf0 zenon_H7d.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.61/8.84 apply (zenon_L21_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.61/8.84 apply (zenon_L653_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.61/8.84 apply (zenon_L494_); trivial.
% 8.61/8.84 apply (zenon_L55_); trivial.
% 8.61/8.84 (* end of lemma zenon_L654_ *)
% 8.61/8.84 assert (zenon_L655_ : (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H7d zenon_H67 zenon_H150 zenon_H6c zenon_H105 zenon_Hd0 zenon_H322 zenon_H27f zenon_H16d zenon_H2a1 zenon_Hbf zenon_H303 zenon_H1d3 zenon_H2df zenon_H2f3 zenon_H1f zenon_H270 zenon_H2b5 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H295 zenon_H19a zenon_H2c9 zenon_H282 zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H2a3 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2bf zenon_H124 zenon_H11f zenon_H2fc zenon_H129 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H32e zenon_H2d4 zenon_H3a zenon_H22e zenon_H25 zenon_H127 zenon_H1f6 zenon_H197 zenon_H2b8 zenon_H192 zenon_H1d7 zenon_H1d9 zenon_H2b zenon_H173 zenon_H22d zenon_H78 zenon_H329 zenon_Ha8 zenon_H2d2 zenon_Hc2 zenon_Hba zenon_H31 zenon_H2a2 zenon_H10c zenon_H145 zenon_H170 zenon_Hb7 zenon_H74 zenon_Hab zenon_H153 zenon_Hc5 zenon_Hb4 zenon_H331 zenon_H11e zenon_H137 zenon_H29f zenon_H2a4 zenon_H2a5 zenon_H36 zenon_H2a zenon_H12b zenon_Heb zenon_H371 zenon_H1e zenon_H64 zenon_H98 zenon_Ha3 zenon_He4 zenon_Hd6.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.61/8.84 apply (zenon_L654_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.61/8.84 apply (zenon_L265_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.61/8.84 apply (zenon_L57_); trivial.
% 8.61/8.84 apply (zenon_L51_); trivial.
% 8.61/8.84 (* end of lemma zenon_L655_ *)
% 8.61/8.84 assert (zenon_L656_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H6b zenon_Hcb zenon_H7d.
% 8.61/8.84 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ].
% 8.61/8.84 cut (((e2) = (e2)) = ((e1) = (e2))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H7d.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H79.
% 8.61/8.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.61/8.84 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_Hce.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H6b.
% 8.61/8.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.84 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 8.61/8.84 congruence.
% 8.61/8.84 exact (zenon_H13c zenon_Hcb).
% 8.61/8.84 apply zenon_H40. apply refl_equal.
% 8.61/8.84 apply zenon_H4b. apply refl_equal.
% 8.61/8.84 apply zenon_H4b. apply refl_equal.
% 8.61/8.84 (* end of lemma zenon_L656_ *)
% 8.61/8.84 assert (zenon_L657_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H322 zenon_H7d zenon_Hf0 zenon_H191 zenon_H169 zenon_H29f zenon_H7e zenon_Ha8 zenon_H5a.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.61/8.84 apply (zenon_L55_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.61/8.84 apply (zenon_L628_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.61/8.84 apply (zenon_L398_); trivial.
% 8.61/8.84 apply (zenon_L439_); trivial.
% 8.61/8.84 (* end of lemma zenon_L657_ *)
% 8.61/8.84 assert (zenon_L658_ : (~((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H374 zenon_H358.
% 8.61/8.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.84 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 8.61/8.84 congruence.
% 8.61/8.84 exact (zenon_H35b zenon_H358).
% 8.61/8.84 apply zenon_H40. apply refl_equal.
% 8.61/8.84 (* end of lemma zenon_L658_ *)
% 8.61/8.84 assert (zenon_L659_ : ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((e3) = (op (op (e1) (e1)) (e1)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H274 zenon_H358 zenon_H33c.
% 8.61/8.84 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e3) = (op (op (e1) (e1)) (e1)))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H33c.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H33d.
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H33f].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e0) (e1)) = (e3)) = ((op (op (e1) (e1)) (e1)) = (e3))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H33f.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H274.
% 8.61/8.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.84 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H375].
% 8.61/8.84 congruence.
% 8.61/8.84 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H375.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H33d.
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 8.61/8.84 congruence.
% 8.61/8.84 apply (zenon_L658_); trivial.
% 8.61/8.84 apply zenon_H33e. apply refl_equal.
% 8.61/8.84 apply zenon_H33e. apply refl_equal.
% 8.61/8.84 apply zenon_H58. apply refl_equal.
% 8.61/8.84 apply zenon_H33e. apply refl_equal.
% 8.61/8.84 apply zenon_H33e. apply refl_equal.
% 8.61/8.84 (* end of lemma zenon_L659_ *)
% 8.61/8.84 assert (zenon_L660_ : ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hf1 zenon_H274 zenon_H358.
% 8.61/8.84 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H377 | zenon_intro zenon_H376 ].
% 8.61/8.84 apply zenon_H377. apply sym_equal. exact zenon_H358.
% 8.61/8.84 apply (zenon_notand_s _ _ zenon_H376); [ zenon_intro zenon_H378 | zenon_intro zenon_H33c ].
% 8.61/8.84 elim (classic ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H343 | zenon_intro zenon_H344 ].
% 8.61/8.84 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) = ((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H378.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H343.
% 8.61/8.84 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 8.61/8.84 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H379].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e3) (e0)) = (e2)) = ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (e2))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H379.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_Hf1.
% 8.61/8.84 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.61/8.84 cut (((op (e3) (e0)) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H37a].
% 8.61/8.84 congruence.
% 8.61/8.84 elim (classic ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H343 | zenon_intro zenon_H344 ].
% 8.61/8.84 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) = ((op (e3) (e0)) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H37a.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H343.
% 8.61/8.84 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 8.61/8.84 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H37b].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H33f].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e0) (e1)) = (e3)) = ((op (op (e1) (e1)) (e1)) = (e3))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H33f.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H274.
% 8.61/8.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.84 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H375].
% 8.61/8.84 congruence.
% 8.61/8.84 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H375.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H33d.
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.61/8.84 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 8.61/8.84 congruence.
% 8.61/8.84 apply (zenon_L658_); trivial.
% 8.61/8.84 apply zenon_H33e. apply refl_equal.
% 8.61/8.84 apply zenon_H33e. apply refl_equal.
% 8.61/8.84 apply zenon_H58. apply refl_equal.
% 8.61/8.84 exact (zenon_H35b zenon_H358).
% 8.61/8.84 apply zenon_H344. apply refl_equal.
% 8.61/8.84 apply zenon_H344. apply refl_equal.
% 8.61/8.84 apply zenon_H4b. apply refl_equal.
% 8.61/8.84 apply zenon_H344. apply refl_equal.
% 8.61/8.84 apply zenon_H344. apply refl_equal.
% 8.61/8.84 apply (zenon_L659_); trivial.
% 8.61/8.84 (* end of lemma zenon_L660_ *)
% 8.61/8.84 assert (zenon_L661_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H2e2 zenon_H1f zenon_H1e zenon_H1dd zenon_Hf4 zenon_H164 zenon_H191 zenon_Hf1 zenon_H358.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H1d | zenon_intro zenon_H2e3 ].
% 8.61/8.84 apply (zenon_L1_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H6b | zenon_intro zenon_H2e4 ].
% 8.61/8.84 apply (zenon_L313_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_Hcb | zenon_intro zenon_H274 ].
% 8.61/8.84 apply (zenon_L314_); trivial.
% 8.61/8.84 apply (zenon_L660_); trivial.
% 8.61/8.84 (* end of lemma zenon_L661_ *)
% 8.61/8.84 assert (zenon_L662_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H322 zenon_H358 zenon_H164 zenon_Hf4 zenon_H1dd zenon_H1e zenon_H1f zenon_H2e2 zenon_H191 zenon_H169 zenon_H29f zenon_H7e zenon_Ha8 zenon_H5a.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.61/8.84 apply (zenon_L661_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.61/8.84 apply (zenon_L628_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.61/8.84 apply (zenon_L398_); trivial.
% 8.61/8.84 apply (zenon_L439_); trivial.
% 8.61/8.84 (* end of lemma zenon_L662_ *)
% 8.61/8.84 assert (zenon_L663_ : (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Ha3 zenon_H5a zenon_He5.
% 8.61/8.84 cut (((op (e3) (e3)) = (e3)) = ((e1) = (e3))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_Ha3.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H5a.
% 8.61/8.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.84 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2ec].
% 8.61/8.84 congruence.
% 8.61/8.84 exact (zenon_H2ec zenon_He5).
% 8.61/8.84 apply zenon_H58. apply refl_equal.
% 8.61/8.84 (* end of lemma zenon_L663_ *)
% 8.61/8.84 assert (zenon_L664_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hf9 zenon_H7d zenon_Ha8 zenon_H7e zenon_H29f zenon_H169 zenon_H191 zenon_H2e2 zenon_H1f zenon_H1e zenon_H1dd zenon_H164 zenon_H358 zenon_H322 zenon_H29 zenon_H2d2 zenon_Ha3 zenon_H5a.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.61/8.84 apply (zenon_L657_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.61/8.84 apply (zenon_L662_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.61/8.84 apply (zenon_L466_); trivial.
% 8.61/8.84 apply (zenon_L663_); trivial.
% 8.61/8.84 (* end of lemma zenon_L664_ *)
% 8.61/8.84 assert (zenon_L665_ : ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (~((e3) = (op (op (e2) (e2)) (e2)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H276 zenon_H80 zenon_H310.
% 8.61/8.84 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e3) = (op (op (e2) (e2)) (e2)))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H310.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H83.
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H311].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e0) (e2)) = (e3)) = ((op (op (e2) (e2)) (e2)) = (e3))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H311.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H276.
% 8.61/8.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.84 cut (((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 8.61/8.84 congruence.
% 8.61/8.84 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H86.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H83.
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 8.61/8.84 congruence.
% 8.61/8.84 apply (zenon_L24_); trivial.
% 8.61/8.84 apply zenon_H84. apply refl_equal.
% 8.61/8.84 apply zenon_H84. apply refl_equal.
% 8.61/8.84 apply zenon_H58. apply refl_equal.
% 8.61/8.84 apply zenon_H84. apply refl_equal.
% 8.61/8.84 apply zenon_H84. apply refl_equal.
% 8.61/8.84 (* end of lemma zenon_L665_ *)
% 8.61/8.84 assert (zenon_L666_ : ((op (e3) (e0)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hf0 zenon_H276 zenon_H80.
% 8.61/8.84 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H89 | zenon_intro zenon_H37c ].
% 8.61/8.84 apply zenon_H89. apply sym_equal. exact zenon_H80.
% 8.61/8.84 apply (zenon_notand_s _ _ zenon_H37c); [ zenon_intro zenon_H37d | zenon_intro zenon_H310 ].
% 8.61/8.84 elim (classic ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H8b | zenon_intro zenon_H8c ].
% 8.61/8.84 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) = ((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H37d.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H8b.
% 8.61/8.84 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 8.61/8.84 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e3) (e0)) = (e1)) = ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (e1))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H37e.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_Hf0.
% 8.61/8.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.84 cut (((op (e3) (e0)) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H37f].
% 8.61/8.84 congruence.
% 8.61/8.84 elim (classic ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H8b | zenon_intro zenon_H8c ].
% 8.61/8.84 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) = ((op (e3) (e0)) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H37f.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H8b.
% 8.61/8.84 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 8.61/8.84 cut (((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H380].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H311].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e0) (e2)) = (e3)) = ((op (op (e2) (e2)) (e2)) = (e3))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H311.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H276.
% 8.61/8.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.84 cut (((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 8.61/8.84 congruence.
% 8.61/8.84 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H86.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H83.
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 8.61/8.84 cut (((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 8.61/8.84 congruence.
% 8.61/8.84 apply (zenon_L24_); trivial.
% 8.61/8.84 apply zenon_H84. apply refl_equal.
% 8.61/8.84 apply zenon_H84. apply refl_equal.
% 8.61/8.84 apply zenon_H58. apply refl_equal.
% 8.61/8.84 exact (zenon_H81 zenon_H80).
% 8.61/8.84 apply zenon_H8c. apply refl_equal.
% 8.61/8.84 apply zenon_H8c. apply refl_equal.
% 8.61/8.84 apply zenon_H40. apply refl_equal.
% 8.61/8.84 apply zenon_H8c. apply refl_equal.
% 8.61/8.84 apply zenon_H8c. apply refl_equal.
% 8.61/8.84 apply (zenon_L665_); trivial.
% 8.61/8.84 (* end of lemma zenon_L666_ *)
% 8.61/8.84 assert (zenon_L667_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H300 zenon_H25 zenon_H1e zenon_H134 zenon_H29 zenon_H5a zenon_Ha8 zenon_H29f zenon_H169 zenon_H191 zenon_H7d zenon_H322 zenon_Hf0 zenon_H80.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H24 | zenon_intro zenon_H301 ].
% 8.61/8.84 apply (zenon_L2_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H71 | zenon_intro zenon_H302 ].
% 8.61/8.84 apply (zenon_L78_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7e | zenon_intro zenon_H276 ].
% 8.61/8.84 apply (zenon_L657_); trivial.
% 8.61/8.84 apply (zenon_L666_); trivial.
% 8.61/8.84 (* end of lemma zenon_L667_ *)
% 8.61/8.84 assert (zenon_L668_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hf9 zenon_H80 zenon_H322 zenon_H7d zenon_H191 zenon_H169 zenon_H29f zenon_Ha8 zenon_H134 zenon_H1e zenon_H25 zenon_H300 zenon_H1dd zenon_H6b zenon_H29 zenon_H2d2 zenon_Ha3 zenon_H5a.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.61/8.84 apply (zenon_L667_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.61/8.84 apply (zenon_L313_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.61/8.84 apply (zenon_L466_); trivial.
% 8.61/8.84 apply (zenon_L663_); trivial.
% 8.61/8.84 (* end of lemma zenon_L668_ *)
% 8.61/8.84 assert (zenon_L669_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hc5 zenon_H78 zenon_H7e zenon_H67 zenon_H5a zenon_Ha3 zenon_H2d2 zenon_H29 zenon_H6b zenon_H1dd zenon_H300 zenon_H25 zenon_H1e zenon_H134 zenon_Ha8 zenon_H29f zenon_H169 zenon_H191 zenon_H7d zenon_H322 zenon_Hf9 zenon_H1d9 zenon_H1df.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.61/8.84 apply (zenon_L128_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.61/8.84 apply (zenon_L110_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.61/8.84 apply (zenon_L668_); trivial.
% 8.61/8.84 apply (zenon_L573_); trivial.
% 8.61/8.84 (* end of lemma zenon_L669_ *)
% 8.61/8.84 assert (zenon_L670_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H35e zenon_H164 zenon_H1f zenon_H2e2 zenon_Hc5 zenon_H78 zenon_H7e zenon_H67 zenon_H5a zenon_Ha3 zenon_H2d2 zenon_H29 zenon_H6b zenon_H1dd zenon_H300 zenon_H25 zenon_H1e zenon_H134 zenon_Ha8 zenon_H29f zenon_H169 zenon_H191 zenon_H7d zenon_H322 zenon_Hf9 zenon_H1d9.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.61/8.84 apply (zenon_L77_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.61/8.84 apply (zenon_L664_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.61/8.84 apply (zenon_L626_); trivial.
% 8.61/8.84 apply (zenon_L669_); trivial.
% 8.61/8.84 (* end of lemma zenon_L670_ *)
% 8.61/8.84 assert (zenon_L671_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H2b5 zenon_H109 zenon_He4 zenon_Hd0 zenon_Hff zenon_H16b zenon_H10f zenon_H105 zenon_H5a zenon_H16d.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.61/8.84 apply (zenon_L500_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.61/8.84 apply (zenon_L106_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.61/8.84 apply (zenon_L108_); trivial.
% 8.61/8.84 apply (zenon_L109_); trivial.
% 8.61/8.84 (* end of lemma zenon_L671_ *)
% 8.61/8.84 assert (zenon_L672_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((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 (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H2b8 zenon_H7d zenon_H29 zenon_H129 zenon_H105 zenon_Hff zenon_He4 zenon_H2b5 zenon_H10f zenon_H109 zenon_Hfe zenon_Hd0 zenon_H5a zenon_H16d.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H2b9 ].
% 8.61/8.84 apply (zenon_L81_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H35 | zenon_intro zenon_H2ba ].
% 8.61/8.84 apply (zenon_L74_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H16b | zenon_intro zenon_He5 ].
% 8.61/8.84 apply (zenon_L671_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2b6 ].
% 8.61/8.84 apply (zenon_L500_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H35 | zenon_intro zenon_H2b7 ].
% 8.61/8.84 apply (zenon_L267_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb3 ].
% 8.61/8.84 apply (zenon_L88_); trivial.
% 8.61/8.84 apply (zenon_L109_); trivial.
% 8.61/8.84 (* end of lemma zenon_L672_ *)
% 8.61/8.84 assert (zenon_L673_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H137 zenon_H1e zenon_H143.
% 8.61/8.84 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_H137.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H1e.
% 8.61/8.84 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H381].
% 8.61/8.84 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 8.61/8.84 congruence.
% 8.61/8.84 apply zenon_H27d. apply refl_equal.
% 8.61/8.84 apply zenon_H381. apply sym_equal. exact zenon_H143.
% 8.61/8.84 (* end of lemma zenon_L673_ *)
% 8.61/8.84 assert (zenon_L674_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hc9 zenon_H27e zenon_Ha3.
% 8.61/8.84 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.61/8.84 cut (((e3) = (e3)) = ((e1) = (e3))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_Ha3.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_Ha4.
% 8.61/8.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.84 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 8.61/8.84 congruence.
% 8.61/8.84 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_Ha5.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_Hc9.
% 8.61/8.84 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.61/8.84 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H328].
% 8.61/8.84 congruence.
% 8.61/8.84 exact (zenon_H328 zenon_H27e).
% 8.61/8.84 apply zenon_H40. apply refl_equal.
% 8.61/8.84 apply zenon_H58. apply refl_equal.
% 8.61/8.84 apply zenon_H58. apply refl_equal.
% 8.61/8.84 (* end of lemma zenon_L674_ *)
% 8.61/8.84 assert (zenon_L675_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H2d4 zenon_H1df zenon_H1d9 zenon_H29 zenon_H2d2 zenon_H29f zenon_H7e zenon_H99 zenon_H9a.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.61/8.84 apply (zenon_L573_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.61/8.84 apply (zenon_L466_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.61/8.84 apply (zenon_L398_); trivial.
% 8.61/8.84 apply (zenon_L29_); trivial.
% 8.61/8.84 (* end of lemma zenon_L675_ *)
% 8.61/8.84 assert (zenon_L676_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H36a zenon_Ha3 zenon_Hc9 zenon_Ha8 zenon_H191 zenon_H9a zenon_H7e zenon_H29f zenon_H2d2 zenon_H29 zenon_H1d9 zenon_H1df zenon_H2d4 zenon_H5a zenon_He7.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.61/8.84 apply (zenon_L674_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.61/8.84 apply (zenon_L327_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.61/8.84 apply (zenon_L675_); trivial.
% 8.61/8.84 apply (zenon_L501_); trivial.
% 8.61/8.84 (* end of lemma zenon_L676_ *)
% 8.61/8.84 assert (zenon_L677_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H11e zenon_H78 zenon_H1e zenon_H164 zenon_H5a zenon_Ha8 zenon_H29f zenon_H169 zenon_H191 zenon_Hf0 zenon_H322 zenon_Hd6 zenon_H7d.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.84 apply (zenon_L21_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.84 apply (zenon_L314_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.84 apply (zenon_L657_); trivial.
% 8.61/8.84 apply (zenon_L81_); trivial.
% 8.61/8.84 (* end of lemma zenon_L677_ *)
% 8.61/8.84 assert (zenon_L678_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H300 zenon_H1e zenon_H25 zenon_H66 zenon_Hfe zenon_H153 zenon_H98 zenon_H29f.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H24 | zenon_intro zenon_H301 ].
% 8.61/8.84 apply (zenon_L2_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H71 | zenon_intro zenon_H302 ].
% 8.61/8.84 apply (zenon_L19_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7e | zenon_intro zenon_H276 ].
% 8.61/8.84 apply (zenon_L96_); trivial.
% 8.61/8.84 apply (zenon_L399_); trivial.
% 8.61/8.84 (* end of lemma zenon_L678_ *)
% 8.61/8.84 assert (zenon_L679_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_He4 zenon_Hfe zenon_He8.
% 8.61/8.84 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_He4.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_Hfe.
% 8.61/8.84 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 8.61/8.84 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 8.61/8.84 congruence.
% 8.61/8.84 apply zenon_H33. apply refl_equal.
% 8.61/8.84 apply zenon_He9. apply sym_equal. exact zenon_He8.
% 8.61/8.84 (* end of lemma zenon_L679_ *)
% 8.61/8.84 assert (zenon_L680_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hed zenon_Hc9 zenon_H35 zenon_H16d zenon_Hfe zenon_He4 zenon_H195 zenon_He7.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ].
% 8.61/8.84 apply (zenon_L68_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He5 | zenon_intro zenon_Hef ].
% 8.61/8.84 apply (zenon_L267_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_H5a ].
% 8.61/8.84 apply (zenon_L679_); trivial.
% 8.61/8.84 apply (zenon_L501_); trivial.
% 8.61/8.84 (* end of lemma zenon_L680_ *)
% 8.61/8.84 assert (zenon_L681_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H11e zenon_H78 zenon_H1e zenon_H164 zenon_H191 zenon_H93 zenon_H134 zenon_Hed zenon_Hc9 zenon_H35 zenon_H16d zenon_He4 zenon_H195 zenon_He7.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.84 apply (zenon_L21_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.84 apply (zenon_L314_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.84 apply (zenon_L86_); trivial.
% 8.61/8.84 apply (zenon_L680_); trivial.
% 8.61/8.84 (* end of lemma zenon_L681_ *)
% 8.61/8.84 assert (zenon_L682_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H36a zenon_Ha3 zenon_Ha8 zenon_H9a zenon_H98 zenon_H11e zenon_H78 zenon_H1e zenon_H164 zenon_H191 zenon_H93 zenon_H134 zenon_Hed zenon_Hc9 zenon_H35 zenon_H16d zenon_He4 zenon_He7.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.61/8.84 apply (zenon_L674_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.61/8.84 apply (zenon_L327_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.61/8.84 apply (zenon_L29_); trivial.
% 8.61/8.84 apply (zenon_L681_); trivial.
% 8.61/8.84 (* end of lemma zenon_L682_ *)
% 8.61/8.84 assert (zenon_L683_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hbf zenon_H71 zenon_H7d zenon_He7 zenon_He4 zenon_H16d zenon_H35 zenon_Hc9 zenon_Hed zenon_H134 zenon_H164 zenon_H1e zenon_H78 zenon_H11e zenon_H9a zenon_Ha3 zenon_H36a zenon_H191 zenon_H1f6 zenon_Ha8 zenon_H98.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.61/8.84 apply (zenon_L23_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.61/8.84 apply (zenon_L682_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.61/8.84 apply (zenon_L198_); trivial.
% 8.61/8.84 apply (zenon_L38_); trivial.
% 8.61/8.84 (* end of lemma zenon_L683_ *)
% 8.61/8.84 assert (zenon_L684_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hbf zenon_H118 zenon_Hab zenon_Hb0 zenon_H91 zenon_H7d zenon_Ha8 zenon_H98.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.61/8.84 apply (zenon_L70_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.61/8.84 apply (zenon_L34_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.61/8.84 apply (zenon_L396_); trivial.
% 8.61/8.84 apply (zenon_L38_); trivial.
% 8.61/8.84 (* end of lemma zenon_L684_ *)
% 8.61/8.84 assert (zenon_L685_ : (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_Hc2 zenon_H1b1 zenon_H1df.
% 8.61/8.84 cut (((op (e3) (e1)) = (e3)) = ((e0) = (e3))).
% 8.61/8.84 intro zenon_D_pnotp.
% 8.61/8.84 apply zenon_Hc2.
% 8.61/8.84 rewrite <- zenon_D_pnotp.
% 8.61/8.84 exact zenon_H1b1.
% 8.61/8.84 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.84 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H370].
% 8.61/8.84 congruence.
% 8.61/8.84 exact (zenon_H370 zenon_H1df).
% 8.61/8.84 apply zenon_H58. apply refl_equal.
% 8.61/8.84 (* end of lemma zenon_L685_ *)
% 8.61/8.84 assert (zenon_L686_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H2a3 zenon_H127 zenon_H103 zenon_H35 zenon_H41 zenon_Ha8 zenon_H191 zenon_Hc2 zenon_H1df.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.61/8.84 apply (zenon_L315_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.61/8.84 apply (zenon_L247_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.61/8.84 apply (zenon_L327_); trivial.
% 8.61/8.84 apply (zenon_L685_); trivial.
% 8.61/8.84 (* end of lemma zenon_L686_ *)
% 8.61/8.84 assert (zenon_L687_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.61/8.84 do 0 intro. intros zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He8 zenon_He4 zenon_Hff zenon_H195.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.61/8.84 apply (zenon_L91_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.61/8.84 apply (zenon_L246_); trivial.
% 8.61/8.84 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.61/8.84 apply (zenon_L679_); trivial.
% 8.61/8.84 apply (zenon_L324_); trivial.
% 8.61/8.84 (* end of lemma zenon_L687_ *)
% 8.61/8.84 assert (zenon_L688_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H331 zenon_H1df zenon_Hc2 zenon_H191 zenon_H41 zenon_H127 zenon_H2a3 zenon_H2c3 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H10f zenon_H105 zenon_Ha8 zenon_He8.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.61/8.85 apply (zenon_L686_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.61/8.85 apply (zenon_L544_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.61/8.85 apply (zenon_L687_); trivial.
% 8.61/8.85 apply (zenon_L439_); trivial.
% 8.61/8.85 (* end of lemma zenon_L688_ *)
% 8.61/8.85 assert (zenon_L689_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H322 zenon_H7d zenon_Hf0 zenon_H169 zenon_H98 zenon_H331 zenon_H1df zenon_Hc2 zenon_H191 zenon_H41 zenon_H127 zenon_H2a3 zenon_H2c3 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H10f zenon_H105 zenon_Ha8.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.61/8.85 apply (zenon_L55_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.61/8.85 apply (zenon_L628_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.61/8.85 apply (zenon_L38_); trivial.
% 8.61/8.85 apply (zenon_L688_); trivial.
% 8.61/8.85 (* end of lemma zenon_L689_ *)
% 8.61/8.85 assert (zenon_L690_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_Hf9 zenon_H7d zenon_Hf1 zenon_H1dd zenon_H6b zenon_H98 zenon_Ha3 zenon_H16d zenon_H35.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.61/8.85 apply (zenon_L55_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.61/8.85 apply (zenon_L313_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.61/8.85 apply (zenon_L57_); trivial.
% 8.61/8.85 apply (zenon_L267_); trivial.
% 8.61/8.85 (* end of lemma zenon_L690_ *)
% 8.61/8.85 assert (zenon_L691_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H105 zenon_Hd4 zenon_Hd0 zenon_H35 zenon_He8 zenon_He4 zenon_Hff zenon_H195.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H30 | zenon_intro zenon_H106 ].
% 8.61/8.85 apply (zenon_L66_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H107 ].
% 8.61/8.85 apply (zenon_L246_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfe | zenon_intro zenon_H103 ].
% 8.61/8.85 apply (zenon_L679_); trivial.
% 8.61/8.85 apply (zenon_L324_); trivial.
% 8.61/8.85 (* end of lemma zenon_L691_ *)
% 8.61/8.85 assert (zenon_L692_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H331 zenon_H127 zenon_H274 zenon_Ha3 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_Hd4 zenon_H105 zenon_Ha8 zenon_He8.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.61/8.85 apply (zenon_L315_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.61/8.85 apply (zenon_L124_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.61/8.85 apply (zenon_L691_); trivial.
% 8.61/8.85 apply (zenon_L439_); trivial.
% 8.61/8.85 (* end of lemma zenon_L692_ *)
% 8.61/8.85 assert (zenon_L693_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H322 zenon_H16d zenon_H98 zenon_H6b zenon_H1dd zenon_H7d zenon_Hf9 zenon_H191 zenon_H169 zenon_H29f zenon_H7e zenon_H331 zenon_H127 zenon_H274 zenon_Ha3 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_Hd4 zenon_H105 zenon_Ha8.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.61/8.85 apply (zenon_L690_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.61/8.85 apply (zenon_L628_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.61/8.85 apply (zenon_L398_); trivial.
% 8.61/8.85 apply (zenon_L692_); trivial.
% 8.61/8.85 (* end of lemma zenon_L693_ *)
% 8.61/8.85 assert (zenon_L694_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H11f zenon_H31 zenon_H1e zenon_H67 zenon_H2c3 zenon_H2a3 zenon_H41 zenon_Hc2 zenon_H1df zenon_Hf0 zenon_H322 zenon_H16d zenon_H98 zenon_H6b zenon_H1dd zenon_H7d zenon_Hf9 zenon_H191 zenon_H169 zenon_H29f zenon_H7e zenon_H331 zenon_H127 zenon_H274 zenon_Ha3 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H105 zenon_Ha8.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.85 apply (zenon_L4_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.85 apply (zenon_L263_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.85 apply (zenon_L689_); trivial.
% 8.61/8.85 apply (zenon_L693_); trivial.
% 8.61/8.85 (* end of lemma zenon_L694_ *)
% 8.61/8.85 assert (zenon_L695_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H371 zenon_Hf0 zenon_H41 zenon_H2a3 zenon_H2c3 zenon_H67 zenon_H1e zenon_H31 zenon_H11f zenon_Hc2 zenon_H322 zenon_H16d zenon_H98 zenon_H6b zenon_H1dd zenon_H7d zenon_Hf9 zenon_H191 zenon_H169 zenon_H29f zenon_H7e zenon_H331 zenon_H127 zenon_H274 zenon_Ha3 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H105 zenon_Ha8.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.61/8.85 apply (zenon_L94_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.61/8.85 apply (zenon_L694_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.61/8.85 apply (zenon_L42_); trivial.
% 8.61/8.85 apply (zenon_L693_); trivial.
% 8.61/8.85 (* end of lemma zenon_L695_ *)
% 8.61/8.85 assert (zenon_L696_ : (~((e2) = (e3))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_Ha8 zenon_H105 zenon_Hd0 zenon_He4 zenon_Hff zenon_H274 zenon_H127 zenon_H331 zenon_H7e zenon_H29f zenon_H169 zenon_H191 zenon_Hf9 zenon_H7d zenon_H322 zenon_Hc2 zenon_H11f zenon_H31 zenon_H1e zenon_H67 zenon_H2c3 zenon_H2a3 zenon_H41 zenon_H371 zenon_H1dd zenon_H6b zenon_H98 zenon_Ha3 zenon_H16d zenon_H35.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.61/8.85 apply (zenon_L695_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.61/8.85 apply (zenon_L313_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.61/8.85 apply (zenon_L57_); trivial.
% 8.61/8.85 apply (zenon_L267_); trivial.
% 8.61/8.85 (* end of lemma zenon_L696_ *)
% 8.61/8.85 assert (zenon_L697_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H16d zenon_Ha3 zenon_H6b zenon_H1dd zenon_H371 zenon_H2a3 zenon_H2c3 zenon_H67 zenon_H1e zenon_H31 zenon_H11f zenon_Hc2 zenon_H322 zenon_H7d zenon_Hf9 zenon_H169 zenon_H29f zenon_H7e zenon_H331 zenon_H127 zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_H35 zenon_H41 zenon_Ha8 zenon_H191 zenon_H1d9 zenon_H98.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.61/8.85 apply (zenon_L696_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.61/8.85 apply (zenon_L247_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.61/8.85 apply (zenon_L327_); trivial.
% 8.61/8.85 apply (zenon_L375_); trivial.
% 8.61/8.85 (* end of lemma zenon_L697_ *)
% 8.61/8.85 assert (zenon_L698_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_Hbf zenon_Hfe zenon_H153 zenon_H154 zenon_H91 zenon_H7d zenon_Ha8 zenon_H98.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.61/8.85 apply (zenon_L96_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.61/8.85 apply (zenon_L97_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.61/8.85 apply (zenon_L396_); trivial.
% 8.61/8.85 apply (zenon_L38_); trivial.
% 8.61/8.85 (* end of lemma zenon_L698_ *)
% 8.61/8.85 assert (zenon_L699_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H2a3 zenon_H127 zenon_H103 zenon_H35 zenon_H41 zenon_Ha8 zenon_H191 zenon_H1d9 zenon_H98.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.61/8.85 apply (zenon_L315_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.61/8.85 apply (zenon_L247_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.61/8.85 apply (zenon_L327_); trivial.
% 8.61/8.85 apply (zenon_L375_); trivial.
% 8.61/8.85 (* end of lemma zenon_L699_ *)
% 8.61/8.85 assert (zenon_L700_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H329 zenon_H91 zenon_H154 zenon_H153 zenon_Hbf zenon_H7d zenon_H197 zenon_H331 zenon_H98 zenon_H1d9 zenon_H191 zenon_H41 zenon_H127 zenon_H2a3 zenon_Ha3 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H10f zenon_H105 zenon_Ha8.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.85 apply (zenon_L698_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.85 apply (zenon_L584_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.85 apply (zenon_L191_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H103 | zenon_intro zenon_H332 ].
% 8.61/8.85 apply (zenon_L699_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H333 ].
% 8.61/8.85 apply (zenon_L124_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H195 | zenon_intro zenon_H5a ].
% 8.61/8.85 apply (zenon_L687_); trivial.
% 8.61/8.85 apply (zenon_L439_); trivial.
% 8.61/8.85 (* end of lemma zenon_L700_ *)
% 8.61/8.85 assert (zenon_L701_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H329 zenon_H98 zenon_H91 zenon_H154 zenon_H153 zenon_Hbf zenon_H7d zenon_H191 zenon_H197 zenon_H331 zenon_H127 zenon_H274 zenon_Ha3 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_Hd4 zenon_H105 zenon_Ha8.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.61/8.85 apply (zenon_L698_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.61/8.85 apply (zenon_L584_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.61/8.85 apply (zenon_L191_); trivial.
% 8.61/8.85 apply (zenon_L692_); trivial.
% 8.61/8.85 (* end of lemma zenon_L701_ *)
% 8.61/8.85 assert (zenon_L702_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H303 zenon_H66 zenon_H137 zenon_Ha8 zenon_H105 zenon_Hd0 zenon_He4 zenon_Hff zenon_Ha3 zenon_H274 zenon_H127 zenon_H331 zenon_H197 zenon_H191 zenon_H7d zenon_Hbf zenon_H153 zenon_H154 zenon_H98 zenon_H329 zenon_H1d9 zenon_H41 zenon_H2a3 zenon_H67 zenon_H1e zenon_H31 zenon_H11f zenon_H109 zenon_H35.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.85 apply (zenon_L250_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.85 apply (zenon_L149_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.61/8.85 apply (zenon_L4_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.61/8.85 apply (zenon_L263_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.61/8.85 apply (zenon_L700_); trivial.
% 8.61/8.85 apply (zenon_L701_); trivial.
% 8.61/8.85 apply (zenon_L106_); trivial.
% 8.61/8.85 (* end of lemma zenon_L702_ *)
% 8.61/8.85 assert (zenon_L703_ : ((op (e0) (e0)) = (e0)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H1e zenon_H93 zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_Ha8 zenon_H192 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_Hf9 zenon_H7d zenon_H1dd zenon_H6b zenon_H98 zenon_Ha3 zenon_H16d zenon_H35.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.61/8.85 apply (zenon_L21_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.61/8.85 apply (zenon_L34_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.61/8.85 apply (zenon_L495_); trivial.
% 8.61/8.85 apply (zenon_L690_); trivial.
% 8.61/8.85 (* end of lemma zenon_L703_ *)
% 8.61/8.85 assert (zenon_L704_ : ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_Hfe zenon_H35 zenon_H16d zenon_Ha3 zenon_H6b zenon_H1dd zenon_Hf9 zenon_H90 zenon_H300 zenon_H2f8 zenon_H134 zenon_H336 zenon_H94 zenon_Heb zenon_H11e zenon_H331 zenon_Hba zenon_H303 zenon_Hbf zenon_He4 zenon_H322 zenon_H105 zenon_H1d3 zenon_H2df zenon_H2f3 zenon_Hd0 zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_Hb7 zenon_H6c zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H27f zenon_H2e8 zenon_H285 zenon_Hf3 zenon_H2a3 zenon_Hf8 zenon_H164 zenon_H2e2 zenon_H2bf zenon_H124 zenon_H11f zenon_H36 zenon_H2fc zenon_H12b zenon_H129 zenon_H2a5 zenon_H329 zenon_H2d8 zenon_Hff zenon_He7 zenon_H109 zenon_H32e zenon_Hb4 zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_H2a2 zenon_H3a zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_H31 zenon_H127 zenon_H78 zenon_H1f6 zenon_Hc2 zenon_Hab zenon_H2b zenon_H197 zenon_H67 zenon_H2b8 zenon_H192 zenon_H1d7 zenon_H22d zenon_H173 zenon_H1d9 zenon_H1e zenon_H91 zenon_H7d zenon_Ha8 zenon_H98.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H7e | zenon_intro zenon_Hc0 ].
% 8.61/8.85 apply (zenon_L96_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc1 ].
% 8.61/8.85 apply (zenon_L703_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbd ].
% 8.61/8.85 apply (zenon_L396_); trivial.
% 8.61/8.85 apply (zenon_L38_); trivial.
% 8.61/8.85 (* end of lemma zenon_L704_ *)
% 8.61/8.85 assert (zenon_L705_ : ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H191 zenon_H36a zenon_H9a zenon_Hed zenon_Hc9 zenon_Ha8 zenon_H7d zenon_H1e zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_H192 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_Hf9 zenon_H1dd zenon_H6b zenon_H16d zenon_H35 zenon_Hfe zenon_Ha3 zenon_H98.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.85 apply (zenon_L683_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.85 apply (zenon_L74_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.85 apply (zenon_L704_); trivial.
% 8.61/8.85 apply (zenon_L57_); trivial.
% 8.61/8.85 (* end of lemma zenon_L705_ *)
% 8.61/8.85 assert (zenon_L706_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_Hed zenon_H9a zenon_H36a zenon_H191 zenon_H98 zenon_Ha8 zenon_H7d zenon_H1e zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_H192 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_Hf9 zenon_H1dd zenon_H6b zenon_Ha3 zenon_H16d zenon_Hfe zenon_H109 zenon_H35.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.85 apply (zenon_L705_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.85 apply (zenon_L149_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.85 apply (zenon_L704_); trivial.
% 8.61/8.85 apply (zenon_L106_); trivial.
% 8.61/8.85 (* end of lemma zenon_L706_ *)
% 8.61/8.85 assert (zenon_L707_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (((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)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = 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(e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H41 zenon_H2c3 zenon_H371 zenon_Hed zenon_H9a zenon_H36a zenon_H191 zenon_H98 zenon_Ha8 zenon_H7d zenon_H1e zenon_H1d9 zenon_H173 zenon_H22d zenon_H1d7 zenon_H192 zenon_H2b8 zenon_H67 zenon_H197 zenon_H2b zenon_Hab zenon_Hc2 zenon_H1f6 zenon_H78 zenon_H127 zenon_H31 zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H3a zenon_H2a2 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_Hb4 zenon_H32e zenon_He7 zenon_Hff zenon_H2d8 zenon_H329 zenon_H2a5 zenon_H129 zenon_H12b zenon_H2fc zenon_H36 zenon_H11f zenon_H124 zenon_H2bf zenon_H2e2 zenon_H164 zenon_Hf8 zenon_H2a3 zenon_Hf3 zenon_H285 zenon_H2e8 zenon_H27f zenon_H137 zenon_H282 zenon_H150 zenon_H74 zenon_H6c zenon_Hb7 zenon_H2c9 zenon_H19a zenon_H295 zenon_H2a1 zenon_H1dc zenon_H169 zenon_H2c0 zenon_H2b5 zenon_H2a4 zenon_H270 zenon_H1f zenon_Hd0 zenon_H2f3 zenon_H2df zenon_H1d3 zenon_H105 zenon_H322 zenon_He4 zenon_Hbf zenon_H303 zenon_Hba zenon_H331 zenon_H11e zenon_Heb zenon_H94 zenon_H336 zenon_H134 zenon_H2f8 zenon_H300 zenon_H90 zenon_Hf9 zenon_H1dd zenon_H6b zenon_Ha3 zenon_H16d zenon_H109 zenon_H35.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.85 apply (zenon_L21_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.85 apply (zenon_L656_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.85 apply (zenon_L697_); trivial.
% 8.61/8.85 apply (zenon_L706_); trivial.
% 8.61/8.85 (* end of lemma zenon_L707_ *)
% 8.61/8.85 assert (zenon_L708_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H303 zenon_H66 zenon_H137 zenon_Hf4 zenon_H169 zenon_H98 zenon_Ha8 zenon_H7d zenon_H154 zenon_H153 zenon_Hfe zenon_Hbf zenon_H109 zenon_H35.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.85 apply (zenon_L250_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.85 apply (zenon_L103_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.85 apply (zenon_L698_); trivial.
% 8.61/8.85 apply (zenon_L106_); trivial.
% 8.61/8.85 (* end of lemma zenon_L708_ *)
% 8.61/8.85 assert (zenon_L709_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H303 zenon_H1f6 zenon_H36a zenon_Ha3 zenon_H9a zenon_H11e zenon_H78 zenon_H1e zenon_H164 zenon_H134 zenon_Hed zenon_H16d zenon_He4 zenon_He7 zenon_H71 zenon_H191 zenon_H98 zenon_Ha8 zenon_H7d zenon_H154 zenon_H153 zenon_Hbf zenon_H109 zenon_H35.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.85 apply (zenon_L21_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.85 apply (zenon_L314_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.85 apply (zenon_L23_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.85 apply (zenon_L683_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.85 apply (zenon_L149_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.85 apply (zenon_L698_); trivial.
% 8.61/8.85 apply (zenon_L106_); trivial.
% 8.61/8.85 (* end of lemma zenon_L709_ *)
% 8.61/8.85 assert (zenon_L710_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H322 zenon_H7d zenon_Hf0 zenon_H191 zenon_H169 zenon_Ha8 zenon_H59 zenon_H98.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.61/8.85 apply (zenon_L55_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.61/8.85 apply (zenon_L628_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.61/8.85 apply (zenon_L38_); trivial.
% 8.61/8.85 apply (zenon_L492_); trivial.
% 8.61/8.85 (* end of lemma zenon_L710_ *)
% 8.61/8.85 assert (zenon_L711_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (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)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H16d zenon_Ha3 zenon_H322 zenon_H7d zenon_H169 zenon_Ha8 zenon_Hf9 zenon_H303 zenon_H129 zenon_Hbf zenon_He7 zenon_He4 zenon_Hed zenon_H134 zenon_H164 zenon_H1e zenon_H78 zenon_H11e zenon_H9a zenon_H36a zenon_H1f6 zenon_H2df zenon_H109 zenon_H1dd zenon_H90 zenon_H300 zenon_H2f8 zenon_H336 zenon_H94 zenon_H331 zenon_Hba zenon_H105 zenon_H1d3 zenon_H2f3 zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2c0 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_Hb7 zenon_H6c zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H27f zenon_H2e8 zenon_H285 zenon_Hf3 zenon_H2a3 zenon_Hf8 zenon_H2e2 zenon_H2bf zenon_H124 zenon_H11f zenon_H36 zenon_H2fc zenon_H12b zenon_H2a5 zenon_H329 zenon_H2d8 zenon_Hff zenon_H32e zenon_Hb4 zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_H2a2 zenon_H3a zenon_Hc5 zenon_H170 zenon_H22e zenon_H25 zenon_H31 zenon_H127 zenon_Hc2 zenon_Hab zenon_H2b zenon_H67 zenon_H2b8 zenon_H192 zenon_H1d7 zenon_H22d zenon_H173 zenon_H1d9 zenon_H371 zenon_H153 zenon_Hd0 zenon_H35e zenon_H35d zenon_H34d zenon_H191 zenon_H197 zenon_Heb zenon_H98.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.61/8.85 apply (zenon_L4_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.85 apply (zenon_L21_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.85 apply (zenon_L314_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.85 apply (zenon_L70_); trivial.
% 8.61/8.85 apply (zenon_L678_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.85 apply (zenon_L527_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.61/8.85 apply (zenon_L19_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.61/8.85 apply (zenon_L637_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.61/8.85 apply (zenon_L683_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.61/8.85 apply (zenon_L21_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.85 apply (zenon_L527_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.85 apply (zenon_L5_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.85 apply (zenon_L149_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.85 apply (zenon_L683_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.85 apply (zenon_L103_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.85 apply (zenon_L684_); trivial.
% 8.61/8.85 apply (zenon_L106_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.61/8.85 apply (zenon_L125_); trivial.
% 8.61/8.85 apply (zenon_L55_); trivial.
% 8.61/8.85 apply (zenon_L246_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.61/8.85 apply (zenon_L21_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.61/8.85 apply (zenon_L314_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.85 apply (zenon_L697_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.85 apply (zenon_L5_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.85 apply (zenon_L149_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H274 | zenon_intro zenon_H2b2 ].
% 8.61/8.85 apply (zenon_L702_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2b3 ].
% 8.61/8.85 apply (zenon_L247_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H196 | zenon_intro zenon_H1b1 ].
% 8.61/8.85 apply (zenon_L258_); trivial.
% 8.61/8.85 apply (zenon_L553_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.61/8.85 apply (zenon_L509_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.61/8.85 apply (zenon_L97_); trivial.
% 8.61/8.85 apply (zenon_L584_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.61/8.85 apply (zenon_L707_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.61/8.85 apply (zenon_L5_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.61/8.85 apply (zenon_L149_); trivial.
% 8.61/8.85 apply (zenon_L708_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.61/8.85 apply (zenon_L707_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.61/8.85 apply (zenon_L709_); trivial.
% 8.61/8.85 apply (zenon_L246_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.61/8.85 apply (zenon_L683_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.61/8.85 apply (zenon_L74_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.61/8.85 apply (zenon_L329_); trivial.
% 8.61/8.85 apply (zenon_L57_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.61/8.85 apply (zenon_L99_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.61/8.85 apply (zenon_L329_); trivial.
% 8.61/8.85 apply (zenon_L106_); trivial.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.61/8.85 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.61/8.85 apply (zenon_L710_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.61/8.85 apply (zenon_L265_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.61/8.85 apply (zenon_L57_); trivial.
% 8.61/8.85 apply (zenon_L267_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.61/8.85 apply (zenon_L191_); trivial.
% 8.61/8.85 apply (zenon_L53_); trivial.
% 8.61/8.85 (* end of lemma zenon_L711_ *)
% 8.61/8.85 assert (zenon_L712_ : ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e2) = (op (op (e1) (e1)) (e1)))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_Hcb zenon_H358 zenon_H382.
% 8.61/8.85 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e2) = (op (op (e1) (e1)) (e1)))).
% 8.61/8.85 intro zenon_D_pnotp.
% 8.61/8.85 apply zenon_H382.
% 8.61/8.85 rewrite <- zenon_D_pnotp.
% 8.61/8.85 exact zenon_H33d.
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H383].
% 8.61/8.85 congruence.
% 8.61/8.85 cut (((op (e0) (e1)) = (e2)) = ((op (op (e1) (e1)) (e1)) = (e2))).
% 8.61/8.85 intro zenon_D_pnotp.
% 8.61/8.85 apply zenon_H383.
% 8.61/8.85 rewrite <- zenon_D_pnotp.
% 8.61/8.85 exact zenon_Hcb.
% 8.61/8.85 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.61/8.85 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H375].
% 8.61/8.85 congruence.
% 8.61/8.85 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))).
% 8.61/8.85 intro zenon_D_pnotp.
% 8.61/8.85 apply zenon_H375.
% 8.61/8.85 rewrite <- zenon_D_pnotp.
% 8.61/8.85 exact zenon_H33d.
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 8.61/8.85 congruence.
% 8.61/8.85 apply (zenon_L658_); trivial.
% 8.61/8.85 apply zenon_H33e. apply refl_equal.
% 8.61/8.85 apply zenon_H33e. apply refl_equal.
% 8.61/8.85 apply zenon_H4b. apply refl_equal.
% 8.61/8.85 apply zenon_H33e. apply refl_equal.
% 8.61/8.85 apply zenon_H33e. apply refl_equal.
% 8.61/8.85 (* end of lemma zenon_L712_ *)
% 8.61/8.85 assert (zenon_L713_ : ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H27e zenon_Hcb zenon_H358.
% 8.61/8.85 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H377 | zenon_intro zenon_H384 ].
% 8.61/8.85 apply zenon_H377. apply sym_equal. exact zenon_H358.
% 8.61/8.85 apply (zenon_notand_s _ _ zenon_H384); [ zenon_intro zenon_H385 | zenon_intro zenon_H382 ].
% 8.61/8.85 elim (classic ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H343 | zenon_intro zenon_H344 ].
% 8.61/8.85 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) = ((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))).
% 8.61/8.85 intro zenon_D_pnotp.
% 8.61/8.85 apply zenon_H385.
% 8.61/8.85 rewrite <- zenon_D_pnotp.
% 8.61/8.85 exact zenon_H343.
% 8.61/8.85 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 8.61/8.85 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H386].
% 8.61/8.85 congruence.
% 8.61/8.85 cut (((op (e2) (e0)) = (e3)) = ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (e3))).
% 8.61/8.85 intro zenon_D_pnotp.
% 8.61/8.85 apply zenon_H386.
% 8.61/8.85 rewrite <- zenon_D_pnotp.
% 8.61/8.85 exact zenon_H27e.
% 8.61/8.85 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.61/8.85 cut (((op (e2) (e0)) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H387].
% 8.61/8.85 congruence.
% 8.61/8.85 elim (classic ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H343 | zenon_intro zenon_H344 ].
% 8.61/8.85 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) = ((op (e2) (e0)) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))).
% 8.61/8.85 intro zenon_D_pnotp.
% 8.61/8.85 apply zenon_H387.
% 8.61/8.85 rewrite <- zenon_D_pnotp.
% 8.61/8.85 exact zenon_H343.
% 8.61/8.85 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 8.61/8.85 cut (((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H388].
% 8.61/8.85 congruence.
% 8.61/8.85 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H383].
% 8.61/8.85 congruence.
% 8.61/8.85 cut (((op (e0) (e1)) = (e2)) = ((op (op (e1) (e1)) (e1)) = (e2))).
% 8.61/8.85 intro zenon_D_pnotp.
% 8.61/8.85 apply zenon_H383.
% 8.61/8.85 rewrite <- zenon_D_pnotp.
% 8.61/8.85 exact zenon_Hcb.
% 8.61/8.85 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 8.61/8.85 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H375].
% 8.61/8.85 congruence.
% 8.61/8.85 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H33d | zenon_intro zenon_H33e ].
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))).
% 8.61/8.85 intro zenon_D_pnotp.
% 8.61/8.85 apply zenon_H375.
% 8.61/8.85 rewrite <- zenon_D_pnotp.
% 8.61/8.85 exact zenon_H33d.
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 8.61/8.85 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 8.61/8.85 congruence.
% 8.61/8.85 apply (zenon_L658_); trivial.
% 8.61/8.85 apply zenon_H33e. apply refl_equal.
% 8.61/8.85 apply zenon_H33e. apply refl_equal.
% 8.61/8.85 apply zenon_H4b. apply refl_equal.
% 8.61/8.85 exact (zenon_H35b zenon_H358).
% 8.61/8.85 apply zenon_H344. apply refl_equal.
% 8.61/8.85 apply zenon_H344. apply refl_equal.
% 8.61/8.85 apply zenon_H58. apply refl_equal.
% 8.61/8.85 apply zenon_H344. apply refl_equal.
% 8.61/8.85 apply zenon_H344. apply refl_equal.
% 8.61/8.85 apply (zenon_L712_); trivial.
% 8.61/8.85 (* end of lemma zenon_L713_ *)
% 8.61/8.85 assert (zenon_L714_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_Hcc zenon_H6c zenon_H1b1 zenon_H1dd.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H1d | zenon_intro zenon_H2e3 ].
% 8.61/8.85 apply (zenon_L1_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H6b | zenon_intro zenon_H2e4 ].
% 8.61/8.85 apply (zenon_L534_); trivial.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_Hcb | zenon_intro zenon_H274 ].
% 8.61/8.85 apply (zenon_L45_); trivial.
% 8.61/8.85 apply (zenon_L557_); trivial.
% 8.61/8.85 (* end of lemma zenon_L714_ *)
% 8.61/8.85 assert (zenon_L715_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.61/8.85 do 0 intro. intros zenon_H389 zenon_Hcb zenon_H27e zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.61/8.85 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H358 | zenon_intro zenon_H38a ].
% 8.71/8.86 apply (zenon_L713_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H2a | zenon_intro zenon_H38b ].
% 8.71/8.86 apply (zenon_L307_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_Hcc | zenon_intro zenon_Ha2 ].
% 8.71/8.86 apply (zenon_L714_); trivial.
% 8.71/8.86 apply (zenon_L559_); trivial.
% 8.71/8.86 (* end of lemma zenon_L715_ *)
% 8.71/8.86 assert (zenon_L716_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H282 zenon_H137 zenon_H192 zenon_H145 zenon_Hb0 zenon_H389 zenon_Hcb zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H143 | zenon_intro zenon_H283 ].
% 8.71/8.86 apply (zenon_L673_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H284 ].
% 8.71/8.86 apply (zenon_L157_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H27e ].
% 8.71/8.86 apply (zenon_L84_); trivial.
% 8.71/8.86 apply (zenon_L715_); trivial.
% 8.71/8.86 (* end of lemma zenon_L716_ *)
% 8.71/8.86 assert (zenon_L717_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H10c zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H1dd zenon_H2c9 zenon_H389 zenon_H145 zenon_H192 zenon_H137 zenon_H282 zenon_Hcb zenon_H6c zenon_H7d zenon_H29 zenon_H3c zenon_H109.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.71/8.86 apply (zenon_L716_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.71/8.86 apply (zenon_L45_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.71/8.86 apply (zenon_L161_); trivial.
% 8.71/8.86 apply (zenon_L63_); trivial.
% 8.71/8.86 (* end of lemma zenon_L717_ *)
% 8.71/8.86 assert (zenon_L718_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H11e zenon_H78 zenon_H109 zenon_H29 zenon_H7d zenon_H6c zenon_H282 zenon_H137 zenon_H192 zenon_H145 zenon_H389 zenon_H2c9 zenon_H1dd zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3 zenon_H10c zenon_H118 zenon_H3c zenon_Hff.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.71/8.86 apply (zenon_L21_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.71/8.86 apply (zenon_L717_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.71/8.86 apply (zenon_L70_); trivial.
% 8.71/8.86 apply (zenon_L59_); trivial.
% 8.71/8.86 (* end of lemma zenon_L718_ *)
% 8.71/8.86 assert (zenon_L719_ : (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_Ha8 zenon_H1b1 zenon_H1d8.
% 8.71/8.86 cut (((op (e3) (e1)) = (e3)) = ((e2) = (e3))).
% 8.71/8.86 intro zenon_D_pnotp.
% 8.71/8.86 apply zenon_Ha8.
% 8.71/8.86 rewrite <- zenon_D_pnotp.
% 8.71/8.86 exact zenon_H1b1.
% 8.71/8.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.71/8.86 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 8.71/8.86 congruence.
% 8.71/8.86 exact (zenon_H38c zenon_H1d8).
% 8.71/8.86 apply zenon_H58. apply refl_equal.
% 8.71/8.86 (* end of lemma zenon_L719_ *)
% 8.71/8.86 assert (zenon_L720_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H2c0 zenon_H7d zenon_H6b zenon_H29 zenon_H41 zenon_H3c zenon_H197 zenon_Ha8 zenon_H1b1.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.71/8.86 apply (zenon_L656_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.71/8.86 apply (zenon_L85_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.71/8.86 apply (zenon_L191_); trivial.
% 8.71/8.86 apply (zenon_L719_); trivial.
% 8.71/8.86 (* end of lemma zenon_L720_ *)
% 8.71/8.86 assert (zenon_L721_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H36a zenon_Ha3 zenon_Hc9 zenon_H169 zenon_H1b1 zenon_H4c zenon_H3c zenon_Ha8.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.86 apply (zenon_L674_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.86 apply (zenon_L432_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.86 apply (zenon_L342_); trivial.
% 8.71/8.86 apply (zenon_L368_); trivial.
% 8.71/8.86 (* end of lemma zenon_L721_ *)
% 8.71/8.86 assert (zenon_L722_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H65 zenon_He7 zenon_H3c.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.71/8.86 apply (zenon_L55_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.71/8.86 apply (zenon_L719_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.71/8.86 apply (zenon_L295_); trivial.
% 8.71/8.86 apply (zenon_L52_); trivial.
% 8.71/8.86 (* end of lemma zenon_L722_ *)
% 8.71/8.86 assert (zenon_L723_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_Hf9 zenon_H3c zenon_He7 zenon_H65 zenon_Ha8 zenon_H7d zenon_H322 zenon_Ha3 zenon_H29 zenon_H2d2 zenon_H59 zenon_H1b1.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.71/8.86 apply (zenon_L722_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.71/8.86 apply (zenon_L553_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.71/8.86 apply (zenon_L466_); trivial.
% 8.71/8.86 apply (zenon_L479_); trivial.
% 8.71/8.86 (* end of lemma zenon_L723_ *)
% 8.71/8.86 assert (zenon_L724_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H303 zenon_H66 zenon_H137 zenon_H1dd zenon_H1b1 zenon_H6c zenon_Hcc zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H3b zenon_H7d zenon_H109 zenon_H35.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.71/8.86 apply (zenon_L250_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.71/8.86 apply (zenon_L714_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.71/8.86 apply (zenon_L396_); trivial.
% 8.71/8.86 apply (zenon_L106_); trivial.
% 8.71/8.86 (* end of lemma zenon_L724_ *)
% 8.71/8.86 assert (zenon_L725_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H2c0 zenon_H6b zenon_H35 zenon_H109 zenon_H7d zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H137 zenon_H66 zenon_H303 zenon_H3b zenon_H1f6 zenon_Ha8 zenon_H1b1.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.71/8.86 apply (zenon_L656_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.71/8.86 apply (zenon_L724_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.71/8.86 apply (zenon_L198_); trivial.
% 8.71/8.86 apply (zenon_L719_); trivial.
% 8.71/8.86 (* end of lemma zenon_L725_ *)
% 8.71/8.86 assert (zenon_L726_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H282 zenon_H10f zenon_H12b zenon_He7 zenon_H195 zenon_He4 zenon_Hfe zenon_H16d zenon_H35 zenon_Hed zenon_Hf1 zenon_H27f zenon_Hcb zenon_H358.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H143 | zenon_intro zenon_H283 ].
% 8.71/8.86 apply (zenon_L253_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H284 ].
% 8.71/8.86 apply (zenon_L680_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H27e ].
% 8.71/8.86 apply (zenon_L435_); trivial.
% 8.71/8.86 apply (zenon_L713_); trivial.
% 8.71/8.86 (* end of lemma zenon_L726_ *)
% 8.71/8.86 assert (zenon_L727_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H329 zenon_H358 zenon_Hcb zenon_H27f zenon_Hf1 zenon_Hed zenon_H16d zenon_He7 zenon_H12b zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.71/8.86 apply (zenon_L726_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.71/8.86 apply (zenon_L584_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.71/8.86 apply (zenon_L368_); trivial.
% 8.71/8.86 apply (zenon_L687_); trivial.
% 8.71/8.86 (* end of lemma zenon_L727_ *)
% 8.71/8.86 assert (zenon_L728_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H322 zenon_Ha8 zenon_H7d zenon_H282 zenon_H12b zenon_He7 zenon_H16d zenon_Hed zenon_H27f zenon_Hcb zenon_H358 zenon_H329 zenon_H66 zenon_H87 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.71/8.86 apply (zenon_L727_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.71/8.86 apply (zenon_L437_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.71/8.86 apply (zenon_L513_); trivial.
% 8.71/8.86 apply (zenon_L687_); trivial.
% 8.71/8.86 (* end of lemma zenon_L728_ *)
% 8.71/8.86 assert (zenon_L729_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H282 zenon_H165 zenon_H192 zenon_Hd4 zenon_Hfe zenon_H145 zenon_Hb0 zenon_H389 zenon_Hcb zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H143 | zenon_intro zenon_H283 ].
% 8.71/8.86 apply (zenon_L249_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H284 ].
% 8.71/8.86 apply (zenon_L68_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H27e ].
% 8.71/8.86 apply (zenon_L84_); trivial.
% 8.71/8.86 apply (zenon_L715_); trivial.
% 8.71/8.86 (* end of lemma zenon_L729_ *)
% 8.71/8.86 assert (zenon_L730_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H329 zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_Hcb zenon_H389 zenon_Hb0 zenon_H145 zenon_H192 zenon_H165 zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd4 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.71/8.86 apply (zenon_L729_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.71/8.86 apply (zenon_L584_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.71/8.86 apply (zenon_L368_); trivial.
% 8.71/8.86 apply (zenon_L691_); trivial.
% 8.71/8.86 (* end of lemma zenon_L730_ *)
% 8.71/8.86 assert (zenon_L731_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H36a zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H2c9 zenon_H389 zenon_Ha3 zenon_H15a zenon_H322 zenon_Ha8 zenon_H7d zenon_H282 zenon_H12b zenon_He7 zenon_H16d zenon_Hed zenon_H27f zenon_Hcb zenon_H358 zenon_H329 zenon_H66 zenon_H87 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.86 apply (zenon_L715_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.86 apply (zenon_L395_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.86 apply (zenon_L346_); trivial.
% 8.71/8.86 apply (zenon_L728_); trivial.
% 8.71/8.86 (* end of lemma zenon_L731_ *)
% 8.71/8.86 assert (zenon_L732_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H285 zenon_H137 zenon_H192 zenon_H145 zenon_Hb0 zenon_H67 zenon_H31 zenon_H11f zenon_H78 zenon_H36a zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H2c9 zenon_H389 zenon_Ha3 zenon_H15a zenon_H322 zenon_Ha8 zenon_H7d zenon_H282 zenon_H12b zenon_He7 zenon_H16d zenon_Hed zenon_H27f zenon_Hcb zenon_H358 zenon_H329 zenon_H66 zenon_H87 zenon_H3b zenon_H9a zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.71/8.86 apply (zenon_L673_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.86 apply (zenon_L715_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.86 apply (zenon_L395_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.86 apply (zenon_L346_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.71/8.86 apply (zenon_L4_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.71/8.86 apply (zenon_L263_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.71/8.86 apply (zenon_L728_); trivial.
% 8.71/8.86 apply (zenon_L730_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.71/8.86 apply (zenon_L40_); trivial.
% 8.71/8.86 apply (zenon_L731_); trivial.
% 8.71/8.86 (* end of lemma zenon_L732_ *)
% 8.71/8.86 assert (zenon_L733_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H29 zenon_Ha7 zenon_Ha3.
% 8.71/8.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H58 ].
% 8.71/8.86 cut (((e3) = (e3)) = ((e1) = (e3))).
% 8.71/8.86 intro zenon_D_pnotp.
% 8.71/8.86 apply zenon_Ha3.
% 8.71/8.86 rewrite <- zenon_D_pnotp.
% 8.71/8.86 exact zenon_Ha4.
% 8.71/8.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 8.71/8.86 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 8.71/8.86 congruence.
% 8.71/8.86 cut (((op (e1) (e2)) = (e1)) = ((e3) = (e1))).
% 8.71/8.86 intro zenon_D_pnotp.
% 8.71/8.86 apply zenon_Ha5.
% 8.71/8.86 rewrite <- zenon_D_pnotp.
% 8.71/8.86 exact zenon_H29.
% 8.71/8.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 8.71/8.86 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 8.71/8.86 congruence.
% 8.71/8.86 exact (zenon_Haa zenon_Ha7).
% 8.71/8.86 apply zenon_H40. apply refl_equal.
% 8.71/8.86 apply zenon_H58. apply refl_equal.
% 8.71/8.86 apply zenon_H58. apply refl_equal.
% 8.71/8.86 (* end of lemma zenon_L733_ *)
% 8.71/8.86 assert (zenon_L734_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H300 zenon_H25 zenon_H1e zenon_Hf6 zenon_H29f zenon_H90 zenon_H3b zenon_H134 zenon_Ha7.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H24 | zenon_intro zenon_H301 ].
% 8.71/8.86 apply (zenon_L2_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H71 | zenon_intro zenon_H302 ].
% 8.71/8.86 apply (zenon_L266_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7e | zenon_intro zenon_H276 ].
% 8.71/8.86 apply (zenon_L565_); trivial.
% 8.71/8.86 apply (zenon_L560_); trivial.
% 8.71/8.86 (* end of lemma zenon_L734_ *)
% 8.71/8.86 assert (zenon_L735_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H2df zenon_H66 zenon_Ha3 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134 zenon_Ha7.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.71/8.86 apply (zenon_L19_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.71/8.86 apply (zenon_L733_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.71/8.86 apply (zenon_L396_); trivial.
% 8.71/8.86 apply (zenon_L734_); trivial.
% 8.71/8.86 (* end of lemma zenon_L735_ *)
% 8.71/8.86 assert (zenon_L736_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (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 (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_Hba zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_H9a zenon_H329 zenon_H358 zenon_Hcb zenon_H27f zenon_Hed zenon_H16d zenon_He7 zenon_H12b zenon_H282 zenon_Ha8 zenon_H322 zenon_H15a zenon_H389 zenon_H2c9 zenon_H1dd zenon_H6c zenon_H164 zenon_H1f zenon_H2e2 zenon_H36a zenon_H78 zenon_H11f zenon_H31 zenon_H67 zenon_Hb0 zenon_H145 zenon_H192 zenon_H137 zenon_H285 zenon_Hf3 zenon_H1b1 zenon_H134 zenon_H3b zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_H7d zenon_H66 zenon_H2df zenon_H35 zenon_Ha3.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbb ].
% 8.71/8.86 apply (zenon_L732_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbc ].
% 8.71/8.86 apply (zenon_L559_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb3 ].
% 8.71/8.86 apply (zenon_L735_); trivial.
% 8.71/8.86 apply (zenon_L124_); trivial.
% 8.71/8.86 (* end of lemma zenon_L736_ *)
% 8.71/8.86 assert (zenon_L737_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H336 zenon_H1f6 zenon_H303 zenon_H109 zenon_H2c0 zenon_H36 zenon_H35 zenon_H2df zenon_H66 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134 zenon_Hf3 zenon_H285 zenon_H137 zenon_H192 zenon_H145 zenon_Hb0 zenon_H67 zenon_H31 zenon_H11f zenon_H78 zenon_H36a zenon_H2e2 zenon_H1f zenon_H164 zenon_H6c zenon_H1dd zenon_H2c9 zenon_H389 zenon_H322 zenon_Ha8 zenon_H282 zenon_H12b zenon_He7 zenon_H16d zenon_Hed zenon_H27f zenon_Hcb zenon_H358 zenon_H329 zenon_H9a zenon_H105 zenon_Hd0 zenon_He4 zenon_Hff zenon_Hba zenon_Ha3 zenon_H1b1.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.86 apply (zenon_L725_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.86 apply (zenon_L5_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.86 apply (zenon_L736_); trivial.
% 8.71/8.86 apply (zenon_L553_); trivial.
% 8.71/8.86 (* end of lemma zenon_L737_ *)
% 8.71/8.86 assert (zenon_L738_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H2c0 zenon_H6b zenon_H35 zenon_H109 zenon_H7d zenon_H3b zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H137 zenon_H66 zenon_H303 zenon_H165 zenon_H78 zenon_Ha8 zenon_H1b1.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.71/8.86 apply (zenon_L656_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.71/8.86 apply (zenon_L724_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.71/8.86 apply (zenon_L626_); trivial.
% 8.71/8.86 apply (zenon_L719_); trivial.
% 8.71/8.86 (* end of lemma zenon_L738_ *)
% 8.71/8.86 assert (zenon_L739_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H2c0 zenon_Hf3 zenon_H2c9 zenon_H27e zenon_H389 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H165 zenon_H78 zenon_Ha8 zenon_H1b1.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.71/8.86 apply (zenon_L715_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.71/8.86 apply (zenon_L714_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.71/8.86 apply (zenon_L626_); trivial.
% 8.71/8.86 apply (zenon_L719_); trivial.
% 8.71/8.86 (* end of lemma zenon_L739_ *)
% 8.71/8.86 assert (zenon_L740_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H303 zenon_Ha3 zenon_H27e zenon_H164 zenon_H6b zenon_H3b zenon_H7d zenon_H109 zenon_H35.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.71/8.86 apply (zenon_L674_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.71/8.86 apply (zenon_L534_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.71/8.86 apply (zenon_L396_); trivial.
% 8.71/8.86 apply (zenon_L106_); trivial.
% 8.71/8.86 (* end of lemma zenon_L740_ *)
% 8.71/8.86 assert (zenon_L741_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((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)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H336 zenon_H109 zenon_H303 zenon_H36 zenon_H35 zenon_H1b1 zenon_Ha8 zenon_H78 zenon_H165 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H389 zenon_H27e zenon_H2c9 zenon_Hf3 zenon_H2c0 zenon_H2df zenon_Ha3 zenon_H276 zenon_Had zenon_H67 zenon_H3b zenon_H7d zenon_H1d9.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.86 apply (zenon_L740_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.86 apply (zenon_L5_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.86 apply (zenon_L739_); trivial.
% 8.71/8.86 apply (zenon_L616_); trivial.
% 8.71/8.86 (* end of lemma zenon_L741_ *)
% 8.71/8.86 assert (zenon_L742_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H36a zenon_H1d9 zenon_H7d zenon_H67 zenon_Had zenon_H276 zenon_Ha3 zenon_H2df zenon_H2c0 zenon_Hf3 zenon_H2c9 zenon_H389 zenon_H1dd zenon_H6c zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H165 zenon_H78 zenon_H36 zenon_H303 zenon_H109 zenon_H336 zenon_H169 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_Hed zenon_Hc9 zenon_H35 zenon_H16d zenon_Hfe zenon_He4 zenon_He7.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.86 apply (zenon_L741_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.86 apply (zenon_L432_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.86 apply (zenon_L346_); trivial.
% 8.71/8.86 apply (zenon_L680_); trivial.
% 8.71/8.86 (* end of lemma zenon_L742_ *)
% 8.71/8.86 assert (zenon_L743_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((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)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_He7 zenon_He4 zenon_Hfe zenon_H16d zenon_Hed zenon_Ha8 zenon_H169 zenon_H336 zenon_H303 zenon_H36 zenon_H78 zenon_H165 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H2c0 zenon_H2df zenon_Ha3 zenon_H276 zenon_Had zenon_H67 zenon_H1d9 zenon_H36a zenon_H1dd zenon_H1b1 zenon_H6c zenon_Hcc zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H3b zenon_H7d zenon_H109 zenon_H35.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.71/8.86 apply (zenon_L742_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.71/8.86 apply (zenon_L714_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.71/8.86 apply (zenon_L396_); trivial.
% 8.71/8.86 apply (zenon_L106_); trivial.
% 8.71/8.86 (* end of lemma zenon_L743_ *)
% 8.71/8.86 assert (zenon_L744_ : ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (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)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.71/8.86 do 0 intro. intros zenon_Hcb zenon_H27f zenon_Hf1 zenon_H195 zenon_H12b zenon_H10f zenon_H282 zenon_H15a zenon_H35 zenon_H109 zenon_H7d zenon_H3b zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H36a zenon_H1d9 zenon_H67 zenon_Had zenon_H276 zenon_Ha3 zenon_H2df zenon_H2c0 zenon_H2c9 zenon_H389 zenon_H165 zenon_H78 zenon_H36 zenon_H303 zenon_H336 zenon_H169 zenon_Ha8 zenon_Hed zenon_H16d zenon_Hfe zenon_He4 zenon_He7 zenon_H1b1 zenon_Hf3.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H358 | zenon_intro zenon_H38a ].
% 8.71/8.86 apply (zenon_L726_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H2a | zenon_intro zenon_H38b ].
% 8.71/8.86 apply (zenon_L307_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_Hcc | zenon_intro zenon_Ha2 ].
% 8.71/8.86 apply (zenon_L743_); trivial.
% 8.71/8.86 apply (zenon_L559_); trivial.
% 8.71/8.86 (* end of lemma zenon_L744_ *)
% 8.71/8.86 assert (zenon_L745_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((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)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H322 zenon_Hf3 zenon_He7 zenon_Hfe zenon_H16d zenon_Hed zenon_H169 zenon_H336 zenon_H303 zenon_H36 zenon_H78 zenon_H165 zenon_H389 zenon_H2c9 zenon_H2c0 zenon_H2df zenon_Ha3 zenon_H276 zenon_Had zenon_H67 zenon_H1d9 zenon_H36a zenon_H1dd zenon_H6c zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H7d zenon_H109 zenon_H15a zenon_H282 zenon_H12b zenon_H27f zenon_Hcb zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.71/8.86 apply (zenon_L744_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.71/8.86 apply (zenon_L719_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.71/8.86 apply (zenon_L513_); trivial.
% 8.71/8.86 apply (zenon_L687_); trivial.
% 8.71/8.86 (* end of lemma zenon_L745_ *)
% 8.71/8.86 assert (zenon_L746_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (e2) (e1)) = (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 (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((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)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.71/8.86 do 0 intro. intros zenon_H11f zenon_H31 zenon_H78 zenon_H322 zenon_He7 zenon_H16d zenon_Hed zenon_H169 zenon_H336 zenon_H303 zenon_H36 zenon_H2c0 zenon_H2df zenon_Ha3 zenon_H276 zenon_Had zenon_H67 zenon_H1d9 zenon_H36a zenon_H109 zenon_H12b zenon_H27f zenon_H3b zenon_H9a zenon_H329 zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_Hcb zenon_H389 zenon_Hb0 zenon_H145 zenon_H192 zenon_H165 zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.71/8.86 apply (zenon_L4_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.71/8.86 apply (zenon_L263_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.71/8.86 apply (zenon_L745_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.71/8.86 apply (zenon_L584_); trivial.
% 8.71/8.86 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.71/8.86 apply (zenon_L65_); trivial.
% 8.71/8.86 apply (zenon_L687_); trivial.
% 8.71/8.86 apply (zenon_L730_); trivial.
% 8.71/8.86 (* end of lemma zenon_L746_ *)
% 8.71/8.86 assert (zenon_L747_ : ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e1)) = (op (e3) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H66 zenon_H2e8 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H105 zenon_H7d zenon_H282 zenon_H165 zenon_H192 zenon_H145 zenon_Hb0 zenon_H389 zenon_Hcb zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3 zenon_H329 zenon_H9a zenon_H27f zenon_H12b zenon_H109 zenon_H36a zenon_H1d9 zenon_H67 zenon_Had zenon_H2df zenon_H2c0 zenon_H36 zenon_H303 zenon_H336 zenon_H169 zenon_Hed zenon_H16d zenon_He7 zenon_H322 zenon_H78 zenon_H31 zenon_H11f zenon_H134 zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_Ha8 zenon_H3b zenon_Ha3 zenon_Hf6.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L739_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L258_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.71/8.87 apply (zenon_L746_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.71/8.87 apply (zenon_L734_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_L57_); trivial.
% 8.71/8.87 (* end of lemma zenon_L747_ *)
% 8.71/8.87 assert (zenon_L748_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e1)) = (op (e3) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H137 zenon_H7d zenon_H35 zenon_H3b zenon_H94 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H66 zenon_H2e8 zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_H282 zenon_H165 zenon_H192 zenon_H145 zenon_H389 zenon_Hcb zenon_H2c9 zenon_Hf3 zenon_H329 zenon_H9a zenon_H27f zenon_H12b zenon_H109 zenon_H36a zenon_H1d9 zenon_H67 zenon_Had zenon_H2df zenon_H2c0 zenon_H36 zenon_H303 zenon_H336 zenon_H169 zenon_Hed zenon_H16d zenon_He7 zenon_H322 zenon_H78 zenon_H31 zenon_H11f zenon_H134 zenon_H90 zenon_H29f zenon_H25 zenon_H300 zenon_Ha8 zenon_H10c zenon_Ha3 zenon_H1b1.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.87 apply (zenon_L738_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.87 apply (zenon_L5_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.71/8.87 apply (zenon_L19_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.71/8.87 apply (zenon_L110_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.71/8.87 apply (zenon_L396_); trivial.
% 8.71/8.87 apply (zenon_L747_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.71/8.87 apply (zenon_L714_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.71/8.87 apply (zenon_L28_); trivial.
% 8.71/8.87 apply (zenon_L584_); trivial.
% 8.71/8.87 apply (zenon_L553_); trivial.
% 8.71/8.87 (* end of lemma zenon_L748_ *)
% 8.71/8.87 assert (zenon_L749_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H10c zenon_H78 zenon_Hac zenon_Hcb zenon_H6c zenon_H94 zenon_H3b zenon_H35 zenon_H7d.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.71/8.87 apply (zenon_L305_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.71/8.87 apply (zenon_L45_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.71/8.87 apply (zenon_L28_); trivial.
% 8.71/8.87 apply (zenon_L584_); trivial.
% 8.71/8.87 (* end of lemma zenon_L749_ *)
% 8.71/8.87 assert (zenon_L750_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H36a zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_H389 zenon_H66 zenon_Hb0 zenon_H3b zenon_H329 zenon_H358 zenon_Hcb zenon_H27f zenon_Hf1 zenon_Hed zenon_H16d zenon_He7 zenon_H12b zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L715_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L258_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_L727_); trivial.
% 8.71/8.87 (* end of lemma zenon_L750_ *)
% 8.71/8.87 assert (zenon_L751_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H10c zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_Ha8 zenon_H282 zenon_H12b zenon_He7 zenon_H16d zenon_Hed zenon_Hf1 zenon_H27f zenon_H358 zenon_H329 zenon_H66 zenon_H389 zenon_H2c9 zenon_H1dd zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3 zenon_H36a zenon_H78 zenon_H11f zenon_H31 zenon_H67 zenon_H145 zenon_H192 zenon_H137 zenon_H285 zenon_Hcb zenon_H6c zenon_H94 zenon_H3b zenon_H35 zenon_H7d.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.71/8.87 apply (zenon_L673_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L715_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L258_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.71/8.87 apply (zenon_L4_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.71/8.87 apply (zenon_L263_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.71/8.87 apply (zenon_L727_); trivial.
% 8.71/8.87 apply (zenon_L730_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.71/8.87 apply (zenon_L40_); trivial.
% 8.71/8.87 apply (zenon_L750_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.71/8.87 apply (zenon_L45_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.71/8.87 apply (zenon_L28_); trivial.
% 8.71/8.87 apply (zenon_L584_); trivial.
% 8.71/8.87 (* end of lemma zenon_L751_ *)
% 8.71/8.87 assert (zenon_L752_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H336 zenon_H36 zenon_H7d zenon_H35 zenon_H3b zenon_H94 zenon_H6c zenon_Hcb zenon_H285 zenon_H137 zenon_H192 zenon_H145 zenon_H67 zenon_H31 zenon_H11f zenon_H78 zenon_H36a zenon_Hf3 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H1dd zenon_H2c9 zenon_H389 zenon_H66 zenon_H329 zenon_H358 zenon_H27f zenon_Hf1 zenon_Hed zenon_H16d zenon_He7 zenon_H12b zenon_H282 zenon_Ha8 zenon_H105 zenon_Hd0 zenon_He4 zenon_Hff zenon_H10c zenon_Ha3 zenon_H1b1.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.87 apply (zenon_L656_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.87 apply (zenon_L5_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.87 apply (zenon_L751_); trivial.
% 8.71/8.87 apply (zenon_L553_); trivial.
% 8.71/8.87 (* end of lemma zenon_L752_ *)
% 8.71/8.87 assert (zenon_L753_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H36a zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_H389 zenon_H66 zenon_Hb0 zenon_Ha8 zenon_H3b zenon_H282 zenon_H10f zenon_H12b zenon_He7 zenon_He4 zenon_Hfe zenon_H16d zenon_H35 zenon_Hed zenon_Hf1 zenon_H27f zenon_Hcb zenon_H358.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L715_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L258_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_L726_); trivial.
% 8.71/8.87 (* end of lemma zenon_L753_ *)
% 8.71/8.87 assert (zenon_L754_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H322 zenon_H358 zenon_Hcb zenon_H27f zenon_Hed zenon_H16d zenon_Hfe zenon_He7 zenon_H12b zenon_H282 zenon_Hb0 zenon_H66 zenon_H389 zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_Hf3 zenon_H36a zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.71/8.87 apply (zenon_L753_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.71/8.87 apply (zenon_L719_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.71/8.87 apply (zenon_L513_); trivial.
% 8.71/8.87 apply (zenon_L687_); trivial.
% 8.71/8.87 (* end of lemma zenon_L754_ *)
% 8.71/8.87 assert (zenon_L755_ : (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.87 do 0 intro. intros zenon_Ha3 zenon_H322 zenon_H358 zenon_Hcb zenon_H27f zenon_Hed zenon_H16d zenon_Hfe zenon_He7 zenon_H12b zenon_H282 zenon_Hb0 zenon_H66 zenon_H389 zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_Hf3 zenon_H36a zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L713_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L395_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_L754_); trivial.
% 8.71/8.87 (* end of lemma zenon_L755_ *)
% 8.71/8.87 assert (zenon_L756_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H285 zenon_H137 zenon_H7d zenon_H192 zenon_H145 zenon_H329 zenon_H67 zenon_H31 zenon_H11f zenon_H78 zenon_Ha3 zenon_H322 zenon_H358 zenon_Hcb zenon_H27f zenon_Hed zenon_H16d zenon_Hfe zenon_He7 zenon_H12b zenon_H282 zenon_Hb0 zenon_H66 zenon_H389 zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_Hf3 zenon_H36a zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.71/8.87 apply (zenon_L673_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L713_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L395_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.71/8.87 apply (zenon_L4_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.71/8.87 apply (zenon_L263_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.71/8.87 apply (zenon_L754_); trivial.
% 8.71/8.87 apply (zenon_L730_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.71/8.87 apply (zenon_L40_); trivial.
% 8.71/8.87 apply (zenon_L755_); trivial.
% 8.71/8.87 (* end of lemma zenon_L756_ *)
% 8.71/8.87 assert (zenon_L757_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H336 zenon_H1f6 zenon_H303 zenon_H109 zenon_H36 zenon_Ha8 zenon_H7d zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H285 zenon_H137 zenon_H192 zenon_H145 zenon_H329 zenon_H67 zenon_H31 zenon_H11f zenon_H78 zenon_H322 zenon_H358 zenon_H27f zenon_Hed zenon_H16d zenon_Hfe zenon_He7 zenon_H12b zenon_H282 zenon_Hb0 zenon_H66 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H36a zenon_H3b zenon_H9a zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H2c0 zenon_Ha3 zenon_H1b1.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.87 apply (zenon_L725_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.87 apply (zenon_L5_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.71/8.87 apply (zenon_L756_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.71/8.87 apply (zenon_L714_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.71/8.87 apply (zenon_L149_); trivial.
% 8.71/8.87 apply (zenon_L719_); trivial.
% 8.71/8.87 apply (zenon_L553_); trivial.
% 8.71/8.87 (* end of lemma zenon_L757_ *)
% 8.71/8.87 assert (zenon_L758_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e1)) = (op (e3) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H11f zenon_H195 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H105 zenon_H9a zenon_H3b zenon_Ha8 zenon_H27f zenon_H12b zenon_H109 zenon_H7d zenon_H36a zenon_H1d9 zenon_H67 zenon_Had zenon_H276 zenon_Ha3 zenon_H2df zenon_H2c0 zenon_H78 zenon_H36 zenon_H303 zenon_H336 zenon_H169 zenon_Hed zenon_H16d zenon_He7 zenon_H322 zenon_H282 zenon_H165 zenon_H192 zenon_Hfe zenon_H145 zenon_Hb0 zenon_H389 zenon_Hcb zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.71/8.87 apply (zenon_L394_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.71/8.87 apply (zenon_L263_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.71/8.87 apply (zenon_L745_); trivial.
% 8.71/8.87 apply (zenon_L729_); trivial.
% 8.71/8.87 (* end of lemma zenon_L758_ *)
% 8.71/8.87 assert (zenon_L759_ : (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e1)) = (op (e3) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_Ha3 zenon_H3b zenon_H300 zenon_H25 zenon_H29f zenon_H90 zenon_H134 zenon_H11f zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H105 zenon_H9a zenon_H27f zenon_H12b zenon_H109 zenon_H36a zenon_H1d9 zenon_H67 zenon_Had zenon_H2df zenon_H2c0 zenon_H78 zenon_H36 zenon_H303 zenon_H336 zenon_H169 zenon_Hed zenon_H16d zenon_He7 zenon_H322 zenon_H282 zenon_H165 zenon_H192 zenon_Hfe zenon_H145 zenon_Hb0 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H2e8 zenon_H66 zenon_H1dd zenon_H6c zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H15a zenon_H7d zenon_Ha8 zenon_H1b1.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.71/8.87 apply (zenon_L19_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.71/8.87 apply (zenon_L110_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.71/8.87 apply (zenon_L396_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L715_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L395_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.71/8.87 apply (zenon_L758_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.71/8.87 apply (zenon_L734_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_L57_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.71/8.87 apply (zenon_L714_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.71/8.87 apply (zenon_L149_); trivial.
% 8.71/8.87 apply (zenon_L719_); trivial.
% 8.71/8.87 (* end of lemma zenon_L759_ *)
% 8.71/8.87 assert (zenon_L760_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (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) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (e2) (e1)) = (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H35d zenon_H1b1 zenon_Hc2 zenon_H137 zenon_Ha8 zenon_H7d zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H66 zenon_H2e8 zenon_Hf3 zenon_H2c9 zenon_H389 zenon_Hb0 zenon_H145 zenon_Hfe zenon_H192 zenon_H282 zenon_H322 zenon_He7 zenon_H16d zenon_Hed zenon_H169 zenon_H336 zenon_H303 zenon_H36 zenon_H78 zenon_H2c0 zenon_H2df zenon_H1d9 zenon_H36a zenon_H109 zenon_H12b zenon_H27f zenon_H9a zenon_H105 zenon_Hd0 zenon_He4 zenon_Hff zenon_H11f zenon_H134 zenon_H90 zenon_H29f zenon_H25 zenon_H300 zenon_H3b zenon_Ha3 zenon_H1f6 zenon_H285 zenon_H329 zenon_H31 zenon_H35e zenon_H67 zenon_H35.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.71/8.87 apply (zenon_L305_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.71/8.87 apply (zenon_L757_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.71/8.87 apply (zenon_L1_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.71/8.87 apply (zenon_L757_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.87 apply (zenon_L738_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.87 apply (zenon_L5_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.87 apply (zenon_L759_); trivial.
% 8.71/8.87 apply (zenon_L553_); trivial.
% 8.71/8.87 apply (zenon_L685_); trivial.
% 8.71/8.87 apply (zenon_L263_); trivial.
% 8.71/8.87 (* end of lemma zenon_L760_ *)
% 8.71/8.87 assert (zenon_L761_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H285 zenon_H137 zenon_H145 zenon_H192 zenon_H67 zenon_H31 zenon_H11f zenon_H78 zenon_H36a zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_H389 zenon_H66 zenon_Hb0 zenon_Ha8 zenon_H3b zenon_H282 zenon_H12b zenon_He7 zenon_He4 zenon_Hfe zenon_H16d zenon_H35 zenon_Hed zenon_Hf1 zenon_H27f zenon_Hcb zenon_H358.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.71/8.87 apply (zenon_L673_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L715_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L258_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.71/8.87 apply (zenon_L4_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.71/8.87 apply (zenon_L263_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.71/8.87 apply (zenon_L726_); trivial.
% 8.71/8.87 apply (zenon_L729_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.71/8.87 apply (zenon_L40_); trivial.
% 8.71/8.87 apply (zenon_L753_); trivial.
% 8.71/8.87 (* end of lemma zenon_L761_ *)
% 8.71/8.87 assert (zenon_L762_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (((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)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H336 zenon_H2aa zenon_H36 zenon_H7d zenon_H35 zenon_H3b zenon_H94 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H2c0 zenon_H358 zenon_H27f zenon_Hf1 zenon_Hed zenon_H16d zenon_Hfe zenon_He4 zenon_He7 zenon_H12b zenon_H282 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H36a zenon_H78 zenon_H11f zenon_H31 zenon_H67 zenon_H192 zenon_H145 zenon_H285 zenon_H109 zenon_H137 zenon_H66 zenon_H303 zenon_Ha8 zenon_H10c zenon_Ha3 zenon_H1b1.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.87 apply (zenon_L527_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.87 apply (zenon_L5_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.71/8.87 apply (zenon_L761_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.71/8.87 apply (zenon_L724_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.71/8.87 apply (zenon_L149_); trivial.
% 8.71/8.87 apply (zenon_L719_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.71/8.87 apply (zenon_L714_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.71/8.87 apply (zenon_L28_); trivial.
% 8.71/8.87 apply (zenon_L584_); trivial.
% 8.71/8.87 apply (zenon_L553_); trivial.
% 8.71/8.87 (* end of lemma zenon_L762_ *)
% 8.71/8.87 assert (zenon_L763_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H336 zenon_Ha8 zenon_H165 zenon_H303 zenon_H66 zenon_H137 zenon_H7d zenon_H109 zenon_H2c0 zenon_H36 zenon_H35 zenon_Hfe zenon_Hd0 zenon_H3b zenon_H94 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_Hac zenon_H78 zenon_H10c zenon_Ha3 zenon_H1b1.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.87 apply (zenon_L738_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.87 apply (zenon_L5_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.71/8.87 apply (zenon_L305_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.71/8.87 apply (zenon_L714_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.71/8.87 apply (zenon_L28_); trivial.
% 8.71/8.87 apply (zenon_L88_); trivial.
% 8.71/8.87 apply (zenon_L553_); trivial.
% 8.71/8.87 (* end of lemma zenon_L763_ *)
% 8.71/8.87 assert (zenon_L764_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((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 (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H35e zenon_H12e zenon_H285 zenon_H145 zenon_H192 zenon_H67 zenon_H31 zenon_H11f zenon_H36a zenon_Hf3 zenon_H2c9 zenon_H389 zenon_H282 zenon_H12b zenon_He7 zenon_He4 zenon_H16d zenon_Hed zenon_Hf1 zenon_H27f zenon_H2aa zenon_Ha3 zenon_H10c zenon_H78 zenon_Hac zenon_H1dd zenon_H6c zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H94 zenon_H3b zenon_Hd0 zenon_Hfe zenon_H35 zenon_H36 zenon_H2c0 zenon_H109 zenon_H7d zenon_H137 zenon_H66 zenon_H303 zenon_Ha8 zenon_H336 zenon_Hc2 zenon_H1b1.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.71/8.87 apply (zenon_L76_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.71/8.87 apply (zenon_L762_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.71/8.87 apply (zenon_L763_); trivial.
% 8.71/8.87 apply (zenon_L685_); trivial.
% 8.71/8.87 (* end of lemma zenon_L764_ *)
% 8.71/8.87 assert (zenon_L765_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H336 zenon_H2aa zenon_H36 zenon_H35 zenon_H192 zenon_Hc9 zenon_Ha3 zenon_H1b1.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.71/8.87 apply (zenon_L527_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.71/8.87 apply (zenon_L5_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.71/8.87 apply (zenon_L157_); trivial.
% 8.71/8.87 apply (zenon_L553_); trivial.
% 8.71/8.87 (* end of lemma zenon_L765_ *)
% 8.71/8.87 assert (zenon_L766_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.71/8.87 apply (zenon_L55_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.71/8.87 apply (zenon_L719_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.71/8.87 apply (zenon_L513_); trivial.
% 8.71/8.87 apply (zenon_L687_); trivial.
% 8.71/8.87 (* end of lemma zenon_L766_ *)
% 8.71/8.87 assert (zenon_L767_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H36a zenon_H78 zenon_H2c0 zenon_Ha3 zenon_H11f zenon_H31 zenon_H67 zenon_H9a zenon_H3b zenon_Hf0 zenon_H322 zenon_H329 zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_Hcb zenon_H389 zenon_Hb0 zenon_H145 zenon_H192 zenon_H165 zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L739_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L395_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.71/8.87 apply (zenon_L4_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.71/8.87 apply (zenon_L263_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.71/8.87 apply (zenon_L766_); trivial.
% 8.71/8.87 apply (zenon_L730_); trivial.
% 8.71/8.87 (* end of lemma zenon_L767_ *)
% 8.71/8.87 assert (zenon_L768_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.71/8.87 do 0 intro. intros zenon_H36a zenon_H358 zenon_Hcb zenon_Ha3 zenon_H15a zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.71/8.87 apply (zenon_L713_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.71/8.87 apply (zenon_L395_); trivial.
% 8.71/8.87 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.71/8.87 apply (zenon_L346_); trivial.
% 8.71/8.87 apply (zenon_L766_); trivial.
% 8.71/8.87 (* end of lemma zenon_L768_ *)
% 8.71/8.87 assert (zenon_L769_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H285 zenon_H137 zenon_H282 zenon_H192 zenon_H145 zenon_Hb0 zenon_H389 zenon_H2c9 zenon_H1dd zenon_H6c zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_Hf3 zenon_H329 zenon_H67 zenon_H31 zenon_H11f zenon_H2c0 zenon_H78 zenon_H36a zenon_H358 zenon_Hcb zenon_Ha3 zenon_H15a zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.72/8.88 apply (zenon_L673_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.72/8.88 apply (zenon_L767_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.72/8.88 apply (zenon_L40_); trivial.
% 8.72/8.88 apply (zenon_L768_); trivial.
% 8.72/8.88 (* end of lemma zenon_L769_ *)
% 8.72/8.88 assert (zenon_L770_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H35e zenon_H285 zenon_H137 zenon_H2aa zenon_Ha3 zenon_H36a zenon_H78 zenon_H2c0 zenon_H11f zenon_H31 zenon_H67 zenon_H9a zenon_H3b zenon_Hf0 zenon_H322 zenon_H329 zenon_Hf3 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H2c9 zenon_Hcb zenon_H389 zenon_Hb0 zenon_H145 zenon_H192 zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H36 zenon_H336 zenon_Hc2 zenon_H1b1.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.72/8.88 apply (zenon_L1_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.72/8.88 apply (zenon_L527_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.72/8.88 apply (zenon_L5_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.72/8.88 apply (zenon_L769_); trivial.
% 8.72/8.88 apply (zenon_L553_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.72/8.88 apply (zenon_L656_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.72/8.88 apply (zenon_L5_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.72/8.88 apply (zenon_L767_); trivial.
% 8.72/8.88 apply (zenon_L553_); trivial.
% 8.72/8.88 apply (zenon_L685_); trivial.
% 8.72/8.88 (* end of lemma zenon_L770_ *)
% 8.72/8.88 assert (zenon_L771_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_He4 zenon_Hfe.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.72/8.88 apply (zenon_L55_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.72/8.88 apply (zenon_L719_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.72/8.88 apply (zenon_L513_); trivial.
% 8.72/8.88 apply (zenon_L679_); trivial.
% 8.72/8.88 (* end of lemma zenon_L771_ *)
% 8.72/8.88 assert (zenon_L772_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (((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)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H389 zenon_Hcb zenon_H27f zenon_Hf1 zenon_Hed zenon_H16d zenon_Hfe zenon_He4 zenon_H195 zenon_He7 zenon_H12b zenon_H10f zenon_H282 zenon_H2c9 zenon_H1dd zenon_H1b1 zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H41 zenon_H35.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H358 | zenon_intro zenon_H38a ].
% 8.72/8.88 apply (zenon_L726_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H2a | zenon_intro zenon_H38b ].
% 8.72/8.88 apply (zenon_L307_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_Hcc | zenon_intro zenon_Ha2 ].
% 8.72/8.88 apply (zenon_L714_); trivial.
% 8.72/8.88 apply (zenon_L247_); trivial.
% 8.72/8.88 (* end of lemma zenon_L772_ *)
% 8.72/8.88 assert (zenon_L773_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((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 (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H11f zenon_H31 zenon_H67 zenon_H35 zenon_H41 zenon_H12b zenon_He7 zenon_H195 zenon_He4 zenon_H16d zenon_Hed zenon_Hf1 zenon_H27f zenon_H282 zenon_H165 zenon_H192 zenon_Hfe zenon_H145 zenon_Hb0 zenon_H389 zenon_Hcb zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.72/8.88 apply (zenon_L4_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.72/8.88 apply (zenon_L263_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.72/8.88 apply (zenon_L772_); trivial.
% 8.72/8.88 apply (zenon_L729_); trivial.
% 8.72/8.88 (* end of lemma zenon_L773_ *)
% 8.72/8.88 assert (zenon_L774_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H322 zenon_Hf3 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_Hcb zenon_H389 zenon_Hb0 zenon_H145 zenon_Hfe zenon_H192 zenon_H165 zenon_H282 zenon_H27f zenon_Hed zenon_H16d zenon_He7 zenon_H12b zenon_H41 zenon_H67 zenon_H31 zenon_H11f zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.72/8.88 apply (zenon_L773_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.72/8.88 apply (zenon_L719_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.72/8.88 apply (zenon_L513_); trivial.
% 8.72/8.88 apply (zenon_L687_); trivial.
% 8.72/8.88 (* end of lemma zenon_L774_ *)
% 8.72/8.88 assert (zenon_L775_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H10c zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_Ha8 zenon_H282 zenon_H165 zenon_H192 zenon_H145 zenon_H389 zenon_Hcb zenon_H2c9 zenon_Hf3 zenon_H329 zenon_H9a zenon_H3b zenon_H11f zenon_H31 zenon_H67 zenon_H41 zenon_H12b zenon_He7 zenon_H16d zenon_Hed zenon_H27f zenon_H322 zenon_H78 zenon_H175 zenon_H66 zenon_H36a zenon_H1dd zenon_H1b1 zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H154 zenon_H35 zenon_H7d.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.88 apply (zenon_L715_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.88 apply (zenon_L258_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.88 apply (zenon_L346_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.72/8.88 apply (zenon_L193_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.72/8.88 apply (zenon_L263_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.72/8.88 apply (zenon_L774_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.72/8.88 apply (zenon_L584_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.72/8.88 apply (zenon_L65_); trivial.
% 8.72/8.88 apply (zenon_L687_); trivial.
% 8.72/8.88 apply (zenon_L730_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.72/8.88 apply (zenon_L714_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.72/8.88 apply (zenon_L97_); trivial.
% 8.72/8.88 apply (zenon_L584_); trivial.
% 8.72/8.88 (* end of lemma zenon_L775_ *)
% 8.72/8.88 assert (zenon_L776_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H322 zenon_H41 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_H282 zenon_H12b zenon_He7 zenon_Hfe zenon_H16d zenon_Hed zenon_H27f zenon_Hcb zenon_H389 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.72/8.88 apply (zenon_L772_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.72/8.88 apply (zenon_L719_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.72/8.88 apply (zenon_L513_); trivial.
% 8.72/8.88 apply (zenon_L687_); trivial.
% 8.72/8.88 (* end of lemma zenon_L776_ *)
% 8.72/8.88 assert (zenon_L777_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H336 zenon_H7d zenon_Hcb zenon_H41 zenon_H192 zenon_Hc9 zenon_Ha3 zenon_H1b1.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.72/8.88 apply (zenon_L656_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.72/8.88 apply (zenon_L9_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.72/8.88 apply (zenon_L157_); trivial.
% 8.72/8.88 apply (zenon_L553_); trivial.
% 8.72/8.88 (* end of lemma zenon_L777_ *)
% 8.72/8.88 assert (zenon_L778_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H11e zenon_H78 zenon_H1e zenon_H192 zenon_H41 zenon_H336 zenon_H90 zenon_H36a zenon_H109 zenon_H7d zenon_H6b zenon_H164 zenon_Ha3 zenon_H303 zenon_H169 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_Hed zenon_Hc9 zenon_H35 zenon_H16d zenon_He4 zenon_He7.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.72/8.88 apply (zenon_L21_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.72/8.88 apply (zenon_L777_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.72/8.88 apply (zenon_L565_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.88 apply (zenon_L740_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.88 apply (zenon_L432_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.88 apply (zenon_L346_); trivial.
% 8.72/8.88 apply (zenon_L680_); trivial.
% 8.72/8.88 (* end of lemma zenon_L778_ *)
% 8.72/8.88 assert (zenon_L779_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H11e zenon_H78 zenon_H1e zenon_H6b zenon_H90 zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_He4.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.72/8.88 apply (zenon_L21_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.72/8.88 apply (zenon_L656_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.72/8.88 apply (zenon_L565_); trivial.
% 8.72/8.88 apply (zenon_L771_); trivial.
% 8.72/8.88 (* end of lemma zenon_L779_ *)
% 8.72/8.88 assert (zenon_L780_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (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) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (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))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H1d9 zenon_H1d7 zenon_H1f6 zenon_H2b8 zenon_H67 zenon_H197 zenon_H74 zenon_H2a2 zenon_H31 zenon_H2d8 zenon_Hff zenon_H19a zenon_H329 zenon_Hc2 zenon_H1d3 zenon_H2b5 zenon_Hd0 zenon_H331 zenon_H173 zenon_H127 zenon_H22d zenon_H2b zenon_Hab zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_H32e zenon_H2a5 zenon_H129 zenon_H12b zenon_H6c zenon_H35e zenon_H35d zenon_Hba zenon_Hf3 zenon_H134 zenon_H300 zenon_H2df zenon_H137 zenon_H2a1 zenon_H1dd zenon_H2a4 zenon_H2e8 zenon_Hb4 zenon_H3a zenon_H2fc zenon_H2f3 zenon_H1f zenon_H270 zenon_H2c0 zenon_H1dc zenon_H295 zenon_H2c9 zenon_Hb7 zenon_H150 zenon_H282 zenon_H27f zenon_H285 zenon_Hf9 zenon_H11f zenon_H124 zenon_H36 zenon_H2a3 zenon_Hf8 zenon_H2e2 zenon_H2bf zenon_H105 zenon_H34d zenon_H2f8 zenon_Hbf zenon_H94 zenon_Heb zenon_He7 zenon_H16d zenon_H35 zenon_Hed zenon_H169 zenon_H303 zenon_Ha3 zenon_H164 zenon_H109 zenon_H36a zenon_H336 zenon_H41 zenon_H192 zenon_H11e zenon_H78 zenon_H1e zenon_H6b zenon_H90 zenon_H322 zenon_H7d zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_He4.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.72/8.88 apply (zenon_L725_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.72/8.88 apply (zenon_L639_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.72/8.88 apply (zenon_L778_); trivial.
% 8.72/8.88 apply (zenon_L779_); trivial.
% 8.72/8.88 (* end of lemma zenon_L780_ *)
% 8.72/8.88 assert (zenon_L781_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H36a zenon_H66 zenon_H78 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H105 zenon_H9a zenon_H3b zenon_Ha8 zenon_H11f zenon_H31 zenon_H67 zenon_H41 zenon_H12b zenon_He7 zenon_H16d zenon_Hed zenon_H27f zenon_H322 zenon_H282 zenon_H165 zenon_H192 zenon_Hfe zenon_H145 zenon_Hb0 zenon_H389 zenon_Hcb zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.88 apply (zenon_L715_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.88 apply (zenon_L258_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.88 apply (zenon_L346_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.72/8.88 apply (zenon_L394_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.72/8.88 apply (zenon_L263_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.72/8.88 apply (zenon_L774_); trivial.
% 8.72/8.88 apply (zenon_L729_); trivial.
% 8.72/8.88 (* end of lemma zenon_L781_ *)
% 8.72/8.88 assert (zenon_L782_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H36a zenon_H358 zenon_Ha3 zenon_H322 zenon_H41 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_H282 zenon_H12b zenon_He7 zenon_Hfe zenon_H16d zenon_Hed zenon_H27f zenon_Hcb zenon_H389 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.88 apply (zenon_L713_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.88 apply (zenon_L395_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.88 apply (zenon_L346_); trivial.
% 8.72/8.88 apply (zenon_L776_); trivial.
% 8.72/8.88 (* end of lemma zenon_L782_ *)
% 8.72/8.88 assert (zenon_L783_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H285 zenon_H137 zenon_Hf3 zenon_Hb0 zenon_H145 zenon_H192 zenon_H67 zenon_H31 zenon_H11f zenon_H66 zenon_H78 zenon_H36a zenon_H358 zenon_Ha3 zenon_H322 zenon_H41 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_H282 zenon_H12b zenon_He7 zenon_Hfe zenon_H16d zenon_Hed zenon_H27f zenon_Hcb zenon_H389 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.72/8.88 apply (zenon_L673_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.72/8.88 apply (zenon_L781_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.72/8.88 apply (zenon_L40_); trivial.
% 8.72/8.88 apply (zenon_L782_); trivial.
% 8.72/8.88 (* end of lemma zenon_L783_ *)
% 8.72/8.88 assert (zenon_L784_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.88 do 0 intro. intros zenon_H2c0 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H105 zenon_H9a zenon_H3b zenon_H389 zenon_H27f zenon_Hed zenon_H16d zenon_Hfe zenon_He7 zenon_H12b zenon_H282 zenon_H2c9 zenon_H41 zenon_H322 zenon_Ha3 zenon_H358 zenon_H36a zenon_H78 zenon_H66 zenon_H11f zenon_H31 zenon_H67 zenon_H192 zenon_H145 zenon_Hb0 zenon_Hf3 zenon_H137 zenon_H285 zenon_H1dd zenon_H6c zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H15a zenon_H7d zenon_Ha8 zenon_H1b1.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.72/8.88 apply (zenon_L783_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.72/8.88 apply (zenon_L714_); trivial.
% 8.72/8.88 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.72/8.88 apply (zenon_L149_); trivial.
% 8.72/8.88 apply (zenon_L719_); trivial.
% 8.72/8.88 (* end of lemma zenon_L784_ *)
% 8.72/8.88 assert (zenon_L785_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (op (e3) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H90 zenon_H11e zenon_H336 zenon_H109 zenon_H303 zenon_H169 zenon_Heb zenon_H94 zenon_Hbf zenon_H2f8 zenon_H34d zenon_H2bf zenon_Hf8 zenon_H2a3 zenon_H36 zenon_H124 zenon_Hf9 zenon_H150 zenon_Hb7 zenon_H295 zenon_H1dc zenon_H270 zenon_H2f3 zenon_H2fc zenon_H3a zenon_Hb4 zenon_H2e8 zenon_H2a4 zenon_H2a1 zenon_H2df zenon_H300 zenon_H134 zenon_Hba zenon_H35d zenon_H35e zenon_H129 zenon_H2a5 zenon_H32e zenon_H10c zenon_H2d4 zenon_H2d2 zenon_H29f zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_Hab zenon_H2b zenon_H22d zenon_H127 zenon_H173 zenon_H331 zenon_H2b5 zenon_H1d3 zenon_Hc2 zenon_H329 zenon_H19a zenon_H2d8 zenon_H2a2 zenon_H74 zenon_H197 zenon_H2b8 zenon_H1f6 zenon_H1d7 zenon_H1d9 zenon_H47 zenon_Ha8 zenon_H7d zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H285 zenon_H137 zenon_Hf3 zenon_Hb0 zenon_H145 zenon_H192 zenon_H67 zenon_H31 zenon_H11f zenon_H66 zenon_H78 zenon_H36a zenon_H358 zenon_H322 zenon_H41 zenon_H2c9 zenon_H282 zenon_H12b zenon_He7 zenon_Hfe zenon_H16d zenon_Hed zenon_H27f zenon_H389 zenon_H3b zenon_H9a zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H2c0 zenon_Ha3 zenon_H1b1.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.72/8.89 apply (zenon_L780_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.72/8.89 apply (zenon_L10_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.72/8.89 apply (zenon_L784_); trivial.
% 8.72/8.89 apply (zenon_L553_); trivial.
% 8.72/8.89 (* end of lemma zenon_L785_ *)
% 8.72/8.89 assert (zenon_L786_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H2c0 zenon_Hf3 zenon_H2c9 zenon_H389 zenon_Hb0 zenon_H145 zenon_Hfe zenon_H192 zenon_H165 zenon_H282 zenon_H322 zenon_H27f zenon_Hed zenon_H16d zenon_He7 zenon_H12b zenon_H41 zenon_H67 zenon_H31 zenon_H11f zenon_H3b zenon_H9a zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H78 zenon_H66 zenon_H36a zenon_H1dd zenon_H6c zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H15a zenon_H7d zenon_Ha8 zenon_H1b1.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.72/8.89 apply (zenon_L781_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.72/8.89 apply (zenon_L714_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.72/8.89 apply (zenon_L149_); trivial.
% 8.72/8.89 apply (zenon_L719_); trivial.
% 8.72/8.89 (* end of lemma zenon_L786_ *)
% 8.72/8.89 assert (zenon_L787_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((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 (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H36a zenon_H66 zenon_Ha8 zenon_H3b zenon_H11f zenon_H31 zenon_H67 zenon_H35 zenon_H41 zenon_H12b zenon_He7 zenon_He4 zenon_H16d zenon_Hed zenon_Hf1 zenon_H27f zenon_H282 zenon_H165 zenon_H192 zenon_Hfe zenon_H145 zenon_Hb0 zenon_H389 zenon_Hcb zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.89 apply (zenon_L715_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.89 apply (zenon_L258_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.89 apply (zenon_L346_); trivial.
% 8.72/8.89 apply (zenon_L773_); trivial.
% 8.72/8.89 (* end of lemma zenon_L787_ *)
% 8.72/8.89 assert (zenon_L788_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (((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)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H36a zenon_H358 zenon_H169 zenon_Ha8 zenon_H3b zenon_H389 zenon_Hcb zenon_H27f zenon_Hf1 zenon_Hed zenon_H16d zenon_Hfe zenon_He4 zenon_He7 zenon_H12b zenon_H10f zenon_H282 zenon_H2c9 zenon_H1dd zenon_H1b1 zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H41 zenon_H35.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.89 apply (zenon_L713_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.89 apply (zenon_L432_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.89 apply (zenon_L346_); trivial.
% 8.72/8.89 apply (zenon_L772_); trivial.
% 8.72/8.89 (* end of lemma zenon_L788_ *)
% 8.72/8.89 assert (zenon_L789_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H10c zenon_Ha8 zenon_H1f6 zenon_H3b zenon_H303 zenon_H66 zenon_H137 zenon_H7d zenon_H109 zenon_H35 zenon_H285 zenon_Hf3 zenon_H145 zenon_H192 zenon_H67 zenon_H31 zenon_H11f zenon_H78 zenon_H36a zenon_H358 zenon_H169 zenon_H389 zenon_H27f zenon_Hf1 zenon_Hed zenon_H16d zenon_He4 zenon_He7 zenon_H12b zenon_H282 zenon_H2c9 zenon_H41 zenon_H2c0 zenon_H1dd zenon_H1b1 zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H154 zenon_Hd0 zenon_Hfe.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.72/8.89 apply (zenon_L673_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.72/8.89 apply (zenon_L787_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.72/8.89 apply (zenon_L40_); trivial.
% 8.72/8.89 apply (zenon_L788_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.72/8.89 apply (zenon_L724_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.72/8.89 apply (zenon_L198_); trivial.
% 8.72/8.89 apply (zenon_L719_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.72/8.89 apply (zenon_L714_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.72/8.89 apply (zenon_L97_); trivial.
% 8.72/8.89 apply (zenon_L88_); trivial.
% 8.72/8.89 (* end of lemma zenon_L789_ *)
% 8.72/8.89 assert (zenon_L790_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H2c0 zenon_Hf3 zenon_H2c9 zenon_H389 zenon_Hb0 zenon_H145 zenon_Hfe zenon_H192 zenon_H282 zenon_H27f zenon_Hf1 zenon_Hed zenon_H16d zenon_He4 zenon_He7 zenon_H12b zenon_H41 zenon_H35 zenon_H67 zenon_H31 zenon_H11f zenon_H3b zenon_H66 zenon_H36a zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H165 zenon_H78 zenon_Ha8 zenon_H1b1.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.72/8.89 apply (zenon_L787_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.72/8.89 apply (zenon_L714_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.72/8.89 apply (zenon_L626_); trivial.
% 8.72/8.89 apply (zenon_L719_); trivial.
% 8.72/8.89 (* end of lemma zenon_L790_ *)
% 8.72/8.89 assert (zenon_L791_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((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 (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H10c zenon_Ha8 zenon_H78 zenon_H165 zenon_H36a zenon_H66 zenon_H11f zenon_H31 zenon_H67 zenon_H41 zenon_H12b zenon_He7 zenon_He4 zenon_H16d zenon_Hed zenon_Hf1 zenon_H27f zenon_H282 zenon_H192 zenon_Hfe zenon_H145 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H2c0 zenon_H1dd zenon_H1b1 zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H94 zenon_H3b zenon_H35 zenon_H7d.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.72/8.89 apply (zenon_L790_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.72/8.89 apply (zenon_L714_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.72/8.89 apply (zenon_L28_); trivial.
% 8.72/8.89 apply (zenon_L584_); trivial.
% 8.72/8.89 (* end of lemma zenon_L791_ *)
% 8.72/8.89 assert (zenon_L792_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H336 zenon_H90 zenon_H11e zenon_H47 zenon_Hff zenon_He4 zenon_H35 zenon_Hd0 zenon_H105 zenon_H9a zenon_H3b zenon_Ha8 zenon_Hf0 zenon_H7d zenon_H322 zenon_Hcb zenon_H358 zenon_H36a zenon_H78 zenon_H2c0 zenon_H11f zenon_H31 zenon_H67 zenon_H329 zenon_Hf3 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H2c9 zenon_H389 zenon_Hb0 zenon_H145 zenon_H192 zenon_H282 zenon_H137 zenon_H285 zenon_Ha3 zenon_H1b1.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.72/8.89 apply (zenon_L779_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.72/8.89 apply (zenon_L10_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.72/8.89 apply (zenon_L769_); trivial.
% 8.72/8.89 apply (zenon_L553_); trivial.
% 8.72/8.89 (* end of lemma zenon_L792_ *)
% 8.72/8.89 assert (zenon_L793_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H178 zenon_H1f.
% 8.72/8.89 apply (zenon_L114_); trivial.
% 8.72/8.89 (* end of lemma zenon_L793_ *)
% 8.72/8.89 assert (zenon_L794_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H1a3 zenon_H137 zenon_H1e.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H24. zenon_intro zenon_H1a4.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H143. zenon_intro zenon_H1a5.
% 8.72/8.89 apply (zenon_L673_); trivial.
% 8.72/8.89 (* end of lemma zenon_L794_ *)
% 8.72/8.89 assert (zenon_L795_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H1a6 zenon_H3a zenon_H3b.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H24. zenon_intro zenon_H1a7.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H143. zenon_intro zenon_H1a8.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.72/8.89 apply (zenon_L6_); trivial.
% 8.72/8.89 (* end of lemma zenon_L795_ *)
% 8.72/8.89 assert (zenon_L796_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H1b7 zenon_H36a zenon_Heb zenon_H94 zenon_H11e zenon_Hbf zenon_H322 zenon_H2f8 zenon_H34d zenon_H105 zenon_He4 zenon_H2bf zenon_H2e2 zenon_Hf8 zenon_H2a3 zenon_H36 zenon_H124 zenon_H11f zenon_Hf9 zenon_H285 zenon_H27f zenon_H282 zenon_H150 zenon_Hb7 zenon_H2c9 zenon_H295 zenon_H1dc zenon_H2c0 zenon_H270 zenon_H1f zenon_H16d zenon_H2f3 zenon_H164 zenon_H2fc zenon_H3a zenon_Hb4 zenon_H2e8 zenon_H2a4 zenon_H1dd zenon_H336 zenon_H2a1 zenon_H137 zenon_H2df zenon_H9a zenon_H300 zenon_H90 zenon_H134 zenon_Hf3 zenon_Hba zenon_H35d zenon_H35e zenon_H6c zenon_H12b zenon_H129 zenon_H2a5 zenon_H32e zenon_H10c zenon_H145 zenon_H2d4 zenon_H2d2 zenon_H29f zenon_Hc5 zenon_H170 zenon_H153 zenon_H22e zenon_H25 zenon_Hab zenon_H2b zenon_H22d zenon_H127 zenon_H173 zenon_H331 zenon_Hd0 zenon_H2b5 zenon_H1d3 zenon_Hc2 zenon_H303 zenon_H329 zenon_H78 zenon_H7d zenon_H19a zenon_H192 zenon_H109 zenon_He7 zenon_Hff zenon_H2d8 zenon_H169 zenon_H31 zenon_H2a2 zenon_H74 zenon_H197 zenon_H67 zenon_H2b8 zenon_Ha3 zenon_H1f6 zenon_Ha8 zenon_H1d7 zenon_H1d9.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H73. zenon_intro zenon_H1b8.
% 8.72/8.89 apply (zenon_L639_); trivial.
% 8.72/8.89 (* end of lemma zenon_L796_ *)
% 8.72/8.89 assert (zenon_L797_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H1bd zenon_H1e zenon_H31.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H73. zenon_intro zenon_H1be.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6b. zenon_intro zenon_H180.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H14e. zenon_intro zenon_H30.
% 8.72/8.89 apply (zenon_L4_); trivial.
% 8.72/8.89 (* end of lemma zenon_L797_ *)
% 8.72/8.89 assert (zenon_L798_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H1cc zenon_H129 zenon_H35.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H29. zenon_intro zenon_H1cd.
% 8.72/8.89 apply (zenon_L74_); trivial.
% 8.72/8.89 (* end of lemma zenon_L798_ *)
% 8.72/8.89 assert (zenon_L799_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H1ce zenon_H3a zenon_H3b.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H29. zenon_intro zenon_H1cf.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H15a. zenon_intro zenon_H1a8.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_Hbd. zenon_intro zenon_H3c.
% 8.72/8.89 apply (zenon_L6_); trivial.
% 8.72/8.89 (* end of lemma zenon_L799_ *)
% 8.72/8.89 assert (zenon_L800_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H1ea zenon_H3b zenon_H90.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Hc8. zenon_intro zenon_H1eb.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H7e. zenon_intro zenon_H177.
% 8.72/8.89 apply (zenon_L565_); trivial.
% 8.72/8.89 (* end of lemma zenon_L800_ *)
% 8.72/8.89 assert (zenon_L801_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H1ec zenon_H1e zenon_H1f.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_Hc8. zenon_intro zenon_H1ed.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H7e. zenon_intro zenon_H17a.
% 8.72/8.89 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Hac. zenon_intro zenon_H1d.
% 8.72/8.89 apply (zenon_L1_); trivial.
% 8.72/8.89 (* end of lemma zenon_L801_ *)
% 8.72/8.89 assert (zenon_L802_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H2c0 zenon_H6b zenon_H35 zenon_H109 zenon_H7d zenon_H3b zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H137 zenon_H66 zenon_H303 zenon_H1f6 zenon_H201 zenon_Ha8 zenon_H1b1.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.72/8.89 apply (zenon_L656_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.72/8.89 apply (zenon_L724_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.72/8.89 apply (zenon_L217_); trivial.
% 8.72/8.89 apply (zenon_L719_); trivial.
% 8.72/8.89 (* end of lemma zenon_L802_ *)
% 8.72/8.89 assert (zenon_L803_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (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) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = 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(e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (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))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H201 zenon_H1d9 zenon_H1d7 zenon_H1f6 zenon_H2b8 zenon_H67 zenon_H197 zenon_H74 zenon_H2a2 zenon_H31 zenon_H2d8 zenon_Hff zenon_H19a zenon_H329 zenon_Hc2 zenon_H1d3 zenon_H2b5 zenon_Hd0 zenon_H331 zenon_H173 zenon_H127 zenon_H22d zenon_H2b zenon_Hab zenon_H25 zenon_H22e zenon_H153 zenon_H170 zenon_Hc5 zenon_H29f zenon_H2d2 zenon_H2d4 zenon_H145 zenon_H10c zenon_H32e zenon_H2a5 zenon_H129 zenon_H12b zenon_H6c zenon_H35e zenon_H35d zenon_Hba zenon_Hf3 zenon_H134 zenon_H300 zenon_H2df zenon_H137 zenon_H2a1 zenon_H1dd zenon_H2a4 zenon_H2e8 zenon_Hb4 zenon_H3a zenon_H2fc zenon_H2f3 zenon_H1f zenon_H270 zenon_H2c0 zenon_H1dc zenon_H295 zenon_H2c9 zenon_Hb7 zenon_H150 zenon_H282 zenon_H27f zenon_H285 zenon_Hf9 zenon_H11f zenon_H124 zenon_H36 zenon_H2a3 zenon_Hf8 zenon_H2e2 zenon_H2bf zenon_H105 zenon_H34d zenon_H2f8 zenon_Hbf zenon_H94 zenon_Heb zenon_He7 zenon_H16d zenon_H35 zenon_Hed zenon_H169 zenon_H303 zenon_Ha3 zenon_H164 zenon_H109 zenon_H36a zenon_H336 zenon_H41 zenon_H192 zenon_H11e zenon_H78 zenon_H1e zenon_H6b zenon_H90 zenon_H322 zenon_H7d zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_He4.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.72/8.89 apply (zenon_L802_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.72/8.89 apply (zenon_L639_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.72/8.89 apply (zenon_L778_); trivial.
% 8.72/8.89 apply (zenon_L779_); trivial.
% 8.72/8.89 (* end of lemma zenon_L803_ *)
% 8.72/8.89 assert (zenon_L804_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (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 (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H329 zenon_H9a zenon_H3b zenon_Ha8 zenon_H1b1 zenon_H389 zenon_Hcb zenon_H27f zenon_Hed zenon_H16d zenon_He7 zenon_H12b zenon_H282 zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H41 zenon_H322 zenon_H7d zenon_H3a zenon_H201 zenon_H105 zenon_H10f zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.72/8.89 apply (zenon_L776_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.72/8.89 apply (zenon_L584_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.72/8.89 apply (zenon_L531_); trivial.
% 8.72/8.89 apply (zenon_L687_); trivial.
% 8.72/8.89 (* end of lemma zenon_L804_ *)
% 8.72/8.89 assert (zenon_L805_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.72/8.89 do 0 intro. intros zenon_H10c zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_Ha8 zenon_H282 zenon_H165 zenon_H192 zenon_H145 zenon_H389 zenon_Hcb zenon_H2c9 zenon_Hf3 zenon_H329 zenon_H9a zenon_H27f zenon_Hed zenon_H16d zenon_He7 zenon_H12b zenon_H41 zenon_H322 zenon_H3a zenon_H201 zenon_H67 zenon_H31 zenon_H11f zenon_Ha3 zenon_H36a zenon_H1dd zenon_H1b1 zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H94 zenon_H3b zenon_H35 zenon_H7d.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.89 apply (zenon_L715_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.89 apply (zenon_L395_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.89 apply (zenon_L346_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.72/8.89 apply (zenon_L4_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.72/8.89 apply (zenon_L263_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.72/8.89 apply (zenon_L804_); trivial.
% 8.72/8.89 apply (zenon_L730_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.72/8.89 apply (zenon_L714_); trivial.
% 8.72/8.89 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.72/8.89 apply (zenon_L28_); trivial.
% 8.72/8.89 apply (zenon_L584_); trivial.
% 8.72/8.89 (* end of lemma zenon_L805_ *)
% 8.72/8.89 assert (zenon_L806_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((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)) = (op (e3) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H336 zenon_H201 zenon_H1f6 zenon_H303 zenon_H109 zenon_Ha8 zenon_H7d zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H285 zenon_H137 zenon_Hf3 zenon_Hb0 zenon_H145 zenon_H192 zenon_H67 zenon_H31 zenon_H11f zenon_H66 zenon_H78 zenon_H36a zenon_H358 zenon_H322 zenon_H41 zenon_H2c9 zenon_H282 zenon_H12b zenon_He7 zenon_Hfe zenon_H16d zenon_Hed zenon_H27f zenon_H389 zenon_H3b zenon_H9a zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H2c0 zenon_Ha3 zenon_H1b1.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.72/8.90 apply (zenon_L802_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.72/8.90 apply (zenon_L9_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.72/8.90 apply (zenon_L784_); trivial.
% 8.72/8.90 apply (zenon_L553_); trivial.
% 8.72/8.90 (* end of lemma zenon_L806_ *)
% 8.72/8.90 assert (zenon_L807_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H2d2 zenon_Had zenon_Hc3.
% 8.72/8.90 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 8.72/8.90 intro zenon_D_pnotp.
% 8.72/8.90 apply zenon_H2d2.
% 8.72/8.90 rewrite <- zenon_D_pnotp.
% 8.72/8.90 exact zenon_Had.
% 8.72/8.90 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 8.72/8.90 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 8.72/8.90 congruence.
% 8.72/8.90 apply zenon_H2d. apply refl_equal.
% 8.72/8.90 apply zenon_H171. apply sym_equal. exact zenon_Hc3.
% 8.72/8.90 (* end of lemma zenon_L807_ *)
% 8.72/8.90 assert (zenon_L808_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H371 zenon_Ha7 zenon_H9a zenon_H3b zenon_H29f zenon_H71 zenon_H170 zenon_H2d4 zenon_H1b1 zenon_Hc2 zenon_Had zenon_H2d2 zenon_Hc9 zenon_Hfe.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.72/8.90 apply (zenon_L564_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.72/8.90 apply (zenon_L685_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.72/8.90 apply (zenon_L807_); trivial.
% 8.72/8.90 apply (zenon_L68_); trivial.
% 8.72/8.90 (* end of lemma zenon_L808_ *)
% 8.72/8.90 assert (zenon_L809_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H2e8 zenon_Ha3 zenon_Hfe zenon_Hc9 zenon_H2d2 zenon_Had zenon_Hc2 zenon_H2d4 zenon_H170 zenon_H71 zenon_H29f zenon_H9a zenon_H371 zenon_Ha8 zenon_H3b zenon_H1d9 zenon_H1b1.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.72/8.90 apply (zenon_L245_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.72/8.90 apply (zenon_L808_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.72/8.90 apply (zenon_L346_); trivial.
% 8.72/8.90 apply (zenon_L375_); trivial.
% 8.72/8.90 (* end of lemma zenon_L809_ *)
% 8.72/8.90 assert (zenon_L810_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H2c0 zenon_H358 zenon_H27e zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1f6 zenon_H201 zenon_Ha8 zenon_H1b1.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.72/8.90 apply (zenon_L713_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.72/8.90 apply (zenon_L714_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.72/8.90 apply (zenon_L217_); trivial.
% 8.72/8.90 apply (zenon_L719_); trivial.
% 8.72/8.90 (* end of lemma zenon_L810_ *)
% 8.72/8.90 assert (zenon_L811_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H389 zenon_Ha8 zenon_H201 zenon_H1f6 zenon_H27e zenon_H2c0 zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H358 | zenon_intro zenon_H38a ].
% 8.72/8.90 apply (zenon_L810_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H2a | zenon_intro zenon_H38b ].
% 8.72/8.90 apply (zenon_L307_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_Hcc | zenon_intro zenon_Ha2 ].
% 8.72/8.90 apply (zenon_L714_); trivial.
% 8.72/8.90 apply (zenon_L559_); trivial.
% 8.72/8.90 (* end of lemma zenon_L811_ *)
% 8.72/8.90 assert (zenon_L812_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H336 zenon_H109 zenon_H7d zenon_H3b zenon_H303 zenon_H36 zenon_H35 zenon_Hf3 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1dd zenon_H2c9 zenon_H2c0 zenon_H27e zenon_H1f6 zenon_H201 zenon_Ha8 zenon_H389 zenon_Ha3 zenon_H1b1.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.72/8.90 apply (zenon_L740_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.72/8.90 apply (zenon_L5_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.72/8.90 apply (zenon_L811_); trivial.
% 8.72/8.90 apply (zenon_L553_); trivial.
% 8.72/8.90 (* end of lemma zenon_L812_ *)
% 8.72/8.90 assert (zenon_L813_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_Hf9 zenon_H195 zenon_Hff zenon_He4 zenon_Hd0 zenon_H10f zenon_H105 zenon_H9a zenon_Ha8 zenon_H1b1 zenon_H7d zenon_H322 zenon_H1dd zenon_H6b zenon_Ha7 zenon_H134 zenon_H3b zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_H16d zenon_H35.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.72/8.90 apply (zenon_L766_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.72/8.90 apply (zenon_L313_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.72/8.90 apply (zenon_L734_); trivial.
% 8.72/8.90 apply (zenon_L267_); trivial.
% 8.72/8.90 (* end of lemma zenon_L813_ *)
% 8.72/8.90 assert (zenon_L814_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H11f zenon_H78 zenon_H67 zenon_H35 zenon_H16d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134 zenon_Ha7 zenon_H6b zenon_H1dd zenon_H322 zenon_H7d zenon_H1b1 zenon_Ha8 zenon_H9a zenon_H105 zenon_Hd0 zenon_He4 zenon_Hff zenon_H195 zenon_Hf9 zenon_Hc9 zenon_Hfe.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.72/8.90 apply (zenon_L394_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.72/8.90 apply (zenon_L263_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.72/8.90 apply (zenon_L813_); trivial.
% 8.72/8.90 apply (zenon_L68_); trivial.
% 8.72/8.90 (* end of lemma zenon_L814_ *)
% 8.72/8.90 assert (zenon_L815_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e3))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_Hc5 zenon_H1d9 zenon_H371 zenon_H170 zenon_H2d4 zenon_H2d2 zenon_H36a zenon_H389 zenon_H201 zenon_H1f6 zenon_H2c0 zenon_H2c9 zenon_H6c zenon_H164 zenon_H1f zenon_H2e2 zenon_Hf3 zenon_H36 zenon_H303 zenon_H109 zenon_H336 zenon_Hcc zenon_H2e8 zenon_Ha3 zenon_H71 zenon_Hfe zenon_Hc9 zenon_Hf9 zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_H9a zenon_H1b1 zenon_H7d zenon_H322 zenon_H1dd zenon_H6b zenon_H134 zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_H16d zenon_H35 zenon_H67 zenon_H78 zenon_H11f zenon_Ha8 zenon_H3b zenon_Hc2.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.72/8.90 apply (zenon_L22_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.72/8.90 apply (zenon_L809_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.72/8.90 apply (zenon_L40_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.90 apply (zenon_L812_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.90 apply (zenon_L512_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.90 apply (zenon_L346_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H276 | zenon_intro zenon_H2e9 ].
% 8.72/8.90 apply (zenon_L245_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H2ea ].
% 8.72/8.90 apply (zenon_L814_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 8.72/8.90 apply (zenon_L346_); trivial.
% 8.72/8.90 apply (zenon_L42_); trivial.
% 8.72/8.90 (* end of lemma zenon_L815_ *)
% 8.72/8.90 assert (zenon_L816_ : (~((e0) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_Hc2 zenon_H3b zenon_H11f zenon_H78 zenon_H67 zenon_H35 zenon_H16d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H134 zenon_H6b zenon_H1dd zenon_H322 zenon_H7d zenon_H9a zenon_H105 zenon_Hd0 zenon_He4 zenon_Hff zenon_Hf9 zenon_Hc9 zenon_Hfe zenon_H71 zenon_Ha3 zenon_H2e8 zenon_H336 zenon_H109 zenon_H303 zenon_H36 zenon_Hf3 zenon_H2e2 zenon_H1f zenon_H164 zenon_H6c zenon_H2c9 zenon_H2c0 zenon_H389 zenon_H36a zenon_H2d2 zenon_H2d4 zenon_H170 zenon_H371 zenon_H1d9 zenon_Hc5 zenon_H1f6 zenon_H201 zenon_Ha8 zenon_H1b1.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.72/8.90 apply (zenon_L656_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.72/8.90 apply (zenon_L815_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.72/8.90 apply (zenon_L217_); trivial.
% 8.72/8.90 apply (zenon_L719_); trivial.
% 8.72/8.90 (* end of lemma zenon_L816_ *)
% 8.72/8.90 assert (zenon_L817_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H36a zenon_H2c0 zenon_H1f6 zenon_H201 zenon_Ha3 zenon_H3b zenon_H371 zenon_H67 zenon_Hf0 zenon_Hc2 zenon_Had zenon_H2d2 zenon_H329 zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_Hcb zenon_H389 zenon_Hb0 zenon_H145 zenon_H192 zenon_H165 zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.90 apply (zenon_L811_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.90 apply (zenon_L395_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.90 apply (zenon_L346_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.72/8.90 apply (zenon_L94_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.72/8.90 apply (zenon_L685_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.72/8.90 apply (zenon_L807_); trivial.
% 8.72/8.90 apply (zenon_L730_); trivial.
% 8.72/8.90 (* end of lemma zenon_L817_ *)
% 8.72/8.90 assert (zenon_L818_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H205 zenon_H9a zenon_H3b.
% 8.72/8.90 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H3c. zenon_intro zenon_H206.
% 8.72/8.90 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Hbd. zenon_intro zenon_H1ad.
% 8.72/8.90 apply (zenon_L513_); trivial.
% 8.72/8.90 (* end of lemma zenon_L818_ *)
% 8.72/8.90 assert (zenon_L819_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H20d zenon_H2f3 zenon_Hd0 zenon_H16d zenon_H1f zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2b8 zenon_H2c0 zenon_H169 zenon_H1dc zenon_H2a1 zenon_H295 zenon_H19a zenon_H2c9 zenon_H145 zenon_Hb7 zenon_H6c zenon_Ha3 zenon_H74 zenon_H150 zenon_H282 zenon_H137 zenon_H173 zenon_H27f zenon_H10c zenon_H2e8 zenon_H285 zenon_Hf3 zenon_Hf9 zenon_H78 zenon_H2a2 zenon_H3a zenon_H170 zenon_H1f6 zenon_H22d zenon_Hc2 zenon_H192 zenon_H7d zenon_H2b zenon_Hab zenon_H31 zenon_H22e zenon_H129 zenon_H197 zenon_H1d7 zenon_H11f zenon_H67 zenon_H12b zenon_H124 zenon_H25 zenon_H36 zenon_Hb4 zenon_H153 zenon_H1d9 zenon_H2df zenon_Ha8 zenon_H127 zenon_H2a3 zenon_Hff zenon_H109 zenon_H2d8 zenon_Hf8 zenon_H164 zenon_H1dd zenon_H2e2 zenon_H2d2 zenon_H29f zenon_H2d4 zenon_H2a5 zenon_H2bf zenon_H1d3.
% 8.72/8.90 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1a9. zenon_intro zenon_H20e.
% 8.72/8.90 apply (zenon_L354_); trivial.
% 8.72/8.90 (* end of lemma zenon_L819_ *)
% 8.72/8.90 assert (zenon_L820_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H65 zenon_H2d4 zenon_Had zenon_H2d2 zenon_H71 zenon_H29f zenon_H3b zenon_H9a zenon_H59.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.72/8.90 apply (zenon_L55_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.72/8.90 apply (zenon_L719_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.72/8.90 apply (zenon_L295_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2d5 ].
% 8.72/8.90 apply (zenon_L807_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H2d6 ].
% 8.72/8.90 apply (zenon_L266_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H98 ].
% 8.72/8.90 apply (zenon_L513_); trivial.
% 8.72/8.90 apply (zenon_L492_); trivial.
% 8.72/8.90 (* end of lemma zenon_L820_ *)
% 8.72/8.90 assert (zenon_L821_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H35d zenon_H78 zenon_Hb0 zenon_Hcb zenon_H27e zenon_H59 zenon_H9a zenon_H3b zenon_H29f zenon_H71 zenon_H2d2 zenon_H2d4 zenon_H65 zenon_Ha8 zenon_H1b1 zenon_Hf0 zenon_H7d zenon_H322 zenon_H67 zenon_H35.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.72/8.90 apply (zenon_L305_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.72/8.90 apply (zenon_L713_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.72/8.90 apply (zenon_L820_); trivial.
% 8.72/8.90 apply (zenon_L263_); trivial.
% 8.72/8.90 (* end of lemma zenon_L821_ *)
% 8.72/8.90 assert (zenon_L822_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H71 zenon_H29f zenon_H59 zenon_Hcb zenon_Hb0 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H1e zenon_H67 zenon_H9a zenon_H3b zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H65 zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.90 apply (zenon_L821_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.90 apply (zenon_L432_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.90 apply (zenon_L346_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H30 | zenon_intro zenon_H122 ].
% 8.72/8.90 apply (zenon_L4_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H123 ].
% 8.72/8.90 apply (zenon_L263_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd4 ].
% 8.72/8.90 apply (zenon_L766_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H323 ].
% 8.72/8.90 apply (zenon_L55_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H324 ].
% 8.72/8.90 apply (zenon_L719_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_Hbd | zenon_intro zenon_He8 ].
% 8.72/8.90 apply (zenon_L295_); trivial.
% 8.72/8.90 apply (zenon_L691_); trivial.
% 8.72/8.90 (* end of lemma zenon_L822_ *)
% 8.72/8.90 assert (zenon_L823_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H10c zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_H65 zenon_Ha8 zenon_H1b1 zenon_Hf0 zenon_H322 zenon_H9a zenon_H67 zenon_H1e zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H29f zenon_H71 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_Hcb zenon_H6c zenon_H94 zenon_H3b zenon_H35 zenon_H7d.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.72/8.90 apply (zenon_L822_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.72/8.90 apply (zenon_L45_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.72/8.90 apply (zenon_L28_); trivial.
% 8.72/8.90 apply (zenon_L584_); trivial.
% 8.72/8.90 (* end of lemma zenon_L823_ *)
% 8.72/8.90 assert (zenon_L824_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H11e zenon_H35 zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H29f zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H1e zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H71 zenon_H322 zenon_H7d zenon_Hf0 zenon_H1b1 zenon_Ha8 zenon_H3b zenon_H9a zenon_He4.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.72/8.90 apply (zenon_L21_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.72/8.90 apply (zenon_L823_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.72/8.90 apply (zenon_L23_); trivial.
% 8.72/8.90 apply (zenon_L771_); trivial.
% 8.72/8.90 (* end of lemma zenon_L824_ *)
% 8.72/8.90 assert (zenon_L825_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_Hf9 zenon_He4 zenon_H9a zenon_H3b zenon_Ha8 zenon_H7d zenon_H322 zenon_H10c zenon_Hff zenon_Hd0 zenon_H105 zenon_H65 zenon_H67 zenon_H1e zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H6c zenon_H94 zenon_H11e zenon_H1b1 zenon_Ha3 zenon_H71 zenon_H29f zenon_H16d zenon_H35.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.72/8.90 apply (zenon_L824_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.72/8.90 apply (zenon_L553_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.72/8.90 apply (zenon_L266_); trivial.
% 8.72/8.90 apply (zenon_L267_); trivial.
% 8.72/8.90 (* end of lemma zenon_L825_ *)
% 8.72/8.90 assert (zenon_L826_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H2df zenon_H35 zenon_H16d zenon_H1b1 zenon_H11e zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H322 zenon_Ha8 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134 zenon_Ha7.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.72/8.90 apply (zenon_L825_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.72/8.90 apply (zenon_L733_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.72/8.90 apply (zenon_L396_); trivial.
% 8.72/8.90 apply (zenon_L734_); trivial.
% 8.72/8.90 (* end of lemma zenon_L826_ *)
% 8.72/8.90 assert (zenon_L827_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H2f8 zenon_Hc3 zenon_Hf6 zenon_H2df zenon_H35 zenon_H16d zenon_H1b1 zenon_H11e zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H322 zenon_Ha8 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Had | zenon_intro zenon_H2f9 ].
% 8.72/8.90 apply (zenon_L807_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H29 | zenon_intro zenon_H2fa ].
% 8.72/8.90 apply (zenon_L466_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha7 ].
% 8.72/8.90 apply (zenon_L28_); trivial.
% 8.72/8.90 apply (zenon_L826_); trivial.
% 8.72/8.90 (* end of lemma zenon_L827_ *)
% 8.72/8.90 assert (zenon_L828_ : (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.72/8.90 do 0 intro. intros zenon_H129 zenon_H2c0 zenon_H371 zenon_H62 zenon_Hc2 zenon_H134 zenon_H3b zenon_H90 zenon_H29f zenon_H25 zenon_H300 zenon_Ha3 zenon_Hf9 zenon_H9a zenon_H322 zenon_H10c zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H94 zenon_H11e zenon_H16d zenon_H2df zenon_H2f8 zenon_H329 zenon_Hf3 zenon_H1b1 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H15a zenon_H6c zenon_H1dd zenon_H2c9 zenon_Hcb zenon_H389 zenon_Hb0 zenon_H145 zenon_H192 zenon_H165 zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.72/8.90 apply (zenon_L825_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.72/8.90 apply (zenon_L74_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.72/8.90 apply (zenon_L396_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.72/8.90 apply (zenon_L739_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.72/8.90 apply (zenon_L395_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.72/8.90 apply (zenon_L346_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.72/8.90 apply (zenon_L416_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.72/8.90 apply (zenon_L685_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.72/8.90 apply (zenon_L827_); trivial.
% 8.72/8.90 apply (zenon_L730_); trivial.
% 8.72/8.90 (* end of lemma zenon_L828_ *)
% 8.72/8.90 assert (zenon_L829_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.72/8.90 do 0 intro. intros zenon_Hf9 zenon_H9a zenon_H3b zenon_H2d2 zenon_Had zenon_H2d4 zenon_H65 zenon_Ha8 zenon_H7d zenon_H322 zenon_Ha3 zenon_H71 zenon_H29f zenon_H59 zenon_H1b1.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfc ].
% 8.72/8.90 apply (zenon_L820_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfd ].
% 8.72/8.90 apply (zenon_L553_); trivial.
% 8.72/8.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf6 | zenon_intro zenon_He5 ].
% 8.72/8.90 apply (zenon_L266_); trivial.
% 8.72/8.90 apply (zenon_L479_); trivial.
% 8.72/8.90 (* end of lemma zenon_L829_ *)
% 8.72/8.90 assert (zenon_L830_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H282 zenon_H10f zenon_H12b zenon_Hd4 zenon_Hfe zenon_H145 zenon_Hb0 zenon_Hcb zenon_H358.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H143 | zenon_intro zenon_H283 ].
% 8.76/8.91 apply (zenon_L253_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H284 ].
% 8.76/8.91 apply (zenon_L68_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H27e ].
% 8.76/8.91 apply (zenon_L84_); trivial.
% 8.76/8.91 apply (zenon_L713_); trivial.
% 8.76/8.91 (* end of lemma zenon_L830_ *)
% 8.76/8.91 assert (zenon_L831_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H329 zenon_H358 zenon_Hcb zenon_Hb0 zenon_H145 zenon_H12b zenon_H10f zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd4 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.76/8.91 apply (zenon_L830_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.76/8.91 apply (zenon_L584_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.76/8.91 apply (zenon_L368_); trivial.
% 8.76/8.91 apply (zenon_L691_); trivial.
% 8.76/8.91 (* end of lemma zenon_L831_ *)
% 8.76/8.91 assert (zenon_L832_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e2)) = (e1)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H371 zenon_H62 zenon_Hc2 zenon_H134 zenon_H3b zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_Ha3 zenon_Hf9 zenon_H9a zenon_H322 zenon_H10c zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H6c zenon_H94 zenon_H11e zenon_H1b1 zenon_H16d zenon_H2df zenon_Hf6 zenon_H2f8 zenon_H329 zenon_H358 zenon_Hcb zenon_Hb0 zenon_H145 zenon_H12b zenon_H10f zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff zenon_H195.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.76/8.91 apply (zenon_L416_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.76/8.91 apply (zenon_L827_); trivial.
% 8.76/8.91 apply (zenon_L831_); trivial.
% 8.76/8.91 (* end of lemma zenon_L832_ *)
% 8.76/8.91 assert (zenon_L833_ : ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Had zenon_Hf3 zenon_H2e2 zenon_H1f zenon_H164 zenon_H15a zenon_H1dd zenon_H2c9 zenon_H389 zenon_H66 zenon_H371 zenon_H62 zenon_Hc2 zenon_H134 zenon_H3b zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_Ha3 zenon_Hf9 zenon_H9a zenon_H322 zenon_H10c zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H6c zenon_H94 zenon_H11e zenon_H1b1 zenon_H16d zenon_H2df zenon_H2f8 zenon_H329 zenon_H358 zenon_Hcb zenon_Hb0 zenon_H145 zenon_H12b zenon_H10f zenon_H282 zenon_H7d zenon_Ha8 zenon_H105 zenon_Hd0 zenon_H35 zenon_He4 zenon_Hff.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.76/8.91 apply (zenon_L829_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.76/8.91 apply (zenon_L110_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.76/8.91 apply (zenon_L396_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.76/8.91 apply (zenon_L715_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.76/8.91 apply (zenon_L258_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.76/8.91 apply (zenon_L346_); trivial.
% 8.76/8.91 apply (zenon_L832_); trivial.
% 8.76/8.91 (* end of lemma zenon_L833_ *)
% 8.76/8.91 assert (zenon_L834_ : (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H129 zenon_H2f8 zenon_Hc3 zenon_H2df zenon_H35 zenon_H16d zenon_H1b1 zenon_H11e zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H322 zenon_Ha8 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.76/8.91 apply (zenon_L825_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.76/8.91 apply (zenon_L74_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.76/8.91 apply (zenon_L396_); trivial.
% 8.76/8.91 apply (zenon_L827_); trivial.
% 8.76/8.91 (* end of lemma zenon_L834_ *)
% 8.76/8.91 assert (zenon_L835_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H371 zenon_H62 zenon_H1b1 zenon_Hc2 zenon_Had zenon_H2d2 zenon_Hc9 zenon_Hfe.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.76/8.91 apply (zenon_L416_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.76/8.91 apply (zenon_L807_); trivial.
% 8.76/8.91 apply (zenon_L68_); trivial.
% 8.76/8.91 (* end of lemma zenon_L835_ *)
% 8.76/8.91 assert (zenon_L836_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H303 zenon_Hfe zenon_H2d2 zenon_Had zenon_Hc2 zenon_H1b1 zenon_H62 zenon_H371 zenon_H164 zenon_H6b zenon_H3b zenon_H7d zenon_H109 zenon_H35.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.76/8.91 apply (zenon_L835_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.76/8.91 apply (zenon_L534_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.76/8.91 apply (zenon_L396_); trivial.
% 8.76/8.91 apply (zenon_L106_); trivial.
% 8.76/8.91 (* end of lemma zenon_L836_ *)
% 8.76/8.91 assert (zenon_L837_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Hc5 zenon_H109 zenon_H6b zenon_H164 zenon_H371 zenon_H62 zenon_Hc2 zenon_Hfe zenon_H303 zenon_H129 zenon_H2f8 zenon_H2df zenon_H35 zenon_H16d zenon_H1b1 zenon_H11e zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H322 zenon_Ha8 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.76/8.91 apply (zenon_L2_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.76/8.91 apply (zenon_L836_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.76/8.91 apply (zenon_L40_); trivial.
% 8.76/8.91 apply (zenon_L834_); trivial.
% 8.76/8.91 (* end of lemma zenon_L837_ *)
% 8.76/8.91 assert (zenon_L838_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Hc5 zenon_H109 zenon_H6b zenon_H164 zenon_H371 zenon_H62 zenon_Hc2 zenon_H303 zenon_H129 zenon_H2f8 zenon_H2df zenon_H35 zenon_H16d zenon_H1b1 zenon_H11e zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H322 zenon_Ha8 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.91 apply (zenon_L21_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.91 apply (zenon_L656_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.91 apply (zenon_L565_); trivial.
% 8.76/8.91 apply (zenon_L837_); trivial.
% 8.76/8.91 (* end of lemma zenon_L838_ *)
% 8.76/8.91 assert (zenon_L839_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Hff zenon_He4 zenon_Hd0 zenon_H105 zenon_Ha8 zenon_H282 zenon_H165 zenon_H192 zenon_H145 zenon_H389 zenon_Hcb zenon_H2c9 zenon_Hf3 zenon_H329 zenon_H2f8 zenon_H2df zenon_H16d zenon_H11e zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H10c zenon_H322 zenon_H9a zenon_Hf9 zenon_Ha3 zenon_H300 zenon_H25 zenon_H29f zenon_H90 zenon_H134 zenon_Hc2 zenon_H62 zenon_H371 zenon_H2c0 zenon_H129 zenon_H1dd zenon_H1b1 zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H94 zenon_H3b zenon_H35 zenon_H7d.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.91 apply (zenon_L828_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.91 apply (zenon_L714_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.91 apply (zenon_L28_); trivial.
% 8.76/8.91 apply (zenon_L584_); trivial.
% 8.76/8.91 (* end of lemma zenon_L839_ *)
% 8.76/8.91 assert (zenon_L840_ : (((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (((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)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H336 zenon_H303 zenon_H109 zenon_Hc5 zenon_H36 zenon_H7d zenon_H35 zenon_H3b zenon_H94 zenon_H6c zenon_Hcb zenon_H285 zenon_H137 zenon_H129 zenon_H2c0 zenon_H192 zenon_Had zenon_Hf3 zenon_H2e2 zenon_H1f zenon_H164 zenon_H1dd zenon_H2c9 zenon_H389 zenon_H66 zenon_H371 zenon_H62 zenon_Hc2 zenon_H134 zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_Ha3 zenon_Hf9 zenon_H9a zenon_H322 zenon_H10c zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H11e zenon_H1b1 zenon_H16d zenon_H2df zenon_H2f8 zenon_H329 zenon_H358 zenon_H145 zenon_H12b zenon_H282 zenon_Ha8 zenon_H105 zenon_Hd0 zenon_He4 zenon_Hff zenon_H64.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L838_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L5_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.76/8.91 apply (zenon_L673_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.76/8.91 apply (zenon_L839_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.76/8.91 apply (zenon_L40_); trivial.
% 8.76/8.91 apply (zenon_L833_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.91 apply (zenon_L45_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.91 apply (zenon_L28_); trivial.
% 8.76/8.91 apply (zenon_L584_); trivial.
% 8.76/8.91 apply (zenon_L265_); trivial.
% 8.76/8.91 (* end of lemma zenon_L840_ *)
% 8.76/8.91 assert (zenon_L841_ : ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Had zenon_H371 zenon_H62 zenon_Hc2 zenon_H134 zenon_H3b zenon_H90 zenon_H29f zenon_H25 zenon_H300 zenon_H7d zenon_Ha3 zenon_Hf9 zenon_He4 zenon_H9a zenon_Ha8 zenon_H322 zenon_H10c zenon_Hff zenon_Hd0 zenon_H105 zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H94 zenon_H11e zenon_H16d zenon_H35 zenon_H2df zenon_H2f8 zenon_H282 zenon_H165 zenon_H192 zenon_Hfe zenon_H145 zenon_Hb0 zenon_H389 zenon_Hcb zenon_H2c9 zenon_H1dd zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H1b1 zenon_Hf3.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.76/8.91 apply (zenon_L829_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.76/8.91 apply (zenon_L110_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.76/8.91 apply (zenon_L396_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.76/8.91 apply (zenon_L416_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.76/8.91 apply (zenon_L827_); trivial.
% 8.76/8.91 apply (zenon_L729_); trivial.
% 8.76/8.91 (* end of lemma zenon_L841_ *)
% 8.76/8.91 assert (zenon_L842_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H2c0 zenon_Hf3 zenon_H2c9 zenon_H389 zenon_Hb0 zenon_H145 zenon_Hfe zenon_H192 zenon_H165 zenon_H282 zenon_H2f8 zenon_H2df zenon_H35 zenon_H16d zenon_H11e zenon_H94 zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H322 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H300 zenon_H25 zenon_H29f zenon_H90 zenon_H3b zenon_H134 zenon_Hc2 zenon_H62 zenon_H371 zenon_Had zenon_H1dd zenon_H6c zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H15a zenon_H7d zenon_Ha8 zenon_H1b1.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.76/8.91 apply (zenon_L841_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.76/8.91 apply (zenon_L714_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.76/8.91 apply (zenon_L149_); trivial.
% 8.76/8.91 apply (zenon_L719_); trivial.
% 8.76/8.91 (* end of lemma zenon_L842_ *)
% 8.76/8.91 assert (zenon_L843_ : (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Ha8 zenon_H7d zenon_Had zenon_H371 zenon_H62 zenon_Hc2 zenon_H134 zenon_H90 zenon_H29f zenon_H25 zenon_H300 zenon_Ha3 zenon_Hf9 zenon_He4 zenon_H9a zenon_H322 zenon_H10c zenon_Hff zenon_H105 zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H11e zenon_H16d zenon_H35 zenon_H2df zenon_H2f8 zenon_H282 zenon_H165 zenon_H192 zenon_H145 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H2c0 zenon_H1dd zenon_H1b1 zenon_H6c zenon_H15a zenon_H164 zenon_H1e zenon_H1f zenon_H2e2 zenon_H94 zenon_H3b zenon_Hd0 zenon_Hfe.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.91 apply (zenon_L842_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.91 apply (zenon_L714_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.91 apply (zenon_L28_); trivial.
% 8.76/8.91 apply (zenon_L88_); trivial.
% 8.76/8.91 (* end of lemma zenon_L843_ *)
% 8.76/8.91 assert (zenon_L844_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e0)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H336 zenon_H109 zenon_H303 zenon_H36 zenon_Hfe zenon_Hd0 zenon_H3b zenon_H94 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1b1 zenon_H1dd zenon_H2c0 zenon_Hf3 zenon_H2c9 zenon_H389 zenon_H145 zenon_H192 zenon_H165 zenon_H282 zenon_H2f8 zenon_H2df zenon_H35 zenon_H16d zenon_H11e zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hff zenon_H10c zenon_H322 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H300 zenon_H25 zenon_H29f zenon_H90 zenon_H134 zenon_Hc2 zenon_H62 zenon_H371 zenon_Had zenon_H7d zenon_Ha8 zenon_H64.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L836_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L5_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_L843_); trivial.
% 8.76/8.91 apply (zenon_L265_); trivial.
% 8.76/8.91 (* end of lemma zenon_L844_ *)
% 8.76/8.91 assert (zenon_L845_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Hc5 zenon_H64 zenon_H371 zenon_H62 zenon_Hc2 zenon_H282 zenon_H165 zenon_H192 zenon_H145 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H2c0 zenon_H1dd zenon_H164 zenon_H1f zenon_H2e2 zenon_Hfe zenon_H36 zenon_H303 zenon_H109 zenon_H336 zenon_H129 zenon_H2f8 zenon_H2df zenon_H35 zenon_H16d zenon_H1b1 zenon_H11e zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H322 zenon_Ha8 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.76/8.91 apply (zenon_L2_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.76/8.91 apply (zenon_L844_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.76/8.91 apply (zenon_L40_); trivial.
% 8.76/8.91 apply (zenon_L834_); trivial.
% 8.76/8.91 (* end of lemma zenon_L845_ *)
% 8.76/8.91 assert (zenon_L846_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e2)) = (e1)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H371 zenon_H62 zenon_Hc2 zenon_H134 zenon_H3b zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_H7d zenon_Ha3 zenon_Hf9 zenon_He4 zenon_H9a zenon_Ha8 zenon_H322 zenon_H10c zenon_Hff zenon_Hd0 zenon_H105 zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H6c zenon_H94 zenon_H11e zenon_H1b1 zenon_H16d zenon_H35 zenon_H2df zenon_Hf6 zenon_H2f8 zenon_H282 zenon_H10f zenon_H12b zenon_Hfe zenon_H145 zenon_Hb0 zenon_Hcb zenon_H358.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H14e | zenon_intro zenon_H372 ].
% 8.76/8.91 apply (zenon_L416_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H1df | zenon_intro zenon_H373 ].
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd4 ].
% 8.76/8.91 apply (zenon_L827_); trivial.
% 8.76/8.91 apply (zenon_L830_); trivial.
% 8.76/8.91 (* end of lemma zenon_L846_ *)
% 8.76/8.91 assert (zenon_L847_ : ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Had zenon_H371 zenon_H62 zenon_Hc2 zenon_H134 zenon_H3b zenon_H90 zenon_H29f zenon_H1e zenon_H25 zenon_H300 zenon_H7d zenon_Ha3 zenon_Hf9 zenon_He4 zenon_H9a zenon_Ha8 zenon_H322 zenon_H10c zenon_Hff zenon_Hd0 zenon_H105 zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H6c zenon_H94 zenon_H11e zenon_H1b1 zenon_H16d zenon_H35 zenon_H2df zenon_H2f8 zenon_H282 zenon_H10f zenon_H12b zenon_Hfe zenon_H145 zenon_Hb0 zenon_Hcb zenon_H358.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H71 | zenon_intro zenon_H2e0 ].
% 8.76/8.91 apply (zenon_L829_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H29 | zenon_intro zenon_H2e1 ].
% 8.76/8.91 apply (zenon_L110_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H91 | zenon_intro zenon_Hf6 ].
% 8.76/8.91 apply (zenon_L396_); trivial.
% 8.76/8.91 apply (zenon_L846_); trivial.
% 8.76/8.91 (* end of lemma zenon_L847_ *)
% 8.76/8.91 assert (zenon_L848_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_Hc5 zenon_H358 zenon_Hcb zenon_Hb0 zenon_H145 zenon_Hfe zenon_H12b zenon_H10f zenon_H282 zenon_Hc2 zenon_H62 zenon_H371 zenon_H129 zenon_H2f8 zenon_H2df zenon_H35 zenon_H16d zenon_H1b1 zenon_H11e zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H59 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H67 zenon_H65 zenon_H105 zenon_Hd0 zenon_Hff zenon_H10c zenon_H322 zenon_Ha8 zenon_H9a zenon_He4 zenon_Hf9 zenon_Ha3 zenon_H7d zenon_H300 zenon_H25 zenon_H1e zenon_H29f zenon_H90 zenon_H3b zenon_H134.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.76/8.91 apply (zenon_L2_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.76/8.91 apply (zenon_L847_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.76/8.91 apply (zenon_L40_); trivial.
% 8.76/8.91 apply (zenon_L834_); trivial.
% 8.76/8.91 (* end of lemma zenon_L848_ *)
% 8.76/8.91 assert (zenon_L849_ : (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H7d zenon_H35 zenon_H3b zenon_H94 zenon_H2e2 zenon_H1f zenon_H1e zenon_H164 zenon_H6c zenon_H1b1 zenon_H1dd zenon_H134 zenon_H90 zenon_H29f zenon_H25 zenon_H300 zenon_Ha3 zenon_Hf9 zenon_He4 zenon_H9a zenon_H322 zenon_H10c zenon_Hff zenon_Hd0 zenon_H105 zenon_H65 zenon_H67 zenon_H31 zenon_H11f zenon_H169 zenon_H35d zenon_H78 zenon_H59 zenon_H2d2 zenon_H2d4 zenon_H36a zenon_H11e zenon_H16d zenon_H2df zenon_H2f8 zenon_H129 zenon_H371 zenon_H62 zenon_Hc2 zenon_H282 zenon_H12b zenon_Hfe zenon_H145 zenon_H358 zenon_Hc5 zenon_H192 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H2c0 zenon_H36 zenon_H303 zenon_H109 zenon_H336 zenon_H137 zenon_H285 zenon_Ha8 zenon_H64.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L837_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L5_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.76/8.91 apply (zenon_L673_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.76/8.91 apply (zenon_L845_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.76/8.91 apply (zenon_L40_); trivial.
% 8.76/8.91 apply (zenon_L848_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.76/8.91 apply (zenon_L714_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.76/8.91 apply (zenon_L149_); trivial.
% 8.76/8.91 apply (zenon_L719_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.91 apply (zenon_L714_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.91 apply (zenon_L28_); trivial.
% 8.76/8.91 apply (zenon_L584_); trivial.
% 8.76/8.91 apply (zenon_L265_); trivial.
% 8.76/8.91 (* end of lemma zenon_L849_ *)
% 8.76/8.91 assert (zenon_L850_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e0) (e0)) = (e0))/\((op (e0) (e0)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e1) (e0)) = (e0))/\((op (e0) (e1)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e2) (e0)) = (e0))/\((op (e0) (e2)) = (e0)))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((op (e3) (e0)) = (e0))/\((op (e0) (e3)) = (e0)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e0) (e1)) = (e1))/\((op (e1) (e0)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e1) (e1)) = (e1))/\((op (e1) (e1)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e2) (e1)) = (e1))/\((op (e1) (e2)) = (e1)))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((op (e3) (e1)) = (e1))/\((op (e1) (e3)) = (e1)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e0) (e2)) = (e2))/\((op (e2) (e0)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e1) (e2)) = (e2))/\((op (e2) (e1)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e2) (e2)) = (e2))/\((op (e2) (e2)) = (e2)))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((op (e3) (e2)) = (e2))/\((op (e2) (e3)) = (e2)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e0) (e3)) = (e3))/\((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e1) (e3)) = (e3))/\((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e2) (e3)) = (e3))/\((op (e3) (e2)) = (e3)))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3))))))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3))))))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3))))))\/((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (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) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 8.76/8.91 do 0 intro. intros zenon_H2fc zenon_H3a zenon_H1d7 zenon_H2f3 zenon_H270 zenon_H2a4 zenon_H2b5 zenon_H2b8 zenon_H1dc zenon_H295 zenon_H19a zenon_Hb7 zenon_H74 zenon_H150 zenon_H173 zenon_H27f zenon_H2e8 zenon_H2a2 zenon_H170 zenon_H1f6 zenon_H22d zenon_H2b zenon_Hab zenon_H22e zenon_H197 zenon_H124 zenon_Hb4 zenon_H153 zenon_H127 zenon_H2a3 zenon_H2d8 zenon_Hf8 zenon_H2a5 zenon_H2bf zenon_H1d3 zenon_Hed zenon_He7 zenon_Heb zenon_Hbf zenon_H34d zenon_Hba zenon_H32e zenon_H331 zenon_H2a1 zenon_H282 zenon_H192 zenon_H145 zenon_H389 zenon_H2c9 zenon_Hf3 zenon_H2c0 zenon_H1dd zenon_H1f zenon_H2e2 zenon_H36 zenon_H336 zenon_H12b zenon_H137 zenon_H285 zenon_H35e zenon_H329 zenon_H134 zenon_H90 zenon_H25 zenon_H300 zenon_H2df zenon_H2f8 zenon_H129 zenon_H303 zenon_Hc2 zenon_H371 zenon_H164 zenon_H109 zenon_Hc5 zenon_H16d zenon_H29f zenon_Ha3 zenon_H11e zenon_H94 zenon_H6c zenon_H36a zenon_H2d4 zenon_H2d2 zenon_H78 zenon_H35d zenon_H169 zenon_H11f zenon_H31 zenon_H1e zenon_H67 zenon_H105 zenon_Hff zenon_H10c zenon_H322 zenon_H7d zenon_Ha8 zenon_H9a zenon_He4 zenon_Hf9 zenon_Hd0 zenon_H1d9 zenon_H1b1.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.76/8.91 apply (zenon_L2_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.76/8.91 apply (zenon_L4_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.76/8.91 apply (zenon_L74_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L527_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L3_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_L718_); trivial.
% 8.76/8.91 apply (zenon_L553_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L720_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L9_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2c4 ].
% 8.76/8.91 apply (zenon_L716_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2c5 ].
% 8.76/8.91 apply (zenon_L85_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1d8 ].
% 8.76/8.91 apply (zenon_L149_); trivial.
% 8.76/8.91 apply (zenon_L719_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.91 apply (zenon_L714_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.91 apply (zenon_L161_); trivial.
% 8.76/8.91 apply (zenon_L63_); trivial.
% 8.76/8.91 apply (zenon_L553_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H304 ].
% 8.76/8.91 apply (zenon_L721_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H15a | zenon_intro zenon_H305 ].
% 8.76/8.91 apply (zenon_L99_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H91 | zenon_intro zenon_H16b ].
% 8.76/8.91 apply (zenon_L104_); trivial.
% 8.76/8.91 apply (zenon_L561_); trivial.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.76/8.91 apply (zenon_L723_); trivial.
% 8.76/8.91 apply (zenon_L384_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.76/8.91 apply (zenon_L4_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.91 apply (zenon_L21_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.76/8.91 apply (zenon_L21_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.76/8.91 apply (zenon_L305_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.76/8.91 apply (zenon_L737_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.91 apply (zenon_L76_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.91 apply (zenon_L737_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.91 apply (zenon_L748_); trivial.
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_L263_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.76/8.91 apply (zenon_L495_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.76/8.91 apply (zenon_L749_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.76/8.91 apply (zenon_L752_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.91 apply (zenon_L80_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.91 apply (zenon_L752_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.91 apply (zenon_L748_); trivial.
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_L263_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.91 apply (zenon_L70_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.76/8.91 apply (zenon_L21_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.76/8.91 apply (zenon_L760_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.76/8.91 apply (zenon_L484_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.76/8.91 apply (zenon_L764_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.76/8.91 apply (zenon_L762_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.91 apply (zenon_L76_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.91 apply (zenon_L762_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L738_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L5_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.91 apply (zenon_L759_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.91 apply (zenon_L724_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.91 apply (zenon_L28_); trivial.
% 8.76/8.91 apply (zenon_L88_); trivial.
% 8.76/8.91 apply (zenon_L553_); trivial.
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_L263_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.76/8.91 apply (zenon_L527_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.76/8.91 apply (zenon_L19_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.76/8.91 apply (zenon_L639_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.76/8.91 apply (zenon_L765_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.91 apply (zenon_L21_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.76/8.91 apply (zenon_L21_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.76/8.91 apply (zenon_L770_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.76/8.91 apply (zenon_L495_); trivial.
% 8.76/8.91 apply (zenon_L55_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.91 apply (zenon_L23_); trivial.
% 8.76/8.91 apply (zenon_L771_); trivial.
% 8.76/8.91 apply (zenon_L246_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H41. zenon_intro zenon_H4a.
% 8.76/8.91 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H154. zenon_intro zenon_H2c3.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H175 | zenon_intro zenon_H230 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.91 apply (zenon_L21_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L656_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L9_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.76/8.91 apply (zenon_L673_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.76/8.91 apply (zenon_L775_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.76/8.91 apply (zenon_L40_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.76/8.91 apply (zenon_L715_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.76/8.91 apply (zenon_L258_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.76/8.91 apply (zenon_L346_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hfe | zenon_intro zenon_H32a ].
% 8.76/8.91 apply (zenon_L776_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H108 | zenon_intro zenon_H32b ].
% 8.76/8.91 apply (zenon_L584_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H3c | zenon_intro zenon_He8 ].
% 8.76/8.91 apply (zenon_L368_); trivial.
% 8.76/8.91 apply (zenon_L687_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.91 apply (zenon_L45_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.91 apply (zenon_L28_); trivial.
% 8.76/8.91 apply (zenon_L584_); trivial.
% 8.76/8.91 apply (zenon_L553_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.91 apply (zenon_L565_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.76/8.91 apply (zenon_L21_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.91 apply (zenon_L1_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.91 apply (zenon_L785_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L738_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L9_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_L786_); trivial.
% 8.76/8.91 apply (zenon_L553_); trivial.
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.76/8.91 apply (zenon_L495_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.91 apply (zenon_L113_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L780_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L10_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_L789_); trivial.
% 8.76/8.91 apply (zenon_L553_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L738_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L9_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.91 apply (zenon_L791_); trivial.
% 8.76/8.91 apply (zenon_L553_); trivial.
% 8.76/8.91 apply (zenon_L685_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.76/8.91 apply (zenon_L780_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.76/8.91 apply (zenon_L19_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.76/8.91 apply (zenon_L119_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.91 apply (zenon_L778_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.91 apply (zenon_L10_); trivial.
% 8.76/8.91 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_L157_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.92 apply (zenon_L113_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.92 apply (zenon_L792_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L656_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L9_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_L767_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_L685_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.76/8.92 apply (zenon_L484_); trivial.
% 8.76/8.92 apply (zenon_L55_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.92 apply (zenon_L23_); trivial.
% 8.76/8.92 apply (zenon_L771_); trivial.
% 8.76/8.92 apply (zenon_L246_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H178 | zenon_intro zenon_H231 ].
% 8.76/8.92 apply (zenon_L793_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17b | zenon_intro zenon_H232 ].
% 8.76/8.92 apply (zenon_L116_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17e | zenon_intro zenon_H233 ].
% 8.76/8.92 apply (zenon_L118_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H181 | zenon_intro zenon_H234 ].
% 8.76/8.92 apply (zenon_L120_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H184 | zenon_intro zenon_H235 ].
% 8.76/8.92 apply (zenon_L121_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H187 | zenon_intro zenon_H236 ].
% 8.76/8.92 apply (zenon_L277_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H237 ].
% 8.76/8.92 apply (zenon_L389_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19d | zenon_intro zenon_H238 ].
% 8.76/8.92 apply (zenon_L129_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H239 ].
% 8.76/8.92 apply (zenon_L278_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H23a ].
% 8.76/8.92 apply (zenon_L794_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H23b ].
% 8.76/8.92 apply (zenon_L795_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23c ].
% 8.76/8.92 apply (zenon_L135_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H23d ].
% 8.76/8.92 apply (zenon_L546_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H23e ].
% 8.76/8.92 apply (zenon_L443_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H23f ].
% 8.76/8.92 apply (zenon_L444_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H240 ].
% 8.76/8.92 apply (zenon_L796_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H241 ].
% 8.76/8.92 apply (zenon_L520_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1bb | zenon_intro zenon_H242 ].
% 8.76/8.92 apply (zenon_L141_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1bd | zenon_intro zenon_H243 ].
% 8.76/8.92 apply (zenon_L797_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1bf | zenon_intro zenon_H244 ].
% 8.76/8.92 apply (zenon_L143_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H245 ].
% 8.76/8.92 apply (zenon_L144_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H246 ].
% 8.76/8.92 apply (zenon_L146_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H247 ].
% 8.76/8.92 apply (zenon_L147_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H248 ].
% 8.76/8.92 apply (zenon_L390_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ca | zenon_intro zenon_H249 ].
% 8.76/8.92 apply (zenon_L151_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1cc | zenon_intro zenon_H24a ].
% 8.76/8.92 apply (zenon_L798_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1ce | zenon_intro zenon_H24b ].
% 8.76/8.92 apply (zenon_L799_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H24c ].
% 8.76/8.92 apply (zenon_L355_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H24d ].
% 8.76/8.92 apply (zenon_L356_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ].
% 8.76/8.92 apply (zenon_L446_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H24f ].
% 8.76/8.92 apply (zenon_L447_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1ea | zenon_intro zenon_H250 ].
% 8.76/8.92 apply (zenon_L800_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1ec | zenon_intro zenon_H251 ].
% 8.76/8.92 apply (zenon_L801_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ee | zenon_intro zenon_H252 ].
% 8.76/8.92 apply (zenon_L188_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H253 ].
% 8.76/8.92 apply (zenon_L598_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H254 ].
% 8.76/8.92 apply (zenon_L547_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H255 ].
% 8.76/8.92 apply (zenon_L317_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H256 ].
% 8.76/8.92 apply (zenon_L364_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fb | zenon_intro zenon_H257 ].
% 8.76/8.92 apply (zenon_L279_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1fd | zenon_intro zenon_H258 ].
% 8.76/8.92 apply (zenon_L241_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1ff | zenon_intro zenon_H259 ].
% 8.76/8.92 apply (zenon_L242_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H201 | zenon_intro zenon_H25a ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L803_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L10_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.76/8.92 apply (zenon_L673_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.76/8.92 apply (zenon_L805_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.76/8.92 apply (zenon_L40_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H27e | zenon_intro zenon_H36b ].
% 8.76/8.92 apply (zenon_L715_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H196 | zenon_intro zenon_H36c ].
% 8.76/8.92 apply (zenon_L258_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H99 | zenon_intro zenon_H195 ].
% 8.76/8.92 apply (zenon_L346_); trivial.
% 8.76/8.92 apply (zenon_L804_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.92 apply (zenon_L724_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.92 apply (zenon_L97_); trivial.
% 8.76/8.92 apply (zenon_L584_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.92 apply (zenon_L565_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.92 apply (zenon_L1_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.92 apply (zenon_L806_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L803_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L10_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_L786_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_L685_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.76/8.92 apply (zenon_L366_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.92 apply (zenon_L1_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L803_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L10_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_L789_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L802_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L9_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_L791_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_L685_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.76/8.92 apply (zenon_L803_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.76/8.92 apply (zenon_L19_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.76/8.92 apply (zenon_L119_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.92 apply (zenon_L777_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.92 apply (zenon_L565_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L816_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L10_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_L157_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H77 | zenon_intro zenon_Hfa ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfb ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.76/8.92 apply (zenon_L305_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.76/8.92 apply (zenon_L792_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.92 apply (zenon_L80_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L656_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L9_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.76/8.92 apply (zenon_L673_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.76/8.92 apply (zenon_L817_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.76/8.92 apply (zenon_L40_); trivial.
% 8.76/8.92 apply (zenon_L768_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L779_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L10_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_L817_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_L685_); trivial.
% 8.76/8.92 apply (zenon_L263_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hf1 ].
% 8.76/8.92 apply (zenon_L366_); trivial.
% 8.76/8.92 apply (zenon_L55_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.92 apply (zenon_L23_); trivial.
% 8.76/8.92 apply (zenon_L771_); trivial.
% 8.76/8.92 apply (zenon_L246_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H203 | zenon_intro zenon_H25b ].
% 8.76/8.92 apply (zenon_L271_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H205 | zenon_intro zenon_H25c ].
% 8.76/8.92 apply (zenon_L818_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25d ].
% 8.76/8.92 apply (zenon_L548_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H209 | zenon_intro zenon_H25e ].
% 8.76/8.92 apply (zenon_L369_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20b | zenon_intro zenon_H25f ].
% 8.76/8.92 apply (zenon_L452_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H20d | zenon_intro zenon_H260 ].
% 8.76/8.92 apply (zenon_L819_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 8.76/8.92 apply (zenon_L281_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H211 | zenon_intro zenon_H262 ].
% 8.76/8.92 apply (zenon_L537_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H213 | zenon_intro zenon_H263 ].
% 8.76/8.92 apply (zenon_L373_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H215 | zenon_intro zenon_H264 ].
% 8.76/8.92 apply (zenon_L549_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H217 | zenon_intro zenon_H265 ].
% 8.76/8.92 apply (zenon_L408_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H219 | zenon_intro zenon_H266 ].
% 8.76/8.92 apply (zenon_L377_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H21b | zenon_intro zenon_H267 ].
% 8.76/8.92 apply (zenon_L378_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H21d | zenon_intro zenon_H268 ].
% 8.76/8.92 apply (zenon_L453_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H21f | zenon_intro zenon_H269 ].
% 8.76/8.92 apply (zenon_L597_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H221 | zenon_intro zenon_H26a ].
% 8.76/8.92 apply (zenon_L542_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H223 | zenon_intro zenon_H26b ].
% 8.76/8.92 apply (zenon_L382_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H225 | zenon_intro zenon_H26c ].
% 8.76/8.92 apply (zenon_L383_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H227 | zenon_intro zenon_H26d ].
% 8.76/8.92 apply (zenon_L386_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H229 | zenon_intro zenon_H22b ].
% 8.76/8.92 apply (zenon_L454_); trivial.
% 8.76/8.92 apply (zenon_L455_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.76/8.92 apply (zenon_L13_); trivial.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_Hac | zenon_intro zenon_H35f ].
% 8.76/8.92 apply (zenon_L749_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H358 | zenon_intro zenon_H360 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L656_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L5_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H10d ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.76/8.92 apply (zenon_L673_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.76/8.92 apply (zenon_L828_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.76/8.92 apply (zenon_L40_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc6 ].
% 8.76/8.92 apply (zenon_L2_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ].
% 8.76/8.92 apply (zenon_L833_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H80 | zenon_intro zenon_Hc3 ].
% 8.76/8.92 apply (zenon_L40_); trivial.
% 8.76/8.92 apply (zenon_L834_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H10e ].
% 8.76/8.92 apply (zenon_L45_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H93 | zenon_intro zenon_H108 ].
% 8.76/8.92 apply (zenon_L28_); trivial.
% 8.76/8.92 apply (zenon_L584_); trivial.
% 8.76/8.92 apply (zenon_L553_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_Had | zenon_intro zenon_Hd1 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.92 apply (zenon_L80_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.92 apply (zenon_L840_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H6b | zenon_intro zenon_H337 ].
% 8.76/8.92 apply (zenon_L838_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2a | zenon_intro zenon_H338 ].
% 8.76/8.92 apply (zenon_L5_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H15a | zenon_intro zenon_Hf4 ].
% 8.76/8.92 apply (zenon_L839_); trivial.
% 8.76/8.92 apply (zenon_L265_); trivial.
% 8.76/8.92 apply (zenon_L685_); trivial.
% 8.76/8.92 apply (zenon_L263_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.92 apply (zenon_L565_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.92 apply (zenon_L1_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.92 apply (zenon_L849_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.92 apply (zenon_L845_); trivial.
% 8.76/8.92 apply (zenon_L685_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.76/8.92 apply (zenon_L838_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.76/8.92 apply (zenon_L825_); trivial.
% 8.76/8.92 apply (zenon_L246_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.76/8.92 apply (zenon_L6_); trivial.
% 8.76/8.92 apply (zenon_L384_); trivial.
% 8.76/8.92 apply (zenon_L375_); trivial.
% 8.76/8.92 (* end of lemma zenon_L850_ *)
% 8.76/8.92 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H38e. zenon_intro zenon_H38d.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H2e2. zenon_intro zenon_H38f.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H300. zenon_intro zenon_H390.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H105. zenon_intro zenon_H391.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_Hb7. zenon_intro zenon_H392.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H389. zenon_intro zenon_H393.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H2f8. zenon_intro zenon_H394.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H2b5. zenon_intro zenon_H395.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H282. zenon_intro zenon_H396.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H19a. zenon_intro zenon_H397.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H9f. zenon_intro zenon_H398.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H2d8. zenon_intro zenon_H399.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H39b. zenon_intro zenon_H39a.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H1dc. zenon_intro zenon_H39c.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H2d4. zenon_intro zenon_Hed.
% 8.76/8.92 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H39e. zenon_intro zenon_H39d.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2a2. zenon_intro zenon_H39f.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H2a1. zenon_intro zenon_H3a0.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H150. zenon_intro zenon_H3a1.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a1). zenon_intro zenon_H11e. zenon_intro zenon_H3a2.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_Hf8. zenon_intro zenon_H3a3.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a3). zenon_intro zenon_H2a4. zenon_intro zenon_H3a4.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a4). zenon_intro zenon_H32e. zenon_intro zenon_H3a5.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a5). zenon_intro zenon_H35d. zenon_intro zenon_H3a6.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a6). zenon_intro zenon_H35e. zenon_intro zenon_H3a7.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a7). zenon_intro zenon_H3a9. zenon_intro zenon_H3a8.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3a8). zenon_intro zenon_H336. zenon_intro zenon_H3aa.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H10c. zenon_intro zenon_H3ab.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H2c0. zenon_intro zenon_H3ac.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_Hba. zenon_intro zenon_H3ad.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H2a3. zenon_intro zenon_H3ae.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H285. zenon_intro zenon_H3af.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_Hc5. zenon_intro zenon_H3b0.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b0). zenon_intro zenon_H303. zenon_intro zenon_H3b1.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_H2df. zenon_intro zenon_H3b2.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H3b4. zenon_intro zenon_H3b3.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_Hbf. zenon_intro zenon_H3b5.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H36a. zenon_intro zenon_H3b6.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e8. zenon_intro zenon_H3b7.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H371. zenon_intro zenon_H3b8.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H11f. zenon_intro zenon_H3b9.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3b9). zenon_intro zenon_Hf9. zenon_intro zenon_H3ba.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ba). zenon_intro zenon_H2b8. zenon_intro zenon_H3bb.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_H322. zenon_intro zenon_H3bc.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_H329. zenon_intro zenon_H3bd.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_H3be. zenon_intro zenon_H331.
% 8.76/8.92 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H34d. zenon_intro zenon_H3bf.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H137. zenon_intro zenon_H3c0.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H270. zenon_intro zenon_H3c1.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H145. zenon_intro zenon_H3c2.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H295. zenon_intro zenon_H3c3.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H27f. zenon_intro zenon_H3c4.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H6c. zenon_intro zenon_H3c5.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H164. zenon_intro zenon_H3c6.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1dd. zenon_intro zenon_H3c7.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H2c9. zenon_intro zenon_H3c8.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hf3. zenon_intro zenon_H3c9.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_H169. zenon_intro zenon_H3ca.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H134. zenon_intro zenon_H3cb.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3cb). zenon_intro zenon_H90. zenon_intro zenon_H3cc.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_H29f. zenon_intro zenon_H3cd.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3cd). zenon_intro zenon_H94. zenon_intro zenon_H3ce.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H2d2. zenon_intro zenon_H3cf.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3cf). zenon_intro zenon_H9a. zenon_intro zenon_H3d0.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_Hd0. zenon_intro zenon_H3d1.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d1). zenon_intro zenon_Hff. zenon_intro zenon_H3d2.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d2). zenon_intro zenon_He4. zenon_intro zenon_H3d3.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d3). zenon_intro zenon_H109. zenon_intro zenon_H3d4.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H16d. zenon_intro zenon_H3d5.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d5). zenon_intro zenon_He7. zenon_intro zenon_H3d6.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d6). zenon_intro zenon_H1f. zenon_intro zenon_H3d7.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d7). zenon_intro zenon_H25. zenon_intro zenon_H3d8.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d8). zenon_intro zenon_H31. zenon_intro zenon_H3d9.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3d9). zenon_intro zenon_H124. zenon_intro zenon_H3da.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3da). zenon_intro zenon_H127. zenon_intro zenon_H3db.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3db). zenon_intro zenon_H153. zenon_intro zenon_H3dc.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3dc). zenon_intro zenon_H74. zenon_intro zenon_H3dd.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3dd). zenon_intro zenon_Hab. zenon_intro zenon_H3de.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3de). zenon_intro zenon_Hb4. zenon_intro zenon_H3df.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H2b. zenon_intro zenon_H3e0.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e0). zenon_intro zenon_H36. zenon_intro zenon_H3e1.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e1). zenon_intro zenon_H129. zenon_intro zenon_H3e2.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e2). zenon_intro zenon_H192. zenon_intro zenon_H3e3.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e3). zenon_intro zenon_H173. zenon_intro zenon_H3e4.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e4). zenon_intro zenon_H12b. zenon_intro zenon_H3e5.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e5). zenon_intro zenon_H1f6. zenon_intro zenon_H3e6.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e6). zenon_intro zenon_H197. zenon_intro zenon_H3e7.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3a. zenon_intro zenon_H3e8.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e8). zenon_intro zenon_H1d3. zenon_intro zenon_H3e9.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H170. zenon_intro zenon_H3ea.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H1d7. zenon_intro zenon_H3eb.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H1d9. zenon_intro zenon_H3ec.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ec). zenon_intro zenon_H2fc. zenon_intro zenon_Heb.
% 8.76/8.92 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H67. zenon_intro zenon_H3ed.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H78. zenon_intro zenon_H3ee.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ee). zenon_intro zenon_Hc2. zenon_intro zenon_H3ef.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3ef). zenon_intro zenon_H7d. zenon_intro zenon_H3f0.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_Ha3. zenon_intro zenon_Ha8.
% 8.76/8.92 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H2f3. zenon_intro zenon_H3f3.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H2bf. zenon_intro zenon_H3f4.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3f4). zenon_intro zenon_H22d. zenon_intro zenon_H3f5.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H2a5. zenon_intro zenon_H22e.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H1e | zenon_intro zenon_H3f6 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f4 ].
% 8.76/8.92 apply (zenon_L1_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2a | zenon_intro zenon_H2f5 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.76/8.92 apply (zenon_L2_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.76/8.92 apply (zenon_L3_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.76/8.92 apply (zenon_L4_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.76/8.92 apply (zenon_L5_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.76/8.92 apply (zenon_L6_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.76/8.92 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))).
% 8.76/8.92 intro zenon_D_pnotp.
% 8.76/8.92 apply zenon_H12e.
% 8.76/8.92 rewrite <- zenon_D_pnotp.
% 8.76/8.92 exact zenon_H1e.
% 8.76/8.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.76/8.92 cut (((op (e0) (e0)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H3f7].
% 8.76/8.92 congruence.
% 8.76/8.92 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H130 | zenon_intro zenon_H131 ].
% 8.76/8.92 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e0)) = (op (e0) (op (e0) (e0))))).
% 8.76/8.92 intro zenon_D_pnotp.
% 8.76/8.92 apply zenon_H3f7.
% 8.76/8.92 rewrite <- zenon_D_pnotp.
% 8.76/8.92 exact zenon_H130.
% 8.76/8.92 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 8.76/8.92 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H3f8].
% 8.76/8.92 congruence.
% 8.76/8.92 cut (((op (e0) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f9].
% 8.76/8.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 8.76/8.92 congruence.
% 8.76/8.92 apply zenon_H3f. apply refl_equal.
% 8.76/8.92 exact (zenon_H3f9 zenon_H1e).
% 8.76/8.92 apply zenon_H131. apply refl_equal.
% 8.76/8.92 apply zenon_H131. apply refl_equal.
% 8.76/8.92 apply zenon_H3f. apply refl_equal.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.76/8.92 apply (zenon_L10_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.76/8.92 apply (zenon_L13_); trivial.
% 8.76/8.92 apply (zenon_L16_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.76/8.92 apply (zenon_L4_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.76/8.92 apply (zenon_L5_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ].
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12e. zenon_intro zenon_H2a8.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H118. zenon_intro zenon_H18a.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.76/8.92 apply (zenon_L17_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.76/8.92 apply (zenon_L18_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.76/8.92 apply (zenon_L19_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.76/8.92 apply (zenon_L20_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.76/8.92 apply (zenon_L71_); trivial.
% 8.76/8.92 apply (zenon_L496_); trivial.
% 8.76/8.92 apply (zenon_L498_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H47 | zenon_intro zenon_H2af ].
% 8.76/8.92 apply (zenon_L10_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H52 | zenon_intro zenon_H60 ].
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H4c. zenon_intro zenon_H57.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.76/8.92 apply (zenon_L17_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.76/8.92 apply (zenon_L18_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.76/8.92 apply (zenon_L643_); trivial.
% 8.76/8.92 apply (zenon_L498_); trivial.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 8.76/8.92 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H59.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.76/8.92 apply (zenon_L17_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.76/8.92 apply (zenon_L18_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.76/8.92 apply (zenon_L19_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.76/8.92 apply (zenon_L639_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.76/8.92 apply (zenon_L651_); trivial.
% 8.76/8.92 apply (zenon_L652_); trivial.
% 8.76/8.92 apply (zenon_L655_); trivial.
% 8.76/8.92 apply (zenon_L53_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H191 | zenon_intro zenon_H1b1 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H24 | zenon_intro zenon_H2c1 ].
% 8.76/8.92 apply (zenon_L2_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H29 | zenon_intro zenon_H2c2 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H30 | zenon_intro zenon_H22f ].
% 8.76/8.92 apply (zenon_L4_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H35 | zenon_intro zenon_H26e ].
% 8.76/8.92 apply (zenon_L74_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5a ].
% 8.76/8.92 apply (zenon_L191_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H66 | zenon_intro zenon_H2ab ].
% 8.76/8.92 apply (zenon_L17_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H6b | zenon_intro zenon_H2ac ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.76/8.92 apply (zenon_L17_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.76/8.92 apply (zenon_L638_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.92 apply (zenon_L656_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.92 apply (zenon_L670_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.76/8.92 apply (zenon_L261_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.76/8.92 apply (zenon_L626_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.76/8.92 apply (zenon_L668_); trivial.
% 8.76/8.92 apply (zenon_L672_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.92 apply (zenon_L314_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.92 apply (zenon_L657_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H143 | zenon_intro zenon_H286 ].
% 8.76/8.92 apply (zenon_L673_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H165 | zenon_intro zenon_H287 ].
% 8.76/8.92 apply (zenon_L626_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H80 | zenon_intro zenon_H10f ].
% 8.76/8.92 apply (zenon_L667_); trivial.
% 8.76/8.92 apply (zenon_L672_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H71 | zenon_intro zenon_Hd6 ].
% 8.76/8.92 apply (zenon_L78_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H66 | zenon_intro zenon_H151 ].
% 8.76/8.92 apply (zenon_L87_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H73 | zenon_intro zenon_H152 ].
% 8.76/8.92 apply (zenon_L93_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hf0 ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H77 | zenon_intro zenon_H120 ].
% 8.76/8.92 apply (zenon_L21_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hcb | zenon_intro zenon_H121 ].
% 8.76/8.92 apply (zenon_L314_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H7e | zenon_intro zenon_Hfe ].
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H1d | zenon_intro zenon_H361 ].
% 8.76/8.92 apply (zenon_L1_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H358 | zenon_intro zenon_H362 ].
% 8.76/8.92 apply (zenon_L664_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H165 | zenon_intro zenon_H1df ].
% 8.76/8.92 apply (zenon_L626_); trivial.
% 8.76/8.92 apply (zenon_L676_); trivial.
% 8.76/8.92 apply (zenon_L81_); trivial.
% 8.76/8.92 apply (zenon_L677_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H3b | zenon_intro zenon_H98 ].
% 8.76/8.92 apply (zenon_L198_); trivial.
% 8.76/8.92 apply (zenon_L711_); trivial.
% 8.76/8.92 apply (zenon_L850_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H73 | zenon_intro zenon_H3fa ].
% 8.76/8.92 apply (zenon_L639_); trivial.
% 8.76/8.92 apply (zenon_or_s _ _ zenon_H3fa); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H1a9 ].
% 8.76/8.92 apply (zenon_L495_); trivial.
% 8.76/8.92 apply (zenon_L354_); trivial.
% 8.76/8.92 Qed.
% 8.76/8.92 % SZS output end Proof
% 8.76/8.92 (* END-PROOF *)
% 8.76/8.92 nodes searched: 226720
% 8.76/8.92 max branch formulas: 331
% 8.76/8.92 proof nodes created: 9016
% 8.76/8.92 formulas created: 98407
% 8.76/8.92
%------------------------------------------------------------------------------